From 07f77f758fe6fba9931208bb0e9365c6e4fd9239 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?Franck=20P=C3=A9rignon?= <franck.perignon@imag.fr>
Date: Tue, 27 Jan 2015 18:19:00 +0100
Subject: [PATCH] Fix tests Fix penalisation/subsets (partially) Update doc
 (sphinx) Almost all tests ok except: 	 22 - mpi_test_advec_scales (Failed) 
  77 - test_advection_nullVelocity (Failed) 	 79 -
 test_advection_randomVelocity (Failed)

---
 {HySoP/CMake => CMake}/FindFFTW.cmake         |   0
 {HySoP/CMake => CMake}/FindPythonFull.cmake   |   0
 {HySoP/CMake => CMake}/FindPythonModule.cmake |   0
 .../CMake => CMake}/HySoPInstallSetup.cmake   |   0
 {HySoP/CMake => CMake}/HySoPTests.cmake       |   0
 {HySoP/CMake => CMake}/LibFindMacros.cmake    |   0
 {HySoP/CMake => CMake}/MyTools.cmake          |   0
 {HySoP/CMake => CMake}/OutOfSourceBuild.cmake |   0
 {HySoP/CMake => CMake}/PythonSetup.cmake      |   0
 .../CMake => CMake}/explore_python_config.py  |   0
 Docs/CMake                                    |   1 +
 Docs/sphinx_sources/user_guide/domains.rst    |   8 +-
 .../user_guide/penalisation.rst               |   6 +-
 Docs/sphinx_sources/user_guide/subsets.rst    |   8 +-
 Docs/sphinx_sources/user_guide/topologies.rst |  15 +
 HySoP/CMake                                   |   1 +
 HySoP/CMakeLists.txt                          |   4 +-
 HySoP/hysop/domain/__init__.py                |   5 -
 HySoP/hysop/domain/box.py                     |  26 +-
 HySoP/hysop/domain/control_box.py             |  66 ++--
 HySoP/hysop/domain/domain.py                  | 239 +++++++-----
 HySoP/hysop/domain/mesh.py                    |  72 ++--
 HySoP/hysop/domain/porous.py                  |  78 ++--
 HySoP/hysop/domain/subsets.py                 | 131 ++++---
 HySoP/hysop/domain/tests/test_box.py          |  44 +--
 HySoP/hysop/domain/tests/test_control_box.py  |  32 +-
 HySoP/hysop/domain/tests/test_mesh.py         |  16 +-
 HySoP/hysop/domain/tests/test_porous.py       |   6 +-
 .../hysop/domain/tests/test_regular_subset.py |   6 +-
 HySoP/hysop/domain/tests/test_submesh.py      |  10 +-
 HySoP/hysop/domain/tests/test_subset.py       |  19 +-
 HySoP/hysop/mpi/__init__.py                   |  27 +-
 HySoP/hysop/mpi/bridge.py                     |  16 +-
 HySoP/hysop/mpi/bridge_inter.py               |  10 +-
 HySoP/hysop/mpi/bridge_overlap.py             |  20 +-
 HySoP/hysop/mpi/tests/test_bridge.py          |   8 +-
 HySoP/hysop/mpi/tests/test_topology.py        |   8 +-
 HySoP/hysop/mpi/topology.py                   | 349 ++++++++++--------
 HySoP/hysop/operator/absorption_BC.py         |  13 +-
 HySoP/hysop/operator/adapt_timestep.py        |   4 +-
 HySoP/hysop/operator/continuous.py            |  44 +--
 HySoP/hysop/operator/discrete/discrete.py     |   4 +-
 .../hysop/operator/discrete/drag_and_lift.py  |  38 +-
 HySoP/hysop/operator/discrete/penalization.py |  96 ++++-
 .../operator/discrete/penalize_vorticity.py   |  70 +---
 HySoP/hysop/operator/drag_and_lift.py         |   2 +-
 HySoP/hysop/operator/penalization.py          | 147 +++++++-
 HySoP/hysop/operator/penalize_vorticity.py    |  89 +----
 HySoP/hysop/operator/poisson.py               |   6 +-
 HySoP/hysop/operator/redistribute.py          |   2 +-
 HySoP/hysop/operator/redistribute_inter.py    |   2 +-
 .../penal_vort_2d_multi_sphere_00000.h5       | Bin 13843 -> 14098 bytes
 .../penal_vort_3d_multi_sphere_00000.h5       | Bin 427569 -> 461358 bytes
 .../operator/tests/test_adaptive_time_step.py |   6 +-
 .../operator/tests/test_drag_and_lift.py      |   8 +-
 .../operator/tests/test_energy_enstrophy.py   |  33 +-
 HySoP/hysop/operator/tests/test_hdf5_io.py    |   4 +-
 HySoP/hysop/operator/tests/test_operators.py  |  10 +-
 .../hysop/operator/tests/test_penalization.py |  10 +-
 HySoP/hysop/operator/tests/test_poisson.py    |   6 +-
 .../hysop/operator/tests/test_redistribute.py |  71 ++--
 HySoP/hysop/operator/velocity_correction.py   |   2 +-
 HySoP/hysop/tools/io_utils.py                 |   4 +-
 HySoP/hysop/tools/parameters.py               |   8 +-
 .../hysop/tools/remeshing_formula_parsing.py  | 205 +++++-----
 .../hysop/tools/tests/test_formula_parsing.py |  24 +-
 66 files changed, 1159 insertions(+), 980 deletions(-)
 rename {HySoP/CMake => CMake}/FindFFTW.cmake (100%)
 rename {HySoP/CMake => CMake}/FindPythonFull.cmake (100%)
 rename {HySoP/CMake => CMake}/FindPythonModule.cmake (100%)
 rename {HySoP/CMake => CMake}/HySoPInstallSetup.cmake (100%)
 rename {HySoP/CMake => CMake}/HySoPTests.cmake (100%)
 rename {HySoP/CMake => CMake}/LibFindMacros.cmake (100%)
 rename {HySoP/CMake => CMake}/MyTools.cmake (100%)
 rename {HySoP/CMake => CMake}/OutOfSourceBuild.cmake (100%)
 rename {HySoP/CMake => CMake}/PythonSetup.cmake (100%)
 rename {HySoP/CMake => CMake}/explore_python_config.py (100%)
 create mode 120000 Docs/CMake
 create mode 100644 Docs/sphinx_sources/user_guide/topologies.rst
 create mode 120000 HySoP/CMake

diff --git a/HySoP/CMake/FindFFTW.cmake b/CMake/FindFFTW.cmake
similarity index 100%
rename from HySoP/CMake/FindFFTW.cmake
rename to CMake/FindFFTW.cmake
diff --git a/HySoP/CMake/FindPythonFull.cmake b/CMake/FindPythonFull.cmake
similarity index 100%
rename from HySoP/CMake/FindPythonFull.cmake
rename to CMake/FindPythonFull.cmake
diff --git a/HySoP/CMake/FindPythonModule.cmake b/CMake/FindPythonModule.cmake
similarity index 100%
rename from HySoP/CMake/FindPythonModule.cmake
rename to CMake/FindPythonModule.cmake
diff --git a/HySoP/CMake/HySoPInstallSetup.cmake b/CMake/HySoPInstallSetup.cmake
similarity index 100%
rename from HySoP/CMake/HySoPInstallSetup.cmake
rename to CMake/HySoPInstallSetup.cmake
diff --git a/HySoP/CMake/HySoPTests.cmake b/CMake/HySoPTests.cmake
similarity index 100%
rename from HySoP/CMake/HySoPTests.cmake
rename to CMake/HySoPTests.cmake
diff --git a/HySoP/CMake/LibFindMacros.cmake b/CMake/LibFindMacros.cmake
similarity index 100%
rename from HySoP/CMake/LibFindMacros.cmake
rename to CMake/LibFindMacros.cmake
diff --git a/HySoP/CMake/MyTools.cmake b/CMake/MyTools.cmake
similarity index 100%
rename from HySoP/CMake/MyTools.cmake
rename to CMake/MyTools.cmake
diff --git a/HySoP/CMake/OutOfSourceBuild.cmake b/CMake/OutOfSourceBuild.cmake
similarity index 100%
rename from HySoP/CMake/OutOfSourceBuild.cmake
rename to CMake/OutOfSourceBuild.cmake
diff --git a/HySoP/CMake/PythonSetup.cmake b/CMake/PythonSetup.cmake
similarity index 100%
rename from HySoP/CMake/PythonSetup.cmake
rename to CMake/PythonSetup.cmake
diff --git a/HySoP/CMake/explore_python_config.py b/CMake/explore_python_config.py
similarity index 100%
rename from HySoP/CMake/explore_python_config.py
rename to CMake/explore_python_config.py
diff --git a/Docs/CMake b/Docs/CMake
new file mode 120000
index 000000000..2a271a9f0
--- /dev/null
+++ b/Docs/CMake
@@ -0,0 +1 @@
+../CMake
\ No newline at end of file
diff --git a/Docs/sphinx_sources/user_guide/domains.rst b/Docs/sphinx_sources/user_guide/domains.rst
index 165b7e457..72404866b 100644
--- a/Docs/sphinx_sources/user_guide/domains.rst
+++ b/Docs/sphinx_sources/user_guide/domains.rst
@@ -10,10 +10,16 @@ Box-shaped domain
 
 :class:`~box.Box`
 
+Data distribution
+-----------------
+.. toctree::
+   :maxdepth: 2
+
+   topologies
+
 How to define a subset
 ----------------------
 
-
 .. toctree::
    :maxdepth: 2
 
diff --git a/Docs/sphinx_sources/user_guide/penalisation.rst b/Docs/sphinx_sources/user_guide/penalisation.rst
index 89a3f8599..7bd0ba197 100644
--- a/Docs/sphinx_sources/user_guide/penalisation.rst
+++ b/Docs/sphinx_sources/user_guide/penalisation.rst
@@ -3,12 +3,14 @@
 Penalisation
 ============
 
+.. currentmodule:: hysop.operator.penalization
+		   
 :math:`u(X,t)` is the current velocity field, :math:`\omega(X,t)` is the current vorticity field, :math:`u_D` the velocity of the obstacle, dt the time step.
 
 Velocity penalisation
 ---------------------
 
-:class:`hysop.operator.penalization.Penalization`
+:class:`Penalization`
 
 Solves:
 
@@ -41,7 +43,7 @@ After that, vorticity is computing as:
 Vorticity penalisation
 ----------------------
 
-:class:`hysop.operator.penalize_vorticity.PenalizeVorticity`
+:class:`PenalizeVorticity`
 
 Solves:
 
diff --git a/Docs/sphinx_sources/user_guide/subsets.rst b/Docs/sphinx_sources/user_guide/subsets.rst
index 6e07ab2f3..255b8dd84 100644
--- a/Docs/sphinx_sources/user_guide/subsets.rst
+++ b/Docs/sphinx_sources/user_guide/subsets.rst
@@ -3,9 +3,9 @@
 Subsets and obstacles
 ---------------------
 
-.. currentmodule:: hysop.domain.subsets
+.. currentmodule:: hysop.domain
 
-The class :class:`~subset.Subset` and its heirs allow user to define some subsets
+The class :class:`subsets.Subset` and its heirs allow user to define some subsets
 of a predefined domain. This may be useful for:
     * define specific area(s) where an operator applies (penalisation for example)
     * reduce the size of i/o by writing hdf output only for a specific area.
@@ -15,12 +15,12 @@ of a predefined domain. This may be useful for:
 Porous obstacles
 ^^^^^^^^^^^^^^^^
 
-:class:`~porous.BiPole`
+:class:`porous.BiPole`
 
 .. image:: /figures/PolesExample.png
 	   :width: 400pt
 
-:class:`~porous.QuadriPole`
+:class:`porous.QuadriPole`
 
 .. image:: /figures/QuadriPoleExample.png
 	   :width: 400pt
diff --git a/Docs/sphinx_sources/user_guide/topologies.rst b/Docs/sphinx_sources/user_guide/topologies.rst
new file mode 100644
index 000000000..de8d285fa
--- /dev/null
+++ b/Docs/sphinx_sources/user_guide/topologies.rst
@@ -0,0 +1,15 @@
+.. _topologies:
+
+MPI topologies and space discretisation
+=======================================
+
+.. currentmodule:: hysop.mpi
+		   
+:class:`topology.Cartesian` objects are used to described both the mpi grid layout
+and the space discretisations (global and local to each mpi process).
+
+TODO :
+
+* describe the different ways to build topologies
+* describe the way we define local and global grids.
+
diff --git a/HySoP/CMake b/HySoP/CMake
new file mode 120000
index 000000000..6126c5130
--- /dev/null
+++ b/HySoP/CMake
@@ -0,0 +1 @@
+../CMake/
\ No newline at end of file
diff --git a/HySoP/CMakeLists.txt b/HySoP/CMakeLists.txt
index c5a4075d6..e8fa1c138 100644
--- a/HySoP/CMakeLists.txt
+++ b/HySoP/CMakeLists.txt
@@ -85,14 +85,14 @@ include(FindPythonModule)
 
 # - python packages -
 find_python_module(numpy REQUIRED)
-find_python_module(scipy REQUIRED)
+find_python_module(scipy)
 find_python_module(matplotlib)
 if(NOT matplotlib_FOUND)
   find_python_module(Gnuplot REQUIRED)
 endif()
 find_python_module(scitools)
 find_python_module(h5py REQUIRED)
-find_python_module(sympy REQUIRED)
+find_python_module(sympy)
 # --- OpenCL ---
 find_python_module(pyopencl REQUIRED)
 # --- MPI ---
diff --git a/HySoP/hysop/domain/__init__.py b/HySoP/hysop/domain/__init__.py
index 79b477397..e69de29bb 100644
--- a/HySoP/hysop/domain/__init__.py
+++ b/HySoP/hysop/domain/__init__.py
@@ -1,5 +0,0 @@
-## @package hysop.domain
-# Physical domains descriptions and related tools.
-# At the time :
-# - Box for box-shaped domains
-# - obstacle
diff --git a/HySoP/hysop/domain/box.py b/HySoP/hysop/domain/box.py
index b67c20794..cbf6317fc 100644
--- a/HySoP/hysop/domain/box.py
+++ b/HySoP/hysop/domain/box.py
@@ -1,7 +1,4 @@
-"""
-@file box.py
-Box-shaped domains definition.
-
+"""Box-shaped domains definition.
 """
 from hysop.domain.domain import Domain
 from hysop.constants import PERIODIC, debug
@@ -9,10 +6,9 @@ import hysop.tools.numpywrappers as npw
 
 
 class Box(Domain):
-    """
-    Box-shaped domain description.
-    @note FP : BC as parameter may be better?
-    @todo Have different BC
+    """ Box-shaped domain description.
+
+    todo implement different boundary conditions typesKHave different BC
     """
 
     @debug
@@ -20,8 +16,12 @@ class Box(Domain):
         """
         Create a Periodic Box from a dimension, length and origin.
 
-        @param length : Box length. Default [1.0, ...]
-        @param origin : Box minimum position. Default [0., ...]
+        Parameters
+        -----------
+        length : list or numpy array of double
+            box sides lengthes. Default = [1.0, ...]
+        origin : list or numpy array of double
+            position of the lowest point of the box. Default [0., ...]
 
         Example:
 
@@ -59,10 +59,6 @@ class Box(Domain):
             assert list(self.boundaries).count(PERIODIC) == self.dimension, msg
 
     def __str__(self):
-        """
-        Informations display.
-        @return Informations
-        """
         s = str(self.dimension) + \
             "D box (parallelepipedic or rectangular) domain : \n"
 
@@ -74,5 +70,5 @@ class Box(Domain):
         c1 = (self.length == other.length).all()
         c2 = (self.origin == other.origin).all()
         c3 = (self.boundaries == other.boundaries).all()
-        c4 = self.currentTask() == other.currentTask()
+        c4 = self.current_task() == other.current_task()
         return c1 and c2 and c3 and c4
diff --git a/HySoP/hysop/domain/control_box.py b/HySoP/hysop/domain/control_box.py
index 2c3bd2214..47d285e5a 100644
--- a/HySoP/hysop/domain/control_box.py
+++ b/HySoP/hysop/domain/control_box.py
@@ -12,6 +12,9 @@ class ControlBox(SubBox):
     Useful to define control volume to perform integration.
     """
     def __init__(self, **kwds):
+        """
+        Same parameters as for :class:`hysop.domain.subsets.SubBox`.
+        """
         super(ControlBox, self).__init__(**kwds)
 
         # We must have a real box, not a plane ...
@@ -20,6 +23,9 @@ class ControlBox(SubBox):
         self.surf = [None] * len(self.length) * 2
 
     def discretize(self, topo):
+        """Create a sub meshes for topo inside the control box and
+        on its faces.
+        """
         # Create the mesh for the whole box
         super(ControlBox, self).discretize(topo)
         # Create a mesh for each side
@@ -54,17 +60,26 @@ class ControlBox(SubBox):
 
     def integrate_on_faces(self, field, topo, list_dir,
                            component=0, root=None):
-        """
-        @param[in] field : a hysop continuous field
-        @param[in] topo : a hysop.mpi.topology.Cartesian topology
-        @param[in] root : root process used for mpi reduction. If None
-        reduction is done on all processes from topo.
-        @param[in] list_dir : list of surfaces on which we must integrate.
-        0 : normal to xdir, lower surf,
-        1 : normal to xdir, upper surf (in x dir)
-        2 : normal to ydir, lower surf, and so on.
-        the field must be integrated.
-        @return a numpy array, with res = sum
+        """Integration of a field on one or more faces of the box
+
+        Parameters
+        ----------
+        field : :class:`~hysop.fields.continuous.Field`
+            a field to be integrated on the box
+        topo : :class:`~hysop.mpi.topology.Cartesian`
+            set mesh/topology used for integration
+        list_dir : list of int
+            indices of faces on which integration is required
+            0 : normal to xdir, lower surf,
+            1 : normal to xdir, upper surf (in x dir)
+            2 : normal to ydir, lower surf, and so on.
+        component : int, optional
+            number of the field component to be integrated
+        root : int, optional
+            rank of the leading mpi process (to collect data)
+            If None reduction is done on all processes from topo.
+
+        Returns a numpy array, with res = sum
         of the integrals of a component of field on all surf in list_dir
         """
         res = 0.
@@ -79,17 +94,24 @@ class ControlBox(SubBox):
             return topo.comm.reduce(res, root=root)
 
     def integrate_on_faces_allc(self, field, topo, list_dir, root=None):
-        """
-        @param[in] field : a hysop continuous field
-        @param[in] topo : a hysop.mpi.topology.Cartesian topology
-        @param[in] root : root process used for mpi reduction. If None
-        reduction is done on all processes from topo.
-        @param[in] list_dir : list of surfaces on which we must integrate.
-        0 : normal to xdir, lower surf,
-        1 : normal to xdir, upper surf (in x dir)
-        2 : normal to ydir, lower surf, and so on.
-        the field must be integrated.
-        @return a numpy array, with res[i] = sum
+        """Integration of a field on one or more faces of the box
+
+        Parameters
+        ----------
+        field : :class:`~hysop.fields.continuous.Field`
+            a field to be integrated on the box
+        topo : :class:`~hysop.mpi.topology.Cartesian`
+            set mesh/topology used for integration
+        list_dir : list of int
+            indices of faces on which integration is required
+            0 : normal to xdir, lower surf,
+            1 : normal to xdir, upper surf (in x dir)
+            2 : normal to ydir, lower surf, and so on.
+        root : int, optional
+            rank of the leading mpi process (to collect data)
+            If None reduction is done on all processes from topo.
+
+        Returns a numpy array, with res[i] = sum
         of the integrals of component i of field on all surf in list_dir
         """
         nbc = field.nb_components
diff --git a/HySoP/hysop/domain/domain.py b/HySoP/hysop/domain/domain.py
index cecad94d3..6868c724d 100644
--- a/HySoP/hysop/domain/domain.py
+++ b/HySoP/hysop/domain/domain.py
@@ -1,7 +1,4 @@
-"""
-@file domain.py
-
-Abstract interface for physical domains description.
+"""Abstract interface for physical domains description.
 
 """
 from abc import ABCMeta, abstractmethod
@@ -24,21 +21,51 @@ class Domain(object):
     @debug
     @abstractmethod
     def __init__(self, dimension=3, proc_tasks=None, bc=None):
-        """ Constructor
-        @param dimension integer : domain dimension.
-        @param proc_tasks : task - mpi processes connection.
+        """
+
+        Parameters
+        ----------
+        dimension : integer, optional
+        proc_tasks : list or array of int, optional
+            connectivity between mpi process id and task number.
+            See notes below. Default : all procs on task DEFAULT_TASK_ID.
+        bc : list or array of int, optional
+            type of boundary condtions. See notes below.
+
+
+        Attributes
+        ----------
+
+        dimension : int
+        topologies : dictionnary of :class:`~hysop.mpi.topology.Cartesian`
+            all topologies already built for this domain.
+        comm_task : mpi communicator
+            corresponds to the task that owns the current process.
+        boundaries : list or array of int
+            boundary conditions type.
+
+        Notes
+        -----
+        About boundary conditions
+        ==========================
+        At the time, only periodic boundary conditions are implemented.
+        Do not use this parameter (i.e. let default values)
+
+        About MPI Tasks
+        ================
         proc_tasks[n] = 12 means that task 12 owns proc n.
+
         """
-        ## Domain dimension.
+        # Domain dimension.
         self.dimension = dimension
-        ## A list of all the topologies defined on this domain.
-        ## Each topology is unique in the sense defined by
-        ## the comparison operator in the class hysop.mpi.topology.Cartesian.
+        # A list of all the topologies defined on this domain.
+        # Each topology is unique in the sense defined by
+        # the comparison operator in the class hysop.mpi.topology.Cartesian.
         self.topologies = {}
 
-        ## Connectivity between mpi tasks and proc numbers :
-        ## self.task_of_proc[i] returns the task which is bound to proc of
-        ## rank i in main_comm.
+        # Connectivity between mpi tasks and proc numbers :
+        # self.task_of_proc[i] returns the task which is bound to proc of
+        # rank i in main_comm.
         # Warning FP: rank in main_comm! We consider that each proc has
         # one and only one task.
         # Maybe we should change this and allow proc_tasks in subcomm
@@ -53,19 +80,29 @@ class Domain(object):
             comm_s = main_comm.Split(color=proc_tasks[main_rank],
                                      key=main_rank)
 
-        ## The sub-communicator corresponding to the task that owns
-        ## the current process.
+        # The sub-communicator corresponding to the task that owns
+        # the current process.
         self.comm_task = comm_s
-        ## Boundary conditions type.
-        ## At the moment, only periodic conditions are allowed.
+        # Boundary conditions type.
+        # At the moment, only periodic conditions are allowed.
         self.boundaries = bc
 
-    def isOnTask(self, params):
-        """
-        @param params : a hysop.mpi.MPIParams object
+    def is_on_task(self, params):
+        """Test if the current process corresponds to param task.
+
+        :param params: :class:`~hysop.mpi.MPIParams` or int
+            description of the mpi setup or task number.
         or an int (task number)
-        @return true if params.task_id (or params if int) corresponds with
-        task_id of the current proc.
+        :return bool:
+
+        Example :
+        :code:
+        dom.is_on_task(4)
+        mpi_params = MPIParams(task_id=4)
+        dom.is_on_task(mpi_params)
+        :code:
+
+        returns True if the current process runs on task 4.
         """
         if params.__class__ is MPIParams:
             return params.task_id == self._tasks_on_proc[main_rank]
@@ -73,147 +110,151 @@ class Domain(object):
             return params == self._tasks_on_proc[main_rank]
 
     def tasks_on_proc(self, index):
-        """
-        @param index: proc number
-        @return task number of mpi proc 'index'
+        """Get task number for a given mpi process
+
+        :param index: int
+            proc number
+        :return int:
         """
         return self._tasks_on_proc[index]
 
     def tasks_list(self):
-        """
-        @return the connectivity between proc. numbers and their associated
-        task (numbers in main_comm).
+        """Get task/process number connectivity
+
+        :return list or array of int:
+            such that res[proc_number] = task_id
         """
         return self._tasks_on_proc
 
-    def currentTask(self):
-        """
-        @return task number of the current proc.
+    def current_task(self):
+        """Get task number of the current mpi process.
+
+        :return int:
         """
         return self._tasks_on_proc[main_rank]
 
     def create_topology(self, discretization, dim=None, mpi_params=None,
                         shape=None, cutdir=None):
-        """
-        Create or return an existing hysop.mpi.topology.
-
-        Either it gets the topology corresponding to the input arguments
-        if it exists (in the sense of the comparison operator defined in
-        hysop.mpi.topology.Cartesian)
-        or it creates a new topology and register it i n the topology list.
-        @param domain : the geometry; it must be a box.
-        @param discretization : a hysop.tools.parameters.Discretization
-        with:
-        - resolution = Number of points in the domain
-        in each direction. We assume that first point corresponds
-        to origin, and last point to boundary point,
-        whatever the boundary type is.
-        That is x[0] = domain.origin and
-        x[Discretization.resolution-1] = domain.Lengths_x.
-        - ghosts =  number of points in the ghost layer
-        @param dim : dimension of the topology
-        @param mpi_params : a hysop.tools.parameters.MPIParams, with:
-        - comm : MPI communicator used to create this topology
-         (default = main_comm)
-        - task_id : id of the task that owns this topology.
-        @param isperiodic : periodicity of the topology (in each direction)
-        @param cutdir : array of bool, set cutdir[dir] = True if you want
-        to distribute data through direction dir.
-        @param shape : topology resolution
-        (i.e process layout in each direction).
-        @return the required topology.
+        """Create or return an existing :class:`~hysop.mpi.topology.Cartesian`.
+
+        Parameters
+        -----------
+        discretization : :class:`~hysop.tools.parameters.Discretization`
+            description of the global space discretization
+            (resolution and ghosts).
+        dim : int, optional
+            mpi topology dimension.
+        mpi_params : :class:`~hysop.tools.parameters.MPIParams`, optional
+            mpi setup (comm, task ...).
+            If None, comm = main_comm, task = DEFAULT_TASK_ID.
+        shape : list or array of int
+            mpi grid layout
+        cutdir : list or array of bool
+            set which directions must (may) be distributed,
+            cutdir[dir] = True to distribute data along dir.
+
+        Returns
+        -------
+        :class:`~hysop.mpi.topology.Cartesian`
+            Either it gets the topology corresponding to the input arguments
+            if it exists (in the sense of the comparison operator defined in
+            :class:`~hysop.mpi.topology.Cartesian`)
+            or it creates a new topology and register it in the topology dict.
+
         """
         # set task number
-        tid = self.currentTask()
+        tid = self.current_task()
         if mpi_params is None:
             mpi_params = MPIParams(comm=self.comm_task, task_id=tid)
         else:
             msg = 'Try to create a topology on a process that does not'
             msg += ' belong to the current task.'
             assert mpi_params.task_id == tid, msg
-        newTopo = Cartesian(self, discretization, dim=dim,
-                            mpi_params=mpi_params, shape=shape,
-                            cutdir=cutdir)
-        newid = newTopo.get_id()
+        new_topo = Cartesian(self, discretization, dim=dim,
+                             mpi_params=mpi_params, shape=shape,
+                             cutdir=cutdir)
+        newid = new_topo.get_id()
         return self.topologies[newid]
 
     def create_plane_topology_from_mesh(self, localres, global_start,
                                         cdir=None, **kwds):
-        """
-        Create or return an existing hysop.mpi.topology.
+        """Create 1D topology from predifined :class:`~hysop.domain.mesh.Mesh`.
 
         Define a 'plane' (1D) topology for a given mesh resolution.
         This function is to be used when topo/discretization features
         come from an external routine (e.g. scales or fftw)
-        @param localres : local mesh resolution
-        @param global_start : global indices of the lowest point
-        of the local mesh.
-        @param cdir : direction of cutting (i.e. normal to mpi planes)
-        default = last if fortran order, first if C order.
+
+        Parameters
+        ----------
+        localres : list or array of int
+            local mesh resolution
+        global_start : list or array of int
+            indices in the global mesh of the lowest point of the local mesh.
+        cdir : int, optional
+            direction where data must be distributed in priority.
+            Default = last if fortran order, first if C order.
+        **kwds : other args
+            used in :class:`~hysop.mpi.topology.Cartesian` build.
+
         """
-        tid = self.currentTask()
+        tid = self.current_task()
         if 'mpi_params' not in kwds:
             kwds['mpi_params'] = MPIParams(comm=self.comm_task, task_id=tid)
         else:
             msg = 'Try to create a topology on a process that does not'
             msg += ' belong to the current task.'
             assert kwds['mpi_params'].task_id == tid, msg
-        newTopo = Cartesian.plane_precomputed(localres, global_start, cdir,
-                                              domain=self, **kwds)
+        new_topo = Cartesian.plane_precomputed(localres, global_start, cdir,
+                                               domain=self, **kwds)
 
-        newid = newTopo.get_id()
+        newid = new_topo.get_id()
         return self.topologies[newid]
 
-    def _checkTopo(self, newTopo):
-        """
-        Return the id of the input topology
+    def _check_topo(self, new_topo):
+        """Returns the id of the input topology
         if it exists in the domain list, else return -1.
-        @param newTopo : the topology  to check
-        @return id of the topology if present else -1.
         """
         otherid = -1
         for top in self.topologies.values():
-            if newTopo == top:
+            if new_topo == top:
                 otherid = top.get_id()
                 break
         return otherid
 
-    def register(self, newTopo):
-        """
-        Add a new topology in the list of this domain.
+    def register(self, new_topo):
+        """Add a new topology in the list of this domain.
         Do nothing if an equivalent topology is already
         in the list.
-        @param newTopo : the topology to be registered.
-        @return the id of the new registered topology
+
+        :Returns the id of the new registered topology
         or of the corresponding 'old one' if it already exists.
         """
-        otherid = self._checkTopo(newTopo)
+        otherid = self._check_topo(new_topo)
         if otherid < 0:
-            self.topologies[newTopo.get_id()] = newTopo
-            newTopo.isNew = True
-            newid = newTopo.get_id()
+            self.topologies[new_topo.get_id()] = new_topo
+            new_topo.isNew = True
+            newid = new_topo.get_id()
         else:
             # No registration
-            newTopo.isNew = False
+            new_topo.isNew = False
             newid = otherid
         return newid
 
     def remove(self, topo):
-        """
-        Remove a topology from the list of this domain.
+        """Remove a topology from the list of this domain.
         Do nothing if the topology does not exist in the list.
         Warning : the object topo is not destroyed, only
         removed from self.topologies.
-        @param topo : the topology to be removed.
-        @return either the od of the removed topology
+
+        Returns either the id of the removed topology
         or -1 if nothing is done.
         """
-        otherid = self._checkTopo(topo)
+        otherid = self._check_topo(topo)
         if otherid >= 0:
             self.topologies.pop(otherid)
         return otherid
 
-    def printTopologies(self):
+    def print_topologies(self):
         """
         Print all topologies of the domain.
         """
@@ -238,7 +279,7 @@ class Domain(object):
 
     def i_periodic_boundaries(self):
         """
-        @return list of directions where
+        Returns the list of directions where
         boundaries are periodic
         """
         return np.where(self.boundaries == PERIODIC)[0]
diff --git a/HySoP/hysop/domain/mesh.py b/HySoP/hysop/domain/mesh.py
index 616be81b4..b3f26498a 100644
--- a/HySoP/hysop/domain/mesh.py
+++ b/HySoP/hysop/domain/mesh.py
@@ -1,5 +1,4 @@
-"""
-@file mesh.py local cartesian grid.
+"""local (mpi process) cartesian grid.
 """
 from hysop.constants import debug
 import hysop.tools.numpywrappers as npw
@@ -63,12 +62,16 @@ class Mesh(object):
     @debug
     def __init__(self, parent, discretization, resolution, global_start):
         """
-        @param parent : the geometry on which this mesh is defined
-        (it must be a rectangle or a rectangular cuboid)
-        @param discretization : hysop.tools.parameters.Discretization which
-        describes the global discretization of the domain
-        (resolution and ghost layer)
-        @param global_start
+        Parameters
+        -----------
+        parent : :class:`hysop.domain.domain.Domain`
+            the geometry on which this mesh is defined
+            (it must be a rectangle or a rectangular cuboid)
+        discretization : :class:`hysop.tools.parameters.Discretization`
+            describes the global discretization of the domain
+            (resolution and ghost layer)
+        global_start : list or array of int
+            indices in the global mesh of the lowest point of the local mesh.
         """
 
         # Note : all variables with 'global' prefix are related
@@ -155,9 +158,11 @@ class Mesh(object):
                                       / self.space_step))
 
     def is_inside(self, point):
-        """
-        @param point: coordinates of a point
-        @return : true if the point is inside the local (mpi proc) mesh
+        """True if the point belongs to volume or surface
+        described by the mesh
+
+        :param point: list or numpy array,
+           coordinates of a point
         """
         point = npw.asrealarray(point)
         return ((point - self.origin) >= 0.).all() and ((self.end
@@ -175,13 +180,12 @@ class Mesh(object):
         return s
 
     def convert2local(self, sl):
-        """
-        Return the local mesh indices from
-        their global indices.
-        Ilocal = Iglobal - _global_start + ghost
-        @param sl: the list of slices (one per dir) for global indices
+        """convert indices from global mesh to local one
+
+        :param sl: list of slices (one slice per dir) of global indices
         something like [(start_dir1, end_dir1), ...]
-        @return the same kind of list but in local coordinates
+
+        Returns the same kind of list but in local coordinates
         """
         tmp = utils.intersl(sl, self.position)
         if tmp is not None:
@@ -192,26 +196,22 @@ class Mesh(object):
             return None
 
     def convert2global(self, sl):
-        """
-        Return the global mesh indices from
-        their local indices.
-        Iglobal = Ilocal + _global_start - ghost
-        @param loc_index an array of size domain.dim*2
-        with loc_index = [start_dir1, end_dir1, start_dir2, end_dir2, ...]
-        return an array of indices, same 'setup' as loc_index.
+        """convert indices from local mesh to global one
+
+        :param sl: list of slices (one slice per dir) of local indices
+        something like [(start_dir1, end_dir1), ...]
+
+        Returns the same kind of list but in global coordinates
         """
         return [slice(sl[i].start - self._shift[i],
                       sl[i].stop - self._shift[i])
                 for i in xrange(self._dim)]
 
     def __eq__(self, other):
-        """
-        = operator for mesh.
-        We consider that 2 submeshes are equal if all the conditions
-        below are fulfilled:
-        - their global resolution is the same
-        - the ghost layer is the same
-        - their local resolution is the same
+        """True if meshes are equal.
+        Two meshes are equal if they have the same
+        global resolution, the same ghost layer and the same
+        local resolution is the same
         """
         if self.__class__ != other.__class__:
             return False
@@ -219,8 +219,7 @@ class Mesh(object):
             npw.equal(self.resolution, other.resolution).all()
 
     def start(self):
-        """
-        @return indices of the lowest point of the local mesh
+        """Returns indices of the lowest point of the local mesh
         in the global grid
         """
         return npw.asdimarray([p for p in
@@ -228,9 +227,9 @@ class Mesh(object):
                                 for d in xrange(self._dim))])
 
     def stop(self):
-        """
-        @return indices + 1 of the 'highest' point of the local mesh
+        """Returns indices + 1 of the 'highest' point of the local mesh
         in the global grid.
+
         Warning: made to be used in slices :
         slice(mesh.start()[d], mesh.stop()[d]) represents the
         points of the current process mesh, indices given
@@ -241,8 +240,7 @@ class Mesh(object):
                                 for d in xrange(self._dim))])
 
     def global_resolution(self):
-        """
-        @return the resolution of the global grid (on the whole
+        """Returns the resolution of the global grid (on the whole
         domain, whatever the mpi distribution is).
         Warning : this depends on the type of boundary conditions.
         For periodic bc, this corresponds to the user-defined discretization
diff --git a/HySoP/hysop/domain/porous.py b/HySoP/hysop/domain/porous.py
index f57fe5643..5d7a5643b 100644
--- a/HySoP/hysop/domain/porous.py
+++ b/HySoP/hysop/domain/porous.py
@@ -1,4 +1,17 @@
-"""Pre-defined subsets as combination of basic geometries.
+"""Porous (multi-layers) subsets:
+
+.. currentmodule hysop.domain.porous
+* :class:`~Porous`
+* :class:`~BiPole`
+* :class:`~QuadriPole`
+* :class:`~RingPole`
+* :class:`~Ring`
+
+See also
+--------
+
+* :class:`~hysop.domain.subsets.Subset` for standard subsets.
+* :ref:`subsets` in HySoP user guide.
 
 """
 from hysop.domain.subsets import Subset, Sphere, HemiSphere
@@ -19,7 +32,7 @@ class Porous(Subset):
         """
         Parameters
         -----------
-        source : :class:`~hysop.domain.subsets.subset.Subset`
+        source : :class:`~hysop.domain.subsets.Subset`
             geometry of the object. The only authorized sources are :
             Cylinder, Sphere, HemiSphere, HemiCylinder
         origin : list or array of coordinates
@@ -27,7 +40,17 @@ class Porous(Subset):
         layers : list of real
             width of each layer (starting from outside layer)
         """
-        super(Porous, self).__init__(**kwds)
+        # the external layer of the porous subset.
+        # Note FP : we need this envelop to set a proper
+        # indicator function for the porous subset, since this
+        # function is used in all the union, intersection ...
+        # methods.
+        # is_inside will return true for any point inside this
+        # envelop.
+        envelop = source(parent=kwds['parent'], origin=origin,
+                         radius=sum(layers))
+        assert 'chi' not in kwds
+        super(Porous, self).__init__(chi=envelop.get_chi(), **kwds)
         # Center position
         self.origin = npw.asrealarray(origin).copy()
         self.is_porous = True
@@ -36,7 +59,6 @@ class Porous(Subset):
         assert isinstance(layers, list)
         # width of porous layers on the source
         self._layers = layers
-
         self._box = None
 
     def discretize(self, topo):
@@ -117,24 +139,22 @@ class BiPole(Porous):
         ----------
         poles_thickness : real or list or array of real numbers
             thickness of layer(s) in direction given by poles_dir.
-            Use :
-            * poles_thickness = value or [value] if all poles have the
-              same width.
-            * poles_thickness = [v1, v2] to set bottom pole to v1 and top
-              pole to v2
+            Use poles_thickness = value or [value]
+            if all poles have the same width.
+            Or, to set bottom pole to v1 and top pole to v2
+            poles_thickness = [v1, v2].
         poles_dir : int
             direction for which poles are 'computed'. Default = last dir.
         kwds : args for base class
 
-        Example:
-        --------
+        Notes
+        -----
 
-        >>> obst = BiPole(..., source=HemiSphere,
-        ...               poles_thickness=[0.1, 0.2], poles_dir=[2]
+        An example to create poles in direction 2, i.e. z,
+        of thickness 0.2 on top and 0.1 at the bottom of an HemiSphere::
 
-        will create poles in direction 2, i.e. z,
-        of thickness 0.2 on top and 0.1 at the
-        bottom of an HemiSphere.
+            obst = BiPole(..., source=HemiSphere, poles_thickness=[0.1, 0.2],
+                          poles_dir=[2])
 
         """
         super(BiPole, self).__init__(**kwds)
@@ -189,24 +209,22 @@ class QuadriPole(Porous):
         ----------
         poles_thickness : real or list or array of real numbers
             thickness of layer(s) in direction given by poles_dir.
-            Use :
-            * poles_thickness = value or [v1, v2] if all poles in one direction
-              have the
-              same width.
-            * poles_thickness = [v1, v2, v3, v4] to set
-              bottom/top poles to v1/v2 in y dir
-              and bottom/top poles to v3/v4 in z dir.
+            Use poles_thickness = value or [v1, v2]
+            if all poles in one direction have the same width.
+            Or, to set bottom/top poles to v1/v2 in y dir and
+            bottom/top poles to v3/v4 in z dir,
+            poles_thickness = [v1, v2, v3, v4].
+
         kwds : args for base class
 
-        Example:
-        --------
+        Notes
+        -----
 
-        >>> obst = QuadriPole(source=HemiSphere,
-        ...                   poles_thickness=[0.1, 0.2])
+        An example to create poles in direction 2, i.e. z,
+        of thickness 0.2 on top and 0.1 at the bottom, on an HemiSphere::
 
-        will create poles in direction 2, i.e. z,
-        of thickness 0.2 on top and 0.1 at the
-        bottom, on an HemiSphere.
+            obst = QuadriPole(..., source=HemiSphere,
+                              poles_thickness=[0.1, 0.2])
 
         """
         super(QuadriPole, self).__init__(**kwds)
diff --git a/HySoP/hysop/domain/subsets.py b/HySoP/hysop/domain/subsets.py
index 572620b8f..65baf2d02 100644
--- a/HySoP/hysop/domain/subsets.py
+++ b/HySoP/hysop/domain/subsets.py
@@ -1,4 +1,18 @@
-""" subsets of a given domain (sphere ...)
+"""Subsets of a given domain:
+
+* :class:`~hysop.domain.subsets.Sphere`,
+* :class:`~hysop.domain.subsets.HemiSphere`,
+* :class:`~hysop.domain.subsets.Cylinder`,
+* :class:`~hysop.domain.subsets.HemiCylinder`,
+* :class:`~hysop.domain.subsets.SubBox`,
+* :class:`~hysop.domain.subsets.Subset` (abstract base class).
+
+See also
+--------
+
+* :class:`~hysop.domain.porous.Porous` for porous (multi-layers) subsets.
+* :ref:`subsets` in HySoP user guide.
+
 """
 from hysop.domain.domain import Domain
 import numpy as np
@@ -13,24 +27,18 @@ class Subset(object):
     """
     A subset is a geometry defined inside a domain.
     Given a topology on the parent domain, the subset must
-    provide 'slices' or 'tabs' to allow the computation of a discrete
-    field on the subset, with:
+    provide some lists of indices to allow the computation of a discrete
+    field on the subset, with something like
 
-    data[subset.slices] = ...
+    data[subset.ind[topo] = ...
     or
     data[subset.tab] = ...
 
-    slices : a list of python slices defining the grid points inside the subset
-    ind : a tuple of arrays of indices
-
     There are two types of subsets:
     - 'regular' ones, those on which a regular mesh can be defined
     - others, like spheres, cylinders ...
 
-    For regular subsets, one must use 'slices' to compute field inside
-    the subset whereas 'tab' is required for others.
-
-    Regular subsets have an attribute 'ind' which is a dictionnary of tuples
+    Subsets have an attribute 'ind' which is a dictionnary of tuples
     representing the points inside the subset, (keys = topology) such that:
     ind[topo] = (i_x, i_y, i_z),
     with i_x[i], i_y[i], i_z[i] for each index i being the indices in the
@@ -61,10 +69,10 @@ class Subset(object):
         -----
 
         func argument list must start with space coordinates,
-        e.g. for a 3D domain something like:
+        e.g. for a 3D domain something like::
 
-        >>> def myfunc(x, y, z, ...):
-        ...
+            def myfunc(x, y, z, ...):
+                ...
 
         """
         assert isinstance(parent, Domain)
@@ -98,6 +106,22 @@ class Subset(object):
         """
         return self._is_inside(*args) <= 0
 
+    def _set_chi(self, chi):
+        """Reset indicator function
+
+        Mostly for internal setup (during porous obst. init), so do not
+        use it or use it with care ...
+        """
+        self._is_inside = chi
+
+    def get_chi(self):
+        """Get indicator function
+
+        Mostly for internal setup (during porous obst. init), so do not
+        use it or use it with care ...
+        """
+        return self._is_inside
+
     def discretize(self, topo):
         """
         Create the list of indices for points inside the subset
@@ -144,7 +168,7 @@ class Subset(object):
 
         Parameters
         ----------
-        slist : a list of :class:`~hysop.subset.subsets.Subset`
+        slist : a list of :class:`~hysop.domain.subsets.Subset`
         topo : :class:`~hysop.mpi.topology.Cartesian`
 
         Returns
@@ -162,7 +186,7 @@ class Subset(object):
 
         Parameters
         ----------
-        slist : a list of :class:`~hysop.subset.subsets.Subset`
+        slist : a list of :class:`~hysop.domain.subsets.Subset`
         topo : :class:`~hysop.mpi.topology.Cartesian`
 
         Returns
@@ -193,7 +217,7 @@ class Subset(object):
 
         Parameters
         ----------
-        s1, s2 : lists of :class:`~hysop.subset.subsets.Subset`
+        s1, s2 : lists of :class:`~hysop.domain.subsets.Subset`
         topo : :class:`~hysop.mpi.topology.Cartesian`
 
         Returns
@@ -211,8 +235,8 @@ class Subset(object):
 
         Parameters
         ----------
-        slist : list of Subset
-        topo : `~hysop.mpi.topology.Cartesian`
+        slist : list of :class:`~hysop.domain.subsets.Subset`
+        topo : :class:`~hysop.mpi.topology.Cartesian`
 
         Returns
         --------
@@ -228,8 +252,8 @@ class Subset(object):
 
         Parameters
         ----------
-        slist : list of Subset
-        topo : `~hysop.mpi.topology.Cartesian`
+        slist : list of :class:`~hysop.domain.subsets.Subset`
+        topo : :class:`~hysop.mpi.topology.Cartesian`
 
         Returns
         --------
@@ -260,8 +284,8 @@ class Subset(object):
 
         Parameters
         ----------
-        s1, s2 : Subset
-        topo : `~hysop.mpi.topology.Cartesian`
+        s1, s2 : :class:`~hysop.domain.subsets.Subset`
+        topo : :class:`~hysop.mpi.topology.Cartesian`
 
         Returns
         --------
@@ -275,8 +299,8 @@ class Subset(object):
 
         Parameters
         ----------
-        s1, s2 : Subset
-        topo : `~hysop.mpi.topology.Cartesian`
+        s1, s2 : :class:`~hysop.domain.subsets.Subset`
+        topo : :class:`~hysop.mpi.topology.Cartesian`
 
         Returns
         --------
@@ -298,8 +322,8 @@ class Subset(object):
 
         Parameters
         ----------
-        s1, s2 : list of Subset
-        topo : `~hysop.mpi.topology.Cartesian`
+        s1, s2 : list of :class:`~hysop.domain.subsets.Subset`
+        topo : :class:`~hysop.mpi.topology.Cartesian`
 
         Returns
         --------
@@ -314,9 +338,9 @@ class Subset(object):
 
         Parameters
         ----------
-        field : `~hysop.fields.continuous.Field`
+        field : :class:`~hysop.fields.continuous.Field`
             a field to be integrated on the box
-        topo : `~hysop.mpi.topology.Cartesian`
+        topo : :class:`~hysop.mpi.topology.Cartesian`
             set mesh/topology used for integration
         root : int, optional
             rank of the leading mpi process (to collect data)
@@ -343,9 +367,9 @@ class Subset(object):
 
         Parameters
         ----------
-        field : `~hysop.fields.continuous.Field`
+        field : :class:`~hysop.fields.continuous.Field`
             a field to be integrated on the box
-        topo : `~hysop.mpi.topology.Cartesian`
+        topo : :class:`~hysop.mpi.topology.Cartesian`
             set mesh/topology used for integration
         component : int, optional
             number of the field component to be integrated
@@ -369,9 +393,9 @@ class Subset(object):
 
         Parameters
         ----------
-        field : `~hysop.fields.continuous.Field`
+        field : :class:`~hysop.fields.continuous.Field`
             a field to be integrated on the box
-        topo : `~hysop.mpi.topology.Cartesian`
+        topo : :class:`~hysop.mpi.topology.Cartesian`
             set mesh/topology used for integration
         component : int, optional
             number of the field component to be integrated
@@ -395,7 +419,7 @@ class Subset(object):
 
         Parameters
         ----------
-        field : `~hysop.fields.discrete.DiscreteField`
+        field : :class:`~hysop.fields.discrete.DiscreteField`
             a field to be integrated on the box
         root : int, optional
             rank of the leading mpi process (to collect data)
@@ -422,7 +446,7 @@ class Subset(object):
 
         Parameters
         ----------
-        field : `~hysop.fields.discrete.DiscreteField`
+        field : :class:`~hysop.fields.discrete.DiscreteField`
             a field to be integrated on the box
         component : int, optional
             number of the field component to be integrated
@@ -446,7 +470,7 @@ class Subset(object):
 
         Parameters
         ----------
-        field : `~hysop.fields.discrete.DiscreteField`
+        field : :class:`~hysop.fields.discrete.DiscreteField`
             a field to be integrated on the box
         component : int, optional
             number of the field component to be integrated
@@ -474,6 +498,8 @@ class Sphere(Subset):
         """
         Parameters
         ----------
+        origin : :class:`~hysop.domain.subsets.Subset`
+
         origin : list or array
             position of the center
         radius : double, optional
@@ -534,6 +560,13 @@ class HemiSphere(Sphere):
         self.LeftBox = left_box
 
     def chi(self, *args):
+        """Indicator function of the subset
+
+        Returns
+        -------
+        array of bool
+
+        """
         return np.logical_and(self._is_inside(*args) <= 0,
                               self.LeftBox(args[self.cutdir]) <= 0)
 
@@ -583,6 +616,13 @@ class Cylinder(Subset):
                            length=length, origin=origin)
 
     def chi(self, *args):
+        """Indicator function of the subset
+
+        Returns
+        -------
+        array of bool
+
+        """
         return np.logical_and(self._is_inside(*args) <= 0,
                               args[self.axis] ==
                               args[self.axis])
@@ -620,6 +660,13 @@ class HemiCylinder(Cylinder):
         self.LeftBox = left_box
 
     def chi(self, *args):
+        """Indicator function of the subset
+
+        Returns
+        -------
+        array of bool
+
+        """
         return (np.logical_and(
             np.logical_and(self._is_inside(*args) <= 0,
                            self.LeftBox(args[self.cutdir]) <= 0),
@@ -682,7 +729,7 @@ class SubBox(Subset):
         """
         Compute a local submesh on the subset, for a given topology
 
-        :param topo: `~hysop.mpi.topology.Cartesian`
+        :param topo: :class:`~hysop.mpi.topology.Cartesian`
         """
         assert isinstance(topo, Cartesian)
         # Find the indices of starting/ending points in the global_end
@@ -703,9 +750,9 @@ class SubBox(Subset):
 
         Parameters
         ----------
-        field : `~hysop.field.continuous.Field`
+        field : :class:`~hysop.field.continuous.Field`
             a field to be integrated on the box
-        topo : `~hysop.mpi.topology.Cartesian`
+        topo : :class:`~hysop.mpi.topology.Cartesian`
             set mesh/topology used for integration
         component : int, optional
             number of the field component to be integrated
@@ -732,7 +779,7 @@ class SubBox(Subset):
         Parameters
         ----------
         func: python function of space coordinates
-        topo: `~hysop.mpi.topology.Cartesian`
+        topo: :class:`~hysop.mpi.topology.Cartesian`
             set mesh/topology used for integration
         nbc : int
             number of components of the return value from func
@@ -759,7 +806,7 @@ class SubBox(Subset):
         Parameters
         ----------
         func: python function of space coordinates
-        topo: `~hysop.mpi.topology.Cartesian`
+        topo: :class:`~hysop.mpi.topology.Cartesian`
             set mesh/topology used for integration
 
         Returns
@@ -783,7 +830,7 @@ class SubBox(Subset):
 
         Parameters
         ----------
-        field : `~hysop.field.discrete.DiscreteField`
+        field : :class:`~hysop.field.discrete.DiscreteField`
             a field to be integrated on the box
         component : int, optional
             number of the field component to be integrated
diff --git a/HySoP/hysop/domain/tests/test_box.py b/HySoP/hysop/domain/tests/test_box.py
index 2fd63b584..ca231e8ce 100644
--- a/HySoP/hysop/domain/tests/test_box.py
+++ b/HySoP/hysop/domain/tests/test_box.py
@@ -20,11 +20,11 @@ def test_create_box1():
 
 
 def test_create_box2():
-    L = npw.asrealarray([1., 2.5])
+    length = npw.asrealarray([1., 2.5])
     ori = npw.asrealarray([1, 2.1])
-    dom = Box(length=L, origin=ori)
+    dom = Box(length=length, origin=ori)
     assert dom.dimension == 2
-    assert allclose(dom.length, L)
+    assert allclose(dom.length, length)
     assert allclose(dom.origin, ori)
     assert [b == PERIODIC for b in dom.boundaries]
     cond = [dom.tasks_on_proc(i) == DEFAULT_TASK_ID for i in range(main_size)]
@@ -33,11 +33,11 @@ def test_create_box2():
 
 
 def test_create_box3():
-    L = [1, 2, 4.]
-    dom = Box(length=L)
+    length = [1, 2, 4.]
+    dom = Box(length=length)
     assert dom.dimension == 3
-    assert allclose(dom.length, npw.asrealarray(L))
-    assert allclose(dom.origin, zeros_like(L))
+    assert allclose(dom.length, npw.asrealarray(length))
+    assert allclose(dom.origin, zeros_like(length))
     assert [b == PERIODIC for b in dom.boundaries]
     cond = [dom.tasks_on_proc(i) == DEFAULT_TASK_ID for i in range(main_size)]
     cond = npw.asboolarray(cond)
@@ -45,20 +45,20 @@ def test_create_box3():
 
 
 def test_create_box4():
-    L = [1, 2, 4.]
+    length = [1, 2, 4.]
     tasks = [CPU] * main_size
     if main_size > 1:
         tasks[-1] = GPU
-    dom = Box(length=L, proc_tasks=tasks)
+    dom = Box(length=length, proc_tasks=tasks)
 
     last = main_size - 1
     if main_size > 1:
         if main_rank != last:
-            assert dom.currentTask() == CPU
+            assert dom.current_task() == CPU
         else:
-            assert dom.currentTask() == GPU
+            assert dom.current_task() == GPU
     else:
-        assert dom.currentTask() == CPU
+        assert dom.current_task() == CPU
 
 
 # Test topology creation ...
@@ -96,17 +96,17 @@ def test_topo_standard():
 
 def test_topo_multi_tasks():
     dom = Box(proc_tasks=proc_tasks)
-    if dom.isOnTask(CPU):
+    if dom.is_on_task(CPU):
         topo = dom.create_topology(discretization=r3D)
-    elif dom.isOnTask(GPU):
+    elif dom.is_on_task(GPU):
         topo = dom.create_topology(discretization=r3DGh, dim=2)
     assert len(dom.topologies) == 1
     assert isinstance(topo, Cartesian)
     assert topo is dom.topologies.values()[0]
-    if dom.isOnTask(CPU):
-        assert not topo.hasGhosts()
-    elif dom.isOnTask(GPU):
-        assert topo.hasGhosts()
+    if dom.is_on_task(CPU):
+        assert not topo.has_ghosts()
+    elif dom.is_on_task(GPU):
+        assert topo.has_ghosts()
 
 
 def test_topo_plane():
@@ -125,21 +125,21 @@ def test_topo_from_mesh():
     # e.g. for fftw
     dom = Box(proc_tasks=proc_tasks)
     from hysop.f2py import fftw2py
-    if dom.isOnTask(CPU):
+    if dom.is_on_task(CPU):
         localres, global_start = fftw2py.init_fftw_solver(
             r3D.resolution, dom.length, comm=comm_s.py2f())
         print localres, global_start
         topo = dom.create_plane_topology_from_mesh(localres=localres,
                                                    global_start=global_start,
                                                    discretization=r3D)
-    elif dom.isOnTask(GPU):
+    elif dom.is_on_task(GPU):
         topo = dom.create_topology(discretization=r3DGh, dim=2)
-    if dom.isOnTask(CPU):
+    if dom.is_on_task(CPU):
         assert (topo.mesh.resolution == localres).all()
         assert (topo.mesh.start() == global_start).all()
         assert topo.dimension == 1
         assert (topo.shape == [1, 1, comm_s.Get_size()]).all()
-    elif dom.isOnTask(GPU):
+    elif dom.is_on_task(GPU):
         assert topo.size == 1
 
 
diff --git a/HySoP/hysop/domain/tests/test_control_box.py b/HySoP/hysop/domain/tests/test_control_box.py
index c4a4ada9e..19eac3b1d 100644
--- a/HySoP/hysop/domain/tests/test_control_box.py
+++ b/HySoP/hysop/domain/tests/test_control_box.py
@@ -1,5 +1,5 @@
-from hysop.domain.subsets.control_box import ControlBox
-from hysop.domain.subsets.boxes import SubBox
+from hysop.domain.control_box import ControlBox
+from hysop.domain.subsets import SubBox
 from hysop.tools.parameters import Discretization
 from hysop import Field, Box
 import numpy as np
@@ -64,7 +64,7 @@ def check_control_box(discr, xr, lr):
     return topo, cb
 
 
-def test_cb_3D():
+def test_cb_3d():
     topo, cb = check_control_box(discr3D, xdef, ldef)
     velo = Field(domain=topo.domain, is_vector=True, formula=v3d, name='velo')
     velo.discretize(topo)
@@ -84,7 +84,7 @@ def test_cb_3D():
         assert np.abs(isurf - sref) < 1e-6
 
 
-def test_cb_3D_2():
+def test_cb_3d_2():
     topo, cb = check_control_box(discr3D, xdef, ldef)
     velo = Field(domain=topo.domain, is_vector=True, formula=v3d, name='velo')
     velo.discretize(topo)
@@ -102,7 +102,7 @@ def test_cb_3D_2():
     assert np.abs(isurf - sref) < 1e-6
 
 
-def test_cb_3D_3():
+def test_cb_3d_3():
     topo, cb = check_control_box(discr3D, xdef, ldef)
     velo = Field(domain=topo.domain, is_vector=True, formula=v3d, name='velo')
     velo.discretize(topo)
@@ -120,7 +120,7 @@ def test_cb_3D_3():
     assert (np.abs(isurf - sref) < 1e-6).all()
 
 
-def test_cb_2D():
+def test_cb_2d():
     topo, cb = check_control_box(discr2D, xdef[:2], ldef[:2])
     velo = Field(domain=topo.domain, is_vector=True, formula=v2d, name='velo')
     velo.discretize(topo)
@@ -140,7 +140,7 @@ def test_cb_2D():
         assert np.abs(isurf - sref) < 1e-6
 
 
-def test_cb_2D_2():
+def test_cb_2d_2():
     topo, cb = check_control_box(discr2D, xdef[:2], ldef[:2])
     velo = Field(domain=topo.domain, is_vector=True, formula=v2d, name='velo')
     velo.discretize(topo)
@@ -158,7 +158,7 @@ def test_cb_2D_2():
     assert np.abs(isurf - sref) < 1e-6
 
 
-def test_cb_2D_3():
+def test_cb_2d_3():
     topo, cb = check_control_box(discr2D, xdef[:2], ldef[:2])
     velo = Field(domain=topo.domain, is_vector=True, formula=v2d, name='velo')
     velo.discretize(topo)
@@ -176,7 +176,7 @@ def test_cb_2D_3():
     assert (np.abs(isurf - sref) < 1e-6).all()
 
 
-def test_cb_3D_fulldomain():
+def test_cb_3d_fulldomain():
     """
     A cb defined on the whole domain.
     Integrals on upper surfaces must fail,
@@ -206,10 +206,10 @@ def test_cb_3D_fulldomain():
 
 # This may be useful to run mpi tests
 if __name__ == "__main__":
-    test_cb_3D()
-    test_cb_3D_2()
-    test_cb_3D_3()
-    test_cb_2D()
-    test_cb_2D_2()
-    test_cb_2D_3()
-    test_cb_3D_fulldomain()
+    test_cb_3d()
+    test_cb_3d_2()
+    test_cb_3d_3()
+    test_cb_2d()
+    test_cb_2d_2()
+    test_cb_2d_3()
+    test_cb_3d_fulldomain()
diff --git a/HySoP/hysop/domain/tests/test_mesh.py b/HySoP/hysop/domain/tests/test_mesh.py
index 993c6df42..7e3e40d36 100644
--- a/HySoP/hysop/domain/tests/test_mesh.py
+++ b/HySoP/hysop/domain/tests/test_mesh.py
@@ -60,22 +60,22 @@ def create_mesh(discr):
         assert mesh.local_indices(point) is False
 
 
-def test_mesh3D():
+def test_mesh3d():
     discr = Discretization([Nx + 1, Ny + 1, Nz + 1])
     create_mesh(discr)
 
 
-def test_mesh3D_ghost():
+def test_mesh3d_ghost():
     discr = Discretization([Nx + 1, Ny + 1, Nz + 1], [2, 2, 2])
     create_mesh(discr)
 
 
-def test_mesh2D():
+def test_mesh2d():
     discr = Discretization([Nx + 1, Nz + 1])
     create_mesh(discr)
 
 
-def test_mesh2D_ghost():
+def test_mesh2d_ghost():
     discr = Discretization([Nx + 1, Nz + 1], [2, 2])
     create_mesh(discr)
 
@@ -133,9 +133,9 @@ def test_convert_global():
         assert res == sl
 
 if __name__ == '__main__':
-    test_mesh3D()
-    test_mesh3D_ghost()
-    test_mesh2D()
-    test_mesh2D_ghost()
+    test_mesh3d()
+    test_mesh3d_ghost()
+    test_mesh2d()
+    test_mesh2d_ghost()
     test_convert_local()
     test_convert_global()
diff --git a/HySoP/hysop/domain/tests/test_porous.py b/HySoP/hysop/domain/tests/test_porous.py
index 682c56a7c..b813c1d7b 100644
--- a/HySoP/hysop/domain/tests/test_porous.py
+++ b/HySoP/hysop/domain/tests/test_porous.py
@@ -2,11 +2,11 @@
 
 from hysop import Field, Box, Discretization, IOParams
 from hysop.mpi.topology import Cartesian
-from hysop.domain.subsets.sphere import HemiSphere, Sphere
-from hysop.domain.subsets.cylinder import Cylinder, HemiCylinder
+from hysop.domain.subsets import HemiSphere, Sphere
+from hysop.domain.subsets import Cylinder, HemiCylinder
 import hysop.tools.numpywrappers as npw
 import numpy as np
-from hysop.domain.subsets.porous import BiPole, QuadriPole,\
+from hysop.domain.porous import BiPole, QuadriPole,\
     Ring, RingPole, Porous
 from hysop.operator.hdf_io import HDF_Reader
 
diff --git a/HySoP/hysop/domain/tests/test_regular_subset.py b/HySoP/hysop/domain/tests/test_regular_subset.py
index cfb14a948..da1b44652 100644
--- a/HySoP/hysop/domain/tests/test_regular_subset.py
+++ b/HySoP/hysop/domain/tests/test_regular_subset.py
@@ -1,4 +1,4 @@
-from hysop.domain.subsets.boxes import SubBox
+from hysop.domain.subsets import SubBox
 from hysop.tools.parameters import Discretization
 from hysop import Field, Box
 import hysop.tools.numpywrappers as npw
@@ -182,7 +182,7 @@ def test_integ_fulldom():
     assert (np.abs(i1 - vref) < 1e-6).all()
 
 
-def test_integ_fulldom_2D():
+def test_integ_fulldom_2d():
     topo, cub = check_subset(discr2D, xdom[:2], ldom[:2])
     velo = Field(domain=topo.domain, is_vector=True, formula=v2d, name='velo')
     vd = velo.discretize(topo)
@@ -228,4 +228,4 @@ if __name__ == "__main__":
     test_2d_subbox()
     test_2d_line()
     test_integ_fulldom()
-    test_integ_fulldom_2D()
+    test_integ_fulldom_2d()
diff --git a/HySoP/hysop/domain/tests/test_submesh.py b/HySoP/hysop/domain/tests/test_submesh.py
index f599b6fea..bec87e49d 100644
--- a/HySoP/hysop/domain/tests/test_submesh.py
+++ b/HySoP/hysop/domain/tests/test_submesh.py
@@ -4,7 +4,7 @@ Testing regular grids.
 """
 from hysop.domain.box import Box
 from hysop.tools.parameters import Discretization
-from hysop.domain.subsets.submesh import SubMesh
+from hysop.domain.submesh import SubMesh
 from hysop.tools.misc import utils
 import numpy as np
 
@@ -75,7 +75,7 @@ def check_coords(m1, m2):
     assert np.allclose(xend, req_end)
 
 
-def test_submesh_3D():
+def test_submesh_3d():
     """
     3D Periodic mesh
     """
@@ -83,7 +83,7 @@ def test_submesh_3D():
     check_submesh(discr)
 
 
-def test_submesh_2D():
+def test_submesh_2d():
     """
     2D Periodic mesh
     """
@@ -91,5 +91,5 @@ def test_submesh_2D():
     check_submesh(discr)
 
 if __name__ == '__main__':
-    test_submesh_3D()
-    test_submesh_2D()
+    test_submesh_3d()
+    test_submesh_2d()
diff --git a/HySoP/hysop/domain/tests/test_subset.py b/HySoP/hysop/domain/tests/test_subset.py
index 73cc589ce..0b11f5288 100644
--- a/HySoP/hysop/domain/tests/test_subset.py
+++ b/HySoP/hysop/domain/tests/test_subset.py
@@ -1,7 +1,6 @@
-from hysop.domain.subsets.sphere import Sphere, HemiSphere
-from hysop.domain.subsets.subset import Subset
-from hysop.domain.subsets.boxes import SubBox
-from hysop.domain.subsets.cylinder import Cylinder, HemiCylinder
+from hysop.domain.subsets import Sphere, HemiSphere
+from hysop.domain.subsets import Subset, SubBox
+from hysop.domain.subsets import Cylinder, HemiCylinder
 from hysop.operator.hdf_io import HDF_Reader
 from hysop.tools.parameters import Discretization, IOParams
 from hysop import Field, Box
@@ -55,8 +54,8 @@ def check_subset(discr, fileref, class_name):
     scal = Field(domain=topo.domain, is_vector=False)
     sd = scal.discretize(topo)
     sd[0][subs.ind[topo][0]] = 2.
-    iCompute = topo.mesh.iCompute
-    return np.allclose(sd[0][iCompute], vd[0][iCompute])
+    icompute = topo.mesh.iCompute
+    return np.allclose(sd[0][icompute], vd[0][icompute])
 
 
 def test_sphere_3d():
@@ -117,8 +116,8 @@ def init_obst_list(discr, fileref):
     sd = Field(domain=topo.domain, is_vector=False).discretize(topo)
     indices = Subset.union(obs_list, topo)
     sd[0][indices] = 2.
-    iCompute = topo.mesh.iCompute
-    return np.allclose(sd[0][iCompute], vd[0][iCompute])
+    icompute = topo.mesh.iCompute
+    return np.allclose(sd[0][icompute], vd[0][icompute])
 
 
 def test_union_3d():
@@ -142,8 +141,8 @@ def init_subtract(discr, fileref):
     sd = Field(domain=topo.domain, is_vector=False).discretize(topo)
     indices = Subset.subtract(box, s1, topo)
     sd[0][indices] = 2.
-    iCompute = topo.mesh.iCompute
-    return np.allclose(sd[0][iCompute], vd[0][iCompute])
+    icompute = topo.mesh.iCompute
+    return np.allclose(sd[0][icompute], vd[0][icompute])
 
 
 def test_subtract_3d():
diff --git a/HySoP/hysop/mpi/__init__.py b/HySoP/hysop/mpi/__init__.py
index f990cd8c7..94aa37bd9 100644
--- a/HySoP/hysop/mpi/__init__.py
+++ b/HySoP/hysop/mpi/__init__.py
@@ -1,33 +1,36 @@
-"""
-@package hysop.mpi
-hysop interface to the mpi implementation.
+"""Hysop interface to the mpi implementation.
 
 It contains :
-- mpi basic variables (main communicator, rank, size ...)
-- topology.Cartesian : mpi process distribution + local mesh
-- mesh.SubMesh : local mesh
+
+* mpi basic variables (main communicator, rank, size ...)
+* :class:`hysop.mpi.topology.Cartesian` : mpi process distribution + local mesh
 
 
 This package is used to hide the underlying mpi interface
 in order to make any change of this interface, if required, easiest.
+
 At the time we use mpi4py : http://mpi4py.scipy.org
 
 
 """
 
-## Everything concerning the chosen mpi implementation is hidden in main_var
+# Everything concerning the chosen mpi implementation is hidden in main_var
 # Why? --> to avoid that things like mpi4py. ... spread everywhere in the
 # soft so to ease a change of this implementation (if needed).
 from hysop.mpi import main_var
-## A list of mpi variables that can be "seen" by user
-##  MPI underlying implementation
+
 MPI = main_var.MPI
+"""MPI underlying implementation
+"""
 
-## Main communicator (copy of comm_world)
 main_comm = main_var.main_comm
+"""Main communicator (copy of comm_world)
+"""
 
-## Rank of the current process in the main communicator
 main_rank = main_var.main_rank
+"""Rank of the current process in the main communicator
+"""
 
-## Size of the main communicator
 main_size = main_var.main_size
+"""Size of the main communicator
+"""
diff --git a/HySoP/hysop/mpi/bridge.py b/HySoP/hysop/mpi/bridge.py
index 33957e1fe..b9765d94d 100644
--- a/HySoP/hysop/mpi/bridge.py
+++ b/HySoP/hysop/mpi/bridge.py
@@ -3,7 +3,7 @@
 Tools to compute the intersection between
 two HySoP topologies.
 """
-from hysop.mpi.topology import Cartesian, topotools
+from hysop.mpi.topology import Cartesian, TopoTools
 from hysop.tools.misc import utils
 
 
@@ -51,7 +51,7 @@ class Bridge(object):
 
         msg = 'Bridge error, both source/target topologies'
         msg += ' must have the same parent communicator.'
-        assert topotools.compare_comm(self._source.parent(),
+        assert TopoTools.compare_comm(self._source.parent(),
                                       self._target.parent()), msg
         # The assert above ensure that source and target hold the same
         # group of process in the same communication context.
@@ -63,10 +63,10 @@ class Bridge(object):
         # are on both source and target mesh.
 
         # Get global indices of the mesh on source for all mpi processes.
-        indices_source = topotools.gatherGlobalIndices(self._source)
+        indices_source = TopoTools.gather_global_indices(self._source)
 
         # Get global indices of the mesh on target for all mpi processes.
-        indices_target = topotools.gatherGlobalIndices(self._target)
+        indices_target = TopoTools.gather_global_indices(self._target)
         # From now on, we have indices_source[rk] = global indices (slice)
         # of grid points of the source on process number rk in parent.
         # And the same thing for indices_target.
@@ -128,8 +128,8 @@ class Bridge(object):
         """
         if self._recv_types is None:
             data_shape = self._target.mesh.resolution
-            self._recv_types = topotools.createSubArray(self._recv_indices,
-                                                        data_shape)
+            self._recv_types = TopoTools.create_subarray(self._recv_indices,
+                                                         data_shape)
         return self._recv_types
 
     def sendTypes(self):
@@ -141,6 +141,6 @@ class Bridge(object):
         """
         if self._send_types is None:
             data_shape = self._source.mesh.resolution
-            self._send_types = topotools.createSubArray(self._send_indices,
-                                                        data_shape)
+            self._send_types = TopoTools.create_subarray(self._send_indices,
+                                                         data_shape)
         return self._send_types
diff --git a/HySoP/hysop/mpi/bridge_inter.py b/HySoP/hysop/mpi/bridge_inter.py
index 6516bd7ab..b800d6988 100644
--- a/HySoP/hysop/mpi/bridge_inter.py
+++ b/HySoP/hysop/mpi/bridge_inter.py
@@ -3,7 +3,7 @@
 Tools to compute the intersection between
 two HySoP topologies.
 """
-from hysop.mpi.topology import Cartesian, topotools
+from hysop.mpi.topology import Cartesian, TopoTools
 from hysop.tools.misc import utils
 from hysop.mpi import MPI
 import hysop.tools.numpywrappers as npw
@@ -40,7 +40,7 @@ class BridgeInter(object):
         assert isinstance(parent, MPI.Intracomm)
         self._topology = current
         # current task id
-        current_task = self._topology.domain.currentTask()
+        current_task = self._topology.domain.current_task()
 
         # True if current process is in the 'from' group'
         task_is_source = current_task == self.source_id
@@ -87,7 +87,7 @@ class BridgeInter(object):
     def _swap_indices(self):
         # First, we need to collect the global indices, as arrays
         # since we need to broadcast them later.
-        current_indices = topotools.gatherGlobalIndices(self._topology,
+        current_indices = TopoTools.gather_global_indices(self._topology,
                                                         toslice=False)
         # To allocate remote_indices array, we need the size of
         # the remote communicator.
@@ -96,7 +96,7 @@ class BridgeInter(object):
         remote_indices = npw.dim_zeros((dimension * 2, remote_size))
         # Then they are broadcasted to the remote communicator
         rank = self._topology.rank
-        current_task = self._topology.domain.currentTask()
+        current_task = self._topology.domain.current_task()
         if current_task is self.source_id:
             # Local 0 broadcast current_indices to remote comm
             if rank == 0:
@@ -130,6 +130,6 @@ class BridgeInter(object):
         """
         if self._transfer_types is None:
             data_shape = self._topology.mesh.resolution
-            self._transfer_types = topotools.createSubArray(
+            self._transfer_types = TopoTools.create_subarray(
                 self._tranfer_indices, data_shape)
         return self._transfer_types
diff --git a/HySoP/hysop/mpi/bridge_overlap.py b/HySoP/hysop/mpi/bridge_overlap.py
index 64585e68b..4dfa0b904 100644
--- a/HySoP/hysop/mpi/bridge_overlap.py
+++ b/HySoP/hysop/mpi/bridge_overlap.py
@@ -4,7 +4,7 @@ Tools to compute the intersection between
 two HySoP topologies defined on the same comm but for a
 different number of processes.
 """
-from hysop.mpi.topology import Cartesian, topotools
+from hysop.mpi.topology import Cartesian, TopoTools
 from hysop.tools.misc import utils
 from hysop.mpi.bridge import Bridge
 
@@ -48,21 +48,21 @@ class BridgeOverlap(Bridge):
             msg = 'BridgeOverlap error: mpi group from '
             msg += 'source and topo must overlap. If not '
             msg += 'BridgeInter will probably suits better.'
-            assert topotools.intersection_size(self._source.comm,
+            assert TopoTools.intersection_size(self._source.comm,
                                                self._target.comm) > 0, msg
             assert self._source.domain == self._target.domain
 
         if self._source is not None:
             assert isinstance(self._source, Cartesian)
             s_size = self._source.size
-            assert topotools.intersection_size(self._source.comm,
+            assert TopoTools.intersection_size(self._source.comm,
                                                self.comm) == s_size
             self.domain = self._source.domain
 
         if self._target is not None:
             assert isinstance(self._target, Cartesian)
             t_size = self._target.size
-            assert topotools.intersection_size(self._target.comm,
+            assert TopoTools.intersection_size(self._target.comm,
                                                self.comm) == t_size
             self.domain = self._target.domain
 
@@ -71,12 +71,12 @@ class BridgeOverlap(Bridge):
     def _build_send_recv_dict(self):
         # Compute local intersections : i.e. find which grid points
         # are on both source and target mesh.
-        indices_source = topotools.gatherGlobalIndicesOverlap(self._source,
-                                                              self.comm,
-                                                              self.domain)
-        indices_target = topotools.gatherGlobalIndicesOverlap(self._target,
-                                                              self.comm,
-                                                              self.domain)
+        indices_source = TopoTools.gather_global_indices_overlap(self._source,
+                                                                 self.comm,
+                                                                 self.domain)
+        indices_target = TopoTools.gather_global_indices_overlap(self._target,
+                                                                 self.comm,
+                                                                 self.domain)
 
         # From now on, we have indices_source[rk] = global indices (slice)
         # of grid points of the source on process number rk in parent.
diff --git a/HySoP/hysop/mpi/tests/test_bridge.py b/HySoP/hysop/mpi/tests/test_bridge.py
index fa02f3b69..0621466c2 100644
--- a/HySoP/hysop/mpi/tests/test_bridge.py
+++ b/HySoP/hysop/mpi/tests/test_bridge.py
@@ -88,9 +88,9 @@ def test_bridgeInter2D():
     # The real tests are done in test_redistribute.py
 
     # Bridge from topo2 on GPU to topo1 on CPU:
-    if dom.isOnTask(GPU):
+    if dom.is_on_task(GPU):
         bridge2 = BridgeInter(topo2, main_comm, source_id=GPU, target_id=CPU)
-    elif dom.isOnTask(CPU):
+    elif dom.is_on_task(CPU):
         bridge2 = BridgeInter(topo1, main_comm, source_id=GPU, target_id=CPU)
     assert bridge2 is not None
 
@@ -114,9 +114,9 @@ def test_bridgeInter3D():
     # so we just create a bridge.
     # The real tests are done in test_redistribute.py
     # Bridge from topo2 on GPU to topo1 on CPU:
-    if dom.isOnTask(GPU):
+    if dom.is_on_task(GPU):
         bridge2 = BridgeInter(topo2, main_comm, source_id=GPU, target_id=CPU)
-    elif dom.isOnTask(CPU):
+    elif dom.is_on_task(CPU):
         bridge2 = BridgeInter(topo1, main_comm, source_id=GPU, target_id=CPU)
     assert bridge2 is not None
 
diff --git a/HySoP/hysop/mpi/tests/test_topology.py b/HySoP/hysop/mpi/tests/test_topology.py
index 926eb3af6..23e6fcb00 100644
--- a/HySoP/hysop/mpi/tests/test_topology.py
+++ b/HySoP/hysop/mpi/tests/test_topology.py
@@ -62,9 +62,9 @@ def test_create_default_topology2_2d():
     topo = dom.create_topology(r2D)
     assert topo.domain == dom
     assert topo.size == dom2D.comm_task.Get_size()
-    if dom.isOnTask(CPU):
+    if dom.is_on_task(CPU):
         assert topo.task_id() == CPU
-    if dom.isOnTask(GPU):
+    if dom.is_on_task(GPU):
         assert topo.task_id() == GPU
 
 
@@ -151,9 +151,9 @@ def test_create_default_topology2():
     topo = dom.create_topology(r3D)
     assert topo.domain == dom
     assert topo.size == dom3D.comm_task.Get_size()
-    if dom.isOnTask(CPU):
+    if dom.is_on_task(CPU):
         assert topo.task_id() == CPU
-    if dom.isOnTask(GPU):
+    if dom.is_on_task(GPU):
         assert topo.task_id() == GPU
 
 
diff --git a/HySoP/hysop/mpi/topology.py b/HySoP/hysop/mpi/topology.py
index b11214c13..41dd5d78a 100644
--- a/HySoP/hysop/mpi/topology.py
+++ b/HySoP/hysop/mpi/topology.py
@@ -1,8 +1,9 @@
-"""
-@file topology.py
-Tools and definitions for HySoP topologies
+"""Tools and definitions for HySoP topologies
 (MPI Processes layout + space discretization)
 
+* :class:`~hysop.mpi.topology.Cartesian`
+* :class:`~hysop.mpi.topology.TopoTools`
+
 """
 
 from hysop.constants import debug, ORDER, PERIODIC
@@ -51,34 +52,38 @@ class Cartesian(object):
     def __init__(self, domain, discretization, dim=None, mpi_params=None,
                  isperiodic=None, cutdir=None, shape=None, mesh=None):
         """
-        Required parameters : domain, discretization
-        Others are optional. You must choose one and only one param
-        among dim, cutdir and shape.
+
+        Parameters
+        -----------
+        domain : :class:`~hysop.domain.domain.Domain`
+           the geometry on which the topology is defined.
+        discretization : :class:`~hysop.tools.parameters.Discretization`
+            description of the global space discretization
+            (resolution and ghosts).
+        dim : int, optional
+            mpi topology dimension.
+        mpi_params : :class:`~hysop.tools.parameters.MPIParams`, optional
+            mpi setup (comm, task ...).
+            If None, comm = main_comm, task = DEFAULT_TASK_ID.
+        isperiodic : list or array of bool, optional
+            mpi grid periodicity
+        cutdir : list or array of bool
+            set which directions must (may) be distributed,
+            cutdir[dir] = True to distribute data along dir.
+        shape : list or array of int
+            mpi grid layout
+        mesh : :class:`~hysop.domain.mesh.Mesh`, optional
+            a predifined mesh (it includes local and global grids.)
+
+        Notes:
+        ------
+        Almost all parameters above are optional.
+        Only one must be chosen among dim, cutdir and shape.
+        See :ref:`topologies` in the Hysop User Guide for details.
 
         See hysop.mpi.topology.Cartesian.plane_precomputed
         details to build a plane topology from a given local discretization
         (e.g. from fftw or scales precomputation).
-        @param domain : the geometry; it must be a box.
-        @param discretization : a hysop.tools.parameters.Discretization
-        with:
-        - resolution = Number of points in the domain
-        in each direction. We assume that first point corresponds
-        to origin, and last point to boundary point,
-        whatever the boundary type is.
-        That is x[0] = domain.origin and
-        x[Discretization.resolution-1] = domain.Lengths_x.
-        - ghosts =  number of points in the ghost layer
-        @param dim : dimension of the topology
-        @param mpi_params : a hysop.tools.parameters.MPIParams, with:
-        - comm : MPI communicator used to create this topology
-         (default = main_comm)
-        - task_id : id of the task that owns this topology.
-        @param isperiodic : periodicity of the topology (in each direction)
-        @param cutdir : array of bool, set cutdir[dir] = True if you want
-        to distribute data through direction dir.
-        @param shape : topology resolution
-        (i.e process layout in each direction).
-        @param mesh : a predefined hysop.mpi.mesh.SubMesh
         """
         # ===== 1 - Required parameters : domain and mpi (comm, task) ====
         # An id for the topology
@@ -89,10 +94,10 @@ class Cartesian(object):
         # - MPI topo params :
         if mpi_params is None:
             mpi_params = MPIParams(comm=domain.comm_task,
-                                    task_id=domain.currentTask())
+                                   task_id=domain.current_task())
 
-        ## mpi parameters : Communicator used to build the topology
-        ## and task_id
+        # mpi parameters : Communicator used to build the topology
+        # and task_id
         self._mpis = mpi_params
         # Each topo must be associated to one and only one topology
         assert self._mpis.task_id is not None
@@ -105,50 +110,50 @@ class Cartesian(object):
         # (c) - from dimension of the topology ==> let MPI
         # choose the 'best' layout.
 
-        ## Layout of the grid of mpi processes.
+        # Layout of the grid of mpi processes.
         self.shape = None
-        ## Dim of the cartesian grid for MPI processes.
+        # Dim of the cartesian grid for MPI processes.
         self.dimension = None
         # MPI grid periodicity
         self._isperiodic = None
         # directions where data are distributed
         self.cutdir = None
-        ## mpi communicator (cartesian topo)
+        # mpi communicator (cartesian topo)
         self.comm = None
 
         self._build_mpi_topo(shape, cutdir, dim, isperiodic)
 
         # ===== 3 - Get features of the mpi processes grid =====
-        ## Size of the topology (i.e. total number of mpi processes)
+        # Size of the topology (i.e. total number of mpi processes)
         self.size = self.comm.Get_size()
-        ## Rank of the current process in the topology
+        # Rank of the current process in the topology
         self.rank = self.comm.Get_rank()
-        ## Coordinates of the current process
+        # Coordinates of the current process
         reduced_coords = npw.asdimarray(self.comm.Get_coords(self.rank))
 
-        ## Coordinates of the current process
-        ## What is different between proc_coords and reduced_coords?
-        ## --> proc_coords has values even for directions that
-        ## are not distributed. If cutdir = [False, False, True]
-        ## then reduced_coords = [ nx ] and proc_coords = [0, 0, nx]
+        # Coordinates of the current process
+        # What is different between proc_coords and reduced_coords?
+        # --> proc_coords has values even for directions that
+        # are not distributed. If cutdir = [False, False, True]
+        # then reduced_coords = [ nx ] and proc_coords = [0, 0, nx]
         self.proc_coords = npw.dim_zeros(self.domain.dimension)
         self.proc_coords[self.cutdir] = reduced_coords
-        ## Neighbours : self.neighbours[0,i] (resp. [1,i])
-        ## previous (resp. next) neighbour in direction i
-        ## (warning : direction in the grid of process).
+        # Neighbours : self.neighbours[0,i] (resp. [1,i])
+        # previous (resp. next) neighbour in direction i
+        # (warning : direction in the grid of process).
         self.neighbours = npw.dim_zeros((2, self.dimension))
         for direction in range(self.dimension):
             self.neighbours[:, direction] = self.comm.Shift(direction, 1)
 
         # ===== 4 - Computation of the local meshes =====
 
-        ## Local mesh on the current mpi process.
+        # Local mesh on the current mpi process.
         # mesh from external function (e.g. fftw, scales ...)
         self.mesh = mesh
         # If mesh is None, we must compute local resolution and other
         # parameters, using discretization.
         if mesh is None:
-            self._computeMesh(discretization)
+            self._compute_mesh(discretization)
 
         # ===== 5 - Final setup ====
 
@@ -168,11 +173,11 @@ class Cartesian(object):
             self.mesh = topo.mesh
             self.comm = topo.comm
 
-#        self.is_registered = False
- 
-    def _build_mpi_topo(self, shape, cutdir, dim, isperiodic):
-        """
-        Build mpi topology
+    def _build_mpi_topo(self, shape=None, cutdir=None,
+                        dim=None, isperiodic=None):
+        """ default builder
+        See :ref:`topologies` for details.
+
         """
         # number of process in parent comm
         origin_size = self._mpis.comm.Get_size()
@@ -197,7 +202,7 @@ class Cartesian(object):
             self.dimension = self.cutdir[self.cutdir].size
             shape = npw.asdimarray(MPI.Compute_dims(origin_size,
                                                     self.dimension))
-            self.optimizeshape(shape)
+            self._optimizeshape(shape)
             self.shape = npw.dim_ones(self.domain.dimension)
             self.shape[self.cutdir] = shape
 
@@ -227,10 +232,10 @@ class Cartesian(object):
             # For C-like (row major) arrays, first dir is the
             # first to be distributed, and so on.
             self.shape[:self.dimension] = shape
-            self.optimizeshape(self.shape)
+            self._optimizeshape(self.shape)
             self.cutdir = self.shape != 1
 
-        ## MPI processes grid periodicity. Default is true.
+        # MPI processes grid periodicity. Default is true.
         if isperiodic is None:
             self._isperiodic = npw.ones((self.domain.dimension),
                                         dtype=npw.bool)
@@ -257,9 +262,8 @@ class Cartesian(object):
                                         reorder=True)
 
     @staticmethod
-    def optimizeshape(shape):
-        """
-        Reorder 'shape' according to the chosen
+    def _optimizeshape(shape):
+        """Reorder 'shape' according to the chosen
         data layout to optimize data distribution.
         """
         shape.sort()
@@ -267,34 +271,36 @@ class Cartesian(object):
             shape[:] = shape[::-1]
 
     def parent(self):
-        """
-        returns the communicator used to build this topology
+        """returns the communicator used to build this topology
         """
         return self._mpis.comm
 
     def ghosts(self):
-        """
-        Get ghost layer width.
+        """returns ghost layer width.
         """
         return self.mesh.discretization.ghosts
 
     def task_id(self):
-        """
-        @return id of the task that owns this topology
+        """returns id of the task that owns this topology
         """
         return self._mpis.task_id
 
     @classmethod
     def plane_precomputed(cls, localres, global_start, cdir=None, **kwds):
-        """
-        Define a 'plane' (1D) topology for a given mesh resolution.
+        """Defines a 'plane' (1D) topology for a given mesh resolution.
+
         This function is to be used when topo/discretization features
         come from an external routine (e.g. scales or fftw)
-        @param localres : local mesh resolution
-        @param global_start : global indices of the lowest point
-        of the local mesh
-        @param cdir : direction of cutting (i.e. normal to mpi planes)
-        default = last if fortran order, first if C order.
+
+        Parameters
+        ----------
+        localres : list or array of int
+            local mesh resolution
+        global_start : list or array of int
+            indices in the global mesh of the lowest point of the local mesh.
+        cdir : int, optional
+            direction where data must be distributed in priority.
+            Default = last if fortran order, first if C order.
         """
         msg = 'parameter is not required for plane_precomputed'
         msg += ' topology construction.'
@@ -320,7 +326,7 @@ class Cartesian(object):
 
         return cls(mesh=mesh, cutdir=cutdir, **kwds)
 
-    def _computeMesh(self, discretization):
+    def _compute_mesh(self, discretization):
         assert isinstance(discretization, Discretization)
         assert discretization.resolution.size == self.domain.dimension
         assert self.domain.dimension == discretization.resolution.size, \
@@ -334,28 +340,28 @@ class Cartesian(object):
         is_periodic = len(np.where(self.domain.boundaries == PERIODIC)[0])\
             == self.domain.dimension
         if is_periodic:
-            resolCalc = discretization.resolution - 1
+            computational_grid_resolution = discretization.resolution - 1
         else:
             raise AttributeError('Unknwon boundary conditions.')
 
-        pts_noghost[:] = resolCalc // self.shape
+        pts_noghost[:] = computational_grid_resolution // self.shape
 
         # If any, remaining points are
         # added on the mesh of the last process.
-        remainingPts = npw.dim_zeros(self.domain.dimension)
-        remainingPts[:] = resolCalc % self.shape
+        remaining_points = npw.dim_zeros(self.domain.dimension)
+        remaining_points[:] = computational_grid_resolution % self.shape
 
         # Total number of points (size of arrays to be allocated)
         nbpoints = pts_noghost.copy()
         for i in range(self.domain.dimension):
             if self.proc_coords[i] == self.shape[i] - 1:
-                nbpoints[i] += remainingPts[i]
+                nbpoints[i] += remaining_points[i]
 
-        local_resolution = resolCalc.copy()
+        local_resolution = computational_grid_resolution.copy()
         local_resolution[:] = nbpoints[:]
         local_resolution[:] += 2 * discretization.ghosts[:]
 
-        ## Global indices for the local mesh points
+        # Global indices for the local mesh points
         global_start = npw.dim_zeros((self.domain.dimension))
         global_start[:] = self.proc_coords[:] * pts_noghost[:]
 
@@ -363,12 +369,9 @@ class Cartesian(object):
                          local_resolution, global_start)
 
     def __eq__(self, other):
-        """
-        Operator for comparison. Based on:
-        @li mesh
-        @li shape
-        @li domain
-        @param other : Topology to compare with.
+        """Comparison of two topologies.
+
+        Two topos are equal if they have the same mesh, shape and domain.
         """
         if self.__class__ != other.__class__:
             return False
@@ -377,11 +380,10 @@ class Cartesian(object):
             self.domain == other.domain
 
     def __ne__(self, other):
-        """
-        Not equal operator.
+        """Not equal operator.
+
         Seems to be required in addition to __eq__ to
         avoid 'corner-case' behaviors.
-        @param other : Topology to compare with.
         """
         result = self.__eq__(other)
         if result is NotImplemented:
@@ -389,7 +391,6 @@ class Cartesian(object):
         return not result
 
     def __str__(self):
-        """ Topology info display """
         s = '======== Topology id : ' + str(self.__id) + ' ========\n'
         s += ' - on task : ' + str(self.task_id()) + '\n'
         s += ' - shape :' + str(self.shape) + '\n'
@@ -402,7 +403,7 @@ class Cartesian(object):
         s += '\n=================================\n'
         return s
 
-    def hasGhosts(self):
+    def has_ghosts(self):
         """
         True if ghost layer length is not zero.
         """
@@ -415,20 +416,21 @@ class Cartesian(object):
         """
         return self.__id
 
-    def isConsistentWith(self, topo):
-        same_parent = self.parent() == topo.parent()
+    def is_consistent_with(self, target):
+        """True if target and current object are equal and
+        have the same parent. Equal means same mesh, same shape and
+        same domain.
+        """
+        same_parent = self.parent() == target.parent()
         # Note FP. Is it really required to have the
         # same parent? Inclusion of all proc may be enough?
-        return npw.equal(self.shape, topo.shape).all() and same_parent
+        return npw.equal(self.shape, target.shape).all() and same_parent
 
-    def canCommunicateWith(self, target):
-        """
-        return True if current topo is complient with topo.
-        (See below for what 'complient' implies)
-        @param target : the targeted topology
+    def can_communicate_with(self, target):
+        """True if current topo is complient with target.
 
-        Complient if :
-        - all processes in current are in topo
+        Complient means :
+        - all processes in current are in target
         - both topologies belong to the same mpi task
         """
         if self == target:
@@ -438,44 +440,51 @@ class Cartesian(object):
         msg += ' InterBridge.'
         assert self.task_id() == target.task_id(), msg
 
-        ## Parent communicator
-        ## Todo : define some proper conditions for compatibility
-        ## between topo_from, topo_to and parent:
-        ## - same size
-        ## - same domain
-        ## - common processus ...
-        ## At the time we check that both topo have
-        ## the same comm_origin.
-        return self.isConsistentWith(target)
+        # Parent communicator
+        # Todo : define some proper conditions for compatibility
+        # between topo_from, topo_to and parent:
+        # - same size
+        # - same domain
+        # - common processus ...
+        # At the time we check that both topo have
+        # the same comm_origin.
+        return self.is_consistent_with(target)
 
     @staticmethod
     def reset_counter():
         Cartesian.__ids = count(0)
 
 
-class topotools(object):
+class TopoTools(object):
 
     @staticmethod
-    def gatherGlobalIndices(topo, toslice=True, root=None, comm=None):
-        """
-        Collect global indices of local meshes on each process of topo
-        @param topo : a hysop.mpi.topology.Cartesian
-        @param toslice : true  (default) if you want a dict of slice
-        as return value, false if you need a numpy array.
-        @param root : rank (in topo.parent()) of the gathering process.
-        If root is None (default) indices are gathered
-        on all processes of topo.
-        @param comm : communicator used for global communications.
-        Default = topo.parent().
-        @return : either :
-        - a dictionnary which maps rank number with
+    def gather_global_indices(topo, toslice=True, root=None, comm=None):
+        """Collect global indices of local meshes on each process of topo
+
+        Parameters
+        ----------
+        topo : :class:`~ hysop.mpi.topology.Cartesian`
+            topology on which indices are collected.
+        toslice : boolean, optional
+            true to return the result a dict of slices, else
+            return a numpy array. See notes below.
+        root : int, optional
+            rank of the root mpi process. If None, reduce operation
+            is done on all processes.
+        comm : mpi communicator, optional
+            Communicator used to reduce indices. Default = topo.parent
+
+        Returns
+        -------
+        either :
+        * a dictionnary which maps rank number with
         a list of slices such that res[rank][i] = a slice
         defining the indices of the points of the local mesh,
         in direction i, in global notation.
-        - a numpy array, each column corresponds to a rank number,
+        * or a numpy array where each column corresponds to a rank number,
         with column = [start_x, end_x, start_y, end_y ...]
+        Ranks number are the processes numbers in comm.
 
-        Ranks number are the processes numbers in topo.parent().
         """
         if comm is None:
             comm = topo.parent()
@@ -502,11 +511,11 @@ class topotools(object):
             return iglob
 
     @staticmethod
-    def gatherGlobalIndicesOverlap(topo=None, comm=None, dom=None,
-                                   toslice=True, root=None):
-        """
-        This functions does the same thing as gatherGlobalIndices but
+    def gather_global_indices_overlap(topo=None, comm=None, dom=None,
+                                      toslice=True, root=None):
+        """This functions does the same thing as gather_global_indices but
         may also work when topo is None.
+
         The function is usefull if you need to collect global indices
         on a topo define only on a subset of comm,
         when for the procs not in this subset, topo will be
@@ -516,9 +525,36 @@ class topotools(object):
         between the two groups of processes of the topologies.
 
         In that case, a call to
-        gatherGlobalIndices(topo, comm, dom)
+        gather_global_indices(topo, comm, dom)
         will work on all processes belonging to comm, topo being None or not.
         The values corresponding to ranks not in topo will be empty slices.
+
+        Parameters
+        ----------
+        topo : :class:`~ hysop.mpi.topology.Cartesian`, optional
+            topology on which indices are collected.
+        toslice : boolean, optional
+            true to return the result a dict of slices, else
+            return a numpy array. See notes below.
+        root : int, optional
+            rank of the root mpi process. If None, reduce operation
+            is done on all processes.
+        comm : mpi communicator, optional
+            Communicator used to reduce indices. Default = topo.parent
+        dom : :class:`~hysop.domain.domain.Domain`
+            current domain.
+
+        Returns
+        -------
+        either :
+        * a dictionnary which maps rank number with
+        a list of slices such that res[rank][i] = a slice
+        defining the indices of the points of the local mesh,
+        in direction i, in global notation.
+        * or a numpy array where each column corresponds to a rank number,
+        with column = [start_x, end_x, start_y, end_y ...]
+        Ranks number are the processes numbers in comm.
+
         """
         if topo is None:
             assert comm is not None and dom is not None
@@ -538,12 +574,12 @@ class topotools(object):
                 return iglob
 
         else:
-            return topotools.gatherGlobalIndices(topo, toslice, root, comm)
+            return TopoTools.gather_global_indices(topo, toslice, root, comm)
 
     @staticmethod
     def is_parent(child, parent):
         """
-        Return true if all mpi processes of child belongs to parent
+        Return true if all mpi processes of child belong to parent
         """
         # Get the list of processes
         assert child is not None
@@ -556,6 +592,8 @@ class topotools(object):
 
     @staticmethod
     def intersection_size(comm_1, comm_2):
+        """Number of processess common to comm_1 and comm_2
+        """
         if comm_1 == MPI.COMM_NULL or comm_2 == MPI.COMM_NULL:
             return None
         group_1 = comm_1.Get_group()
@@ -565,12 +603,11 @@ class topotools(object):
 
     @staticmethod
     def compare_comm(comm_1, comm_2):
-        """
-        Compare two mpi communicators.
-        Return true if the two communicators are handles for the same
+        """Compare two mpi communicators.
+
+        Returns true if the two communicators are handles for the same
         group of proc and for the same communication context.
-        @param comm_1 : a mpi communicator
-        @param comm_2 : a mpi communicator
+
         Warning : if comm_1 or comm_2 is invalid, the
         function will fail.
         """
@@ -582,12 +619,11 @@ class topotools(object):
 
     @staticmethod
     def compare_groups(comm_1, comm_2):
-        """
-        Compare two mpi communicators.
-        Return true if each comm handles the
+        """Compare the groups of two mpi communicators.
+
+        Returns true if each comm handles the
         same group of mpi processes.
-        @param comm_1 : a mpi communicator
-        @param comm_2 : a mpi communicator
+
         Warning : if comm_1 or comm_2 is invalid, the
         function will fail.
         """
@@ -599,11 +635,13 @@ class topotools(object):
 
     @staticmethod
     def convert_ranks(source, target):
-        """
-        find the values of ranks in target from ranks in source.
-        @param source : a mpi communicator
-        @param target : a mpi communicator
-        @return a list 'ranks' such that ranks[i] = rank in target
+        """Find the values of ranks in target from ranks in source.
+
+        Parameters
+        ----------
+        source, target : mpi communicators
+
+        Returns a list 'ranks' such that ranks[i] = rank in target
         of process of rank i in source.
         """
         assert source != MPI.COMM_NULL and target != MPI.COMM_NULL
@@ -615,15 +653,18 @@ class topotools(object):
         return {r_source[i]: res[i] for i in xrange(size_source)}
 
     @staticmethod
-    def createSubArray(sl_dict, data_shape):
-        """
-        Create a MPI subarray mask to be used in send/recv operations
+    def create_subarray(sl_dict, data_shape):
+        """Create a MPI subarray mask to be used in send/recv operations
         between some topologies.
-        @param[in] sl_dict : dictionnary which contains mesh indices
-        of the subarray for each rank,
-        such that sl_dict[rk] = (slice(...), slice(...), ...)
-        @param[in] data_shape : shape (numpy-like) of the original array
-        @return : dictionnary of MPI derived types.
+
+        Parameters
+        ----------
+        sl_dict : dictionnary
+            indices of the subarray for each rank,
+            such that sl_dict[rk] = (slice(...), slice(...), ...)
+        data_shape : shape (numpy-like) of the original array
+
+        :Returns : dictionnary of MPI derived types.
         Keys = ranks in parent communicator.
         """
         from hysop.constants import HYSOP_MPI_REAL, ORDERMPI
diff --git a/HySoP/hysop/operator/absorption_BC.py b/HySoP/hysop/operator/absorption_BC.py
index e6ed682ac..303ac78ae 100755
--- a/HySoP/hysop/operator/absorption_BC.py
+++ b/HySoP/hysop/operator/absorption_BC.py
@@ -1,17 +1,14 @@
 # -*- coding: utf-8 -*-
-"""
-@file operator/absorption_BC.py
-
-Operator to kill the vorticity at the outlet boundary 
-(i.e. removal of the periodic BC in the flow direction 
-by vorticity absorption in order to set the far field 
+"""Operator to kill the vorticity at the outlet boundary
+(i.e. removal of the periodic BC in the flow direction
+by vorticity absorption in order to set the far field
 velocity to u_inf at the inlet)
 
 """
 from hysop.constants import debug
 from hysop.operator.discrete.absorption_BC import AbsorptionBC_D
 from hysop.operator.computational import Computational
-from hysop.domain.subsets.control_box import ControlBox
+from hysop.domain.control_box import ControlBox
 from hysop.operator.continuous import opsetup
 
 
@@ -25,7 +22,7 @@ class AbsorptionBC(Computational):
     """
 
     @debug
-    def __init__(self, velocity, vorticity, req_flowrate, 
+    def __init__(self, velocity, vorticity, req_flowrate,
                  x_coords_absorp, **kwds):
         """
         @param[in] velocity field
diff --git a/HySoP/hysop/operator/adapt_timestep.py b/HySoP/hysop/operator/adapt_timestep.py
index 9f21d3ff7..0079aa1eb 100755
--- a/HySoP/hysop/operator/adapt_timestep.py
+++ b/HySoP/hysop/operator/adapt_timestep.py
@@ -75,7 +75,7 @@ class AdaptTimeStep(Computational):
         Create intercommunicators, if required (i.e. if there are several
         tasks defined in the domain).
         """
-        task_is_source = self._mpis.task_id == self.domain.currentTask()
+        task_is_source = self._mpis.task_id == self.domain.current_task()
         tasks_list = self.domain.tasks_list()
         others = (v for v in tasks_list if v != self._mpis.task_id)
         if task_is_source:
@@ -127,7 +127,7 @@ class AdaptTimeStep(Computational):
         self._is_uptodate = True
 
     def wait(self):
-        task_is_source = self._mpis.task_id == self.domain.currentTask()
+        task_is_source = self._mpis.task_id == self.domain.current_task()
         rank = self._mpis.rank
         dt = self.simulation.timeStep
         for rk in self._intercomms:
diff --git a/HySoP/hysop/operator/continuous.py b/HySoP/hysop/operator/continuous.py
index a45d6cf37..a470261f3 100644
--- a/HySoP/hysop/operator/continuous.py
+++ b/HySoP/hysop/operator/continuous.py
@@ -9,8 +9,7 @@ import hysop.tools.io_utils as io
 
 
 class Operator(object):
-    """
-    Abstract interface to continuous operators.
+    """Abstract interface to continuous operators.
     """
     __metaclass__ = ABCMeta
 
@@ -38,21 +37,23 @@ class Operator(object):
         The elements of the list or the keys of the dict
         are :class:`hysop.fields.continuous.Fields`.
 
-        The values of the dict can be either :class:`hysop.mpi.topology.Cartesian`
-        or :class:`hysop.tools.parameters.Discretization`.
+        The values of the dict can be either
+        :class:`hysop.mpi.topology.Cartesian`
+        or :class:`hysop.tools.parameters.Discretization`::
 
-        op = Analytic(variables = [velo, vorti], ...
+        op = Analytic(variables = [velo, vorti], ...)
 
-        or
-        op = Analytic(variables = {velo: topo, vorti: discr3D}, ...
+        or::
 
-        TODO : write a full explanation for field discretization.
+        op = Analytic(variables = {velo: topo, vorti: discr3D}, ...)
 
         Attributes
         ----------
         variables : dict or list
-            fields with their discretisation
-        domain : the physical domain on which this operator applies
+            :class:`~hysop.fields.continuous.Continuous`
+            with their discretisation
+        domain : :class:`~hysop.domain.domain.Domain`,
+        the geometry on which this operator applies
 
         """
         # 1 ---- Variables setup ----
@@ -125,7 +126,7 @@ class Operator(object):
         if isinstance(self.variables, list):
             self.domain = self.variables[0].domain
         elif isinstance(self.variables, dict):
-           self.domain = self.variables.keys()[0].domain
+            self.domain = self.variables.keys()[0].domain
 
         # Check if all variables have the same domain
         for v in self.variables:
@@ -134,7 +135,7 @@ class Operator(object):
         # Set/check mpi context
         if self._mpis is None:
             self._mpis = MPIParams(comm=self.domain.comm_task,
-                                    task_id=self.domain.currentTask())
+                                   task_id=self.domain.current_task())
 
         # Set profiler
         self.profiler = Profiler(self, self.domain.comm_task)
@@ -143,9 +144,9 @@ class Operator(object):
         raise RuntimeError("This operator is not defined for the current task")
 
     def wait_for(self, op):
-        """
+        """MPI synchronisation
 
-        :param op:  Continuous
+        :param op:  :class:`~hysop.operator.continuous.Continuous`
             Add an operator into 'wait' list of the present object.
             It means that before any apply of this operator, all
             (mpi) operations in op must be fulfilled, which implies
@@ -155,7 +156,8 @@ class Operator(object):
         self._wait_list.append(op)
 
     def wait_list(self):
-        """
+        """Get MPI running comm. list
+
         Returns
         -------
         python list of all operators that must be fulfilled
@@ -173,10 +175,11 @@ class Operator(object):
         pass
 
     def test_requests(self):
-        """
+        """Checks for unfinished mpi communications.
+
         Returns
         -------
-        bool : MPI send/recv test for synchronisation: when this function is
+        bool : MPI send/recv test for synchronisation, when this function is
         called, the programm checks if this operator handles some uncomplete
         mpi requests (if so return true, else false).
         This is a non-blocking call.
@@ -190,7 +193,7 @@ class Operator(object):
         ready to apply.
         In derived classes, called through @opsetup decorator.
         """
-        if not self.domain.currentTask() == self._mpis.task_id:
+        if not self.domain.current_task() == self._mpis.task_id:
             self.ontask = False
             self._error_()
 
@@ -225,9 +228,8 @@ class Operator(object):
         """
 
     def is_up(self):
-        """
-        Returns True if ready to be applied (--> setup function has
-        been called succesfully)
+        """Returns True if ready to be applied
+        (--> setup function has been called succesfully)
         """
         return self._is_uptodate
 
diff --git a/HySoP/hysop/operator/discrete/discrete.py b/HySoP/hysop/operator/discrete/discrete.py
index e24b24701..baff4c8f8 100644
--- a/HySoP/hysop/operator/discrete/discrete.py
+++ b/HySoP/hysop/operator/discrete/discrete.py
@@ -95,9 +95,9 @@ class DiscreteOperator(object):
         self._writer = None
         # Check topologies consistency
         if self.variables is not None:
-            topoRef = self.variables[0].topology
+            toporef = self.variables[0].topology
             for v in self.variables:
-                assert v.topology.isConsistentWith(topoRef)
+                assert v.topology.is_consistent_with(toporef)
 
     def get_work_properties(self):
         """
diff --git a/HySoP/hysop/operator/discrete/drag_and_lift.py b/HySoP/hysop/operator/discrete/drag_and_lift.py
index 2eea997d9..a85de1030 100644
--- a/HySoP/hysop/operator/discrete/drag_and_lift.py
+++ b/HySoP/hysop/operator/discrete/drag_and_lift.py
@@ -7,7 +7,8 @@ import hysop.tools.numpywrappers as npw
 from abc import ABCMeta, abstractmethod
 from hysop.numerics.utils import Utils
 from hysop.constants import XDIR, YDIR, ZDIR
-import numpy as np
+from hysop.domain.control_box import ControlBox
+from hysop.domain.subsets import Subset
 
 
 class Forces(DiscreteOperator):
@@ -23,7 +24,7 @@ class Forces(DiscreteOperator):
         """
         Parameters
         ----------
-        obstacles : list of :class:`~hysop.domain.subsets.subset.Subset`
+        obstacles : list of :class:`~hysop.domain.subsets.Subset`
             list of bodies inside the flow
         normalization : double, optional
             a normalization coefficient applied to the force, default = 1.
@@ -85,7 +86,7 @@ class Forces(DiscreteOperator):
         """
         Parameters
         -----------
-        obstacles : a list of :class:`hysop.domain.subsets.subset.Subset`
+        obstacles : a list of :class:`hysop.domain.subsets.Subset`
 
         Returns
         -------
@@ -186,12 +187,6 @@ class MomentumForces(Forces):
         self._buff = None
         self._init_buffers()
 
-        # A local discrete operator, to penalize temporary var.
-        ## from hysop.operator.discrete.penalization import Penalization
-        ## self._penalize = Penalization(variables=self._buff,
-        ##                               obstacles=self._obstacles,
-        ##                               coeff=self._coeff)
-
     def _init_buffers(self):
         """
         Allocate memory for local buffers (used to compute
@@ -216,10 +211,7 @@ class MomentumForces(Forces):
         # mpi communicator
         #self._subcomm = obstacles[0].subcomm[self._topology]
         # Return the list of indices of points inside the obstacle
-        if obst.is_porous:
-            return obst.ind[self._topology]
-        else:
-            return [obst.ind[self._topology]]
+        return obst.ind[self._topology]
 
     def _momentum(self, dt):
         # -- Integration over the obstacle --
@@ -233,21 +225,9 @@ class MomentumForces(Forces):
             for i in xrange(len(self._indices)):
                 self._buff[...] = 0.0
                 icurrent = self._indices[i]
-#                print 'shape',  np.shape(icurrent), 'r =', self._topology.rank, 'i =', i
-                current = self._buff[icurrent]
                 coeff = self._coeff[i] * dt / (1. + self._coeff[i] * dt)
-                current[...] = self.velocity.data[d][icurrent] * coeff
-                self.force[d] += npw.real_sum(current)
-#            print 'd=', d, 'force =', self.force[d]
-
-#            i = 0
-#            for ind in self._indices:
-#                self._buff[...] = 0.0
-#                self._buff[ind] = self.velocity.data[d][ind] / (1.0 + self._coeff[i] * dt)
-#                self._buff[ind] *= -1.0
-#                self._buff[ind] += self.velocity.data[d][ind]
-#                i += 1
-#                self.force[d] += npw.real_sum(self._buff[ind])
+                self._buff[icurrent] = self.velocity.data[d][icurrent] * coeff
+                self.force[d] += npw.real_sum(self._buff[icurrent])
 
         self.force *= self._dvol
         self.force /= dt
@@ -338,7 +318,7 @@ class NocaForces(Forces):
 
         Parameters
         ----------
-        obstacles: list of :class:`~hysop.domain.subsets.subset.Subset`
+        obstacles: list of :class:`~hysop.domain.subsets.Subset`
             obstacles in the flow
 
         Returns
@@ -346,12 +326,10 @@ class NocaForces(Forces):
         list of indices of points inside those obstacles
 
         """
-        from hysop.domain.subsets.control_box import ControlBox
         assert isinstance(self._voc, ControlBox)
         self._on_proc = self._voc.on_proc[self._topology]
         msg = 'obstacles arg must be a list.'
         assert isinstance(obstacles, list), msg
-        from hysop.domain.subsets.subset import Subset
         # no obstacle in the box, just for test purpose.
         if obstacles is None or len(obstacles) == 0:
             return self._voc.ind[self._topology]
diff --git a/HySoP/hysop/operator/discrete/penalization.py b/HySoP/hysop/operator/discrete/penalization.py
index 983faf515..b8113bb13 100644
--- a/HySoP/hysop/operator/discrete/penalization.py
+++ b/HySoP/hysop/operator/discrete/penalization.py
@@ -1,18 +1,18 @@
 # -*- coding: utf-8 -*-
-"""
-@file operator/discrete/penalization.py
-Discrete operator for penalization problem.
+"""Discrete operators for penalization problem.
+.. currentmodule:: hysop.operator.discrete.penalization
+* :class:`Penalization` : standard penalisation
+* :class:`PenalizeVorticity`  : vorticity formulation
+
 """
 from hysop.constants import debug
 from hysop.operator.discrete.discrete import DiscreteOperator
 from hysop.tools.profiler import profile
-from hysop.domain.subsets.subset import Subset
+from hysop.domain.subsets import Subset
 
 
 class Penalization(DiscreteOperator):
-    """
-    Discretized penalisation operator.
-    See details in hysop.operator.penalization
+    """Discretized penalisation operator.
     """
 
     @debug
@@ -25,19 +25,6 @@ class Penalization(DiscreteOperator):
         coeff : double, optional
             penalization factor applied to all geometries.
 
-        Set :
-        - obstacles = {obs1: coeff1, obs2: coeff2, ...} and coeff=None
-        to apply a different coefficient on each subset.
-        - obstacles = [obs1, obs2, ...], coeff=coeff1 to apply the
-        same penalization on all subsets.
-        obs1, ob2 ... must be some `~hysop.domain.subsets.Subset`
-        and coeff1 must be either a real scalar or a function of the
-        coordinates like
-        def coeff(*args):
-            return 3 * args[0]
-
-        with args[0,1,...] = x,y,...
-        Warning : coeff as a function is not yet implemented!!
         """
         super(Penalization, self).__init__(**kwds)
 
@@ -123,3 +110,72 @@ class Penalization(DiscreteOperator):
             "Simulation parameter is required."
         dt = simulation.timeStep
         self._apply(dt)
+
+
+class PenalizeVorticity(Penalization):
+    """
+    Discretized penalisation operator.
+    See details in hysop.operator.penalization
+    """
+
+    @debug
+    def __init__(self, vorticity, velocity, curl, **kwds):
+        """
+        Parameters
+        ----------
+        velocity, vorticity: :class:`~hysop.fields.continuous.Field`
+        curl : :class:`~hysop..operator.differential`
+            internal operator to compute the curl of the penalised velocity
+        **kwds : extra parameters for parent class.
+
+        Notes
+        -----
+        velocity is not modified by this operator.
+        vorticity is an in-out parameter.
+        input and ouput variables of the curl are some local buffers.
+        """
+        assert 'variables' not in kwds, 'variables parameter is useless.'
+        super(PenalizeVorticity, self).__init__(variables=[vorticity,
+                                                           velocity],
+                                                **kwds)
+        self.velocity = velocity
+        self.vorticity = vorticity
+        # warning : a buffer is added for invar variable in curl
+        topo = self.velocity.topology
+        msg = 'Multiresolution not implemented for penalization.'
+        assert self.vorticity.topology == topo, msg
+        self._curl = curl
+
+    def _apply_single_coeff(self, dt):
+        # Vorticity penalization
+        # warning : the buff0 array ensures "invar" to be 0
+        # outside the obstacle for the curl evaluation
+        invar = self._curl.invar
+        nbc = invar.nb_components
+        for d in xrange(nbc):
+            invar.data[d][...] = 0.0
+        coeff = -dt * self._coeff / (1.0 + dt * self._coeff)
+        for d in xrange(nbc):
+            invar.data[d][self._cond] = \
+                self.velocity[d][self._cond] * coeff
+        self._curl.apply()
+        for d in xrange(self.vorticity.nb_components):
+            self.vorticity[d][...] += self._curl.outvar[d][...]
+
+    def _apply_multi_coeff(self, dt):
+        invar = self._curl.invar
+        nbc = invar.nb_components
+
+        for d in xrange(nbc):
+            invar.data[d][...] = 0.0
+
+        for i in xrange(len(self._cond)):
+            coeff = -dt * self._coeff[i] / (1.0 + dt * self._coeff[i])
+            cond = self._cond[i]
+            for d in xrange(nbc):
+                invar.data[d][cond] = self.velocity[d][cond] * coeff
+
+        self._curl.apply()
+
+        for d in xrange(self.vorticity.nb_components):
+            self.vorticity[d][...] += self._curl.outvar[d][...]
diff --git a/HySoP/hysop/operator/discrete/penalize_vorticity.py b/HySoP/hysop/operator/discrete/penalize_vorticity.py
index a33cead92..279bf74b3 100644
--- a/HySoP/hysop/operator/discrete/penalize_vorticity.py
+++ b/HySoP/hysop/operator/discrete/penalize_vorticity.py
@@ -1,75 +1,7 @@
 # -*- coding: utf-8 -*-
-"""
-@file operator/discrete/penalization.py
-Discrete operator for penalization problem.
+"""Discrete operators for penalization problem.
 """
 from hysop.constants import debug
 from hysop.operator.discrete.penalization import Penalization
 
 
-class PenalizeVorticity(Penalization):
-    """
-    Discretized penalisation operator.
-    See details in hysop.operator.penalization
-    """
-
-    @debug
-    def __init__(self, vorticity, velocity, curl, **kwds):
-        """
-        @param[in,out] vorticity : vorticity field
-        @param[in] curl : curl operator used to compute
-        somebuffer = curl(penalized vorticity)
-        """
-        assert 'variables' not in kwds, 'variables parameter is useless.'
-        super(PenalizeVorticity, self).__init__(variables=[vorticity,
-                                                           velocity],
-                                                **kwds)
-        self.velocity = velocity
-        self.vorticity = vorticity
-        # \warning : a buffer is added for invar variable in curl
-        topo = self.velocity.topology
-        msg = 'Multiresolution not implemented for penalization.'
-        assert self.vorticity.topology == topo, msg
-        self._curl = curl
-
-    def _apply_single_coeff(self, dt):
-        # Vorticity penalization
-        # \warning : the buff0 array ensures "invar" to be 0
-        # outside the obstacle for the curl evaluation
-        invar = self._curl.invar
-        nbc = invar.nb_components
-        for d in xrange(nbc):
-            invar.data[d][...] = 0.0
-        coeff = -dt * self._coeff / (1.0 + dt * self._coeff)
-        for d in xrange(nbc):
-            invar.data[d][self._cond] = \
-                self.velocity[d][self._cond] * coeff
-        self._curl.apply()
-        for d in xrange(self.vorticity.nb_components):
-            self.vorticity[d][...] += self._curl.outvar[d][...]
-        # Velocity penalization (nor used for the moment since
-        # it implies a non divergence free velocity field)
-#        coeff = 1. / (1. + dt * self._coeff)
-#        self._penalize(self.velocity, coeff, self._cond)
-
-    def _apply_multi_coeff(self, dt):
-        invar = self._curl.invar
-        nbc = invar.nb_components
-
-        for d in xrange(nbc):
-            invar.data[d][...] = 0.0
-
-        for i in xrange(len(self._cond)):
-            coeff = -dt * self._coeff[i] / (1.0 + dt * self._coeff[i])
-            cond = self._cond[i]
-            for d in xrange(nbc):
-                invar.data[d][cond] = self.velocity[d][cond] * coeff
-
-        self._curl.apply()
-
-        for d in xrange(self.vorticity.nb_components):
-            self.vorticity[d][...] += self._curl.outvar[d][...]
-
-    def _penalize(self, field, coef, cond):
-        for d in xrange(field.nb_components):
-            field[d][cond] *= coef
diff --git a/HySoP/hysop/operator/drag_and_lift.py b/HySoP/hysop/operator/drag_and_lift.py
index a9100f7f5..e8ecb741d 100644
--- a/HySoP/hysop/operator/drag_and_lift.py
+++ b/HySoP/hysop/operator/drag_and_lift.py
@@ -7,6 +7,7 @@
 from hysop.operator.computational import Computational
 from hysop.operator.continuous import opsetup
 from abc import ABCMeta, abstractmethod
+from hysop.domain.control_box import ControlBox
 
 
 class Forces(Computational):
@@ -201,7 +202,6 @@ class NocaForces(Forces):
         if volume_of_control is None:
             lr = self.domain.length * 0.9
             xr = self.domain.origin + 0.04 * self.domain.length
-            from hysop.domain.subsets.control_box import ControlBox
             volume_of_control = ControlBox(parent=self.domain,
                                            origin=xr, length=lr)
         self._voc = volume_of_control
diff --git a/HySoP/hysop/operator/penalization.py b/HySoP/hysop/operator/penalization.py
index 9d164a412..81b451ef8 100644
--- a/HySoP/hysop/operator/penalization.py
+++ b/HySoP/hysop/operator/penalization.py
@@ -1,13 +1,27 @@
 # -*- coding: utf-8 -*-
-"""
-@file operator/penalization.py
+"""Operators for penalization problem.
+
+.. currentmodule:: hysop.operator.penalization
+
+* :class:`Penalization` : standard penalisation
+* :class:`PenalizeVorticity`  : vorticity formulation
+
+See details in :ref:`penalisation` section of HySoP user guide.
 
-Penalisation of a given field
 """
+
 from hysop.operator.computational import Computational
-from hysop.operator.discrete.penalization import Penalization as DiscrPenal
+from hysop.operator.discrete.penalization import Penalization as DPenalV
+from hysop.operator.discrete.penalization import PenalizeVorticity as DPenalW
 from hysop.constants import debug
 from hysop.operator.continuous import opsetup
+from hysop.domain.subsets import Subset
+import hysop.default_methods as default
+from hysop.methods_keys import SpaceDiscretisation
+from hysop.numerics.finite_differences import FD_C_4,\
+    FD_C_2
+from hysop.operator.differential import Curl
+from hysop.fields.continuous import Field
 
 
 class Penalization(Computational):
@@ -25,30 +39,45 @@ class Penalization(Computational):
     @debug
     def __init__(self, obstacles, coeff=None, **kwds):
         """
-        @param[in] obstacles : dictionnary or list of
-        subsets on which penalization must be applied
-        @param[in] coeff : penalization factor or function.
+        Parameters
+        ----------
+        obstacles : dict or list of :class:`~hysop.domain.subsets.Subset`
+            sets of geometries on which penalization must be applied
+        coeff : double, optional
+            penalization factor applied to all geometries.
+        **kwds : extra parameters for parent class
+
+        Notes
+        -----
+        Set::
+
+        obstacles = {obs1: coeff1, obs2: coeff2, ...}
+        coeff = None
 
-        Set :
-        - obstacles = {obs1: coeff1, obs2: coeff2, ...} and coeff=None
         to apply a different coefficient on each subset.
-        - obstacles = [obs1, obs2, ...], coeff=coeff1 to apply the
-        same penalization on all subsets.
-        obs1, ob2 ... must be some hysop.domain.subsets.Subset
-        and coeff1 must be either a scalar or a function of the
-        coordinates like
-        def coeff(*args):
-            return 3 * args[0]
+        Set::
+
+        obstacles = [obs1, obs2, ...]
+        coeff = some_value
+
+        to apply the same penalization on all subsets.
+        obs1, ob2 ... must be some :class:`~hysop.domain.subsets.Subset`
+        and some_value must be either a real scalar or a function of the
+        coordinates like::
+
+            def coeff(*args):
+                return 3 * args[0]
 
         with args[0,1,...] = x,y,...
 
+        Warning : coeff as a function is not yet implemented!!
         """
         super(Penalization, self).__init__(**kwds)
 
-        ## The list of subset on which penalization must be applied
+        # The list of subset on which penalization must be applied
         self.obstacles = obstacles
 
-        ## Penalization functions or coef
+        # Penalization functions or coef
         self.coeff = coeff
         self.input = self.output = self.variables
 
@@ -57,7 +86,6 @@ class Penalization(Computational):
         # all variables must have the same resolution
         assert self._single_topo, 'multi-resolution case not allowed.'
         topo = self.variables.values()[0]
-        from hysop.domain.subsets.subset import Subset
         for obs in self.obstacles:
             assert isinstance(obs, Subset)
             obs.discretize(topo)
@@ -65,8 +93,87 @@ class Penalization(Computational):
     @debug
     @opsetup
     def setup(self, rwork=None, iwork=None):
-        self.discrete_op = DiscrPenal(
+        self.discrete_op = DPenalV(
             variables=self.discreteFields.values(), obstacles=self.obstacles,
             coeff=self.coeff, rwork=rwork, iwork=iwork)
 
         self._is_uptodate = True
+
+
+class PenalizeVorticity(Penalization):
+    """
+    Solve
+    \f{eqnarray*}
+    \frac{\partial w}{\partial t} &=& \lambda\chi_s\nabla\times(v_D - v)
+    \f}
+    using penalization.
+    """
+
+    @debug
+    def __init__(self, velocity, vorticity, **kwds):
+        """
+        Parameters
+        ----------
+        velocity, vorticity: :class:`~hysop.fields.continuous.Field`
+        **kwds : extra parameters for parent class.
+
+        Notes
+        -----
+        velocity is not modified by this operator.
+        vorticity is an in-out parameter.
+        """
+        assert 'variables' not in kwds, 'variables parameter is useless.'
+        super(PenalizeVorticity, self).__init__(
+            variables=[velocity, vorticity], **kwds)
+        # velocity field
+        self.velocity = velocity
+        # vorticity field
+        self.vorticity = vorticity
+        # A method is required to set how the curl will be computed.
+        if self.method is None:
+            self.method = default.DIFFERENTIAL
+        # operator to compute buffer = curl(penalised velocity)
+        self._curl = None
+
+    def discretize(self):
+
+        if self.method[SpaceDiscretisation] is FD_C_4:
+            # Finite differences method
+            # Minimal number of ghost points
+            nb_ghosts = 2
+        elif self.method[SpaceDiscretisation] is FD_C_2:
+            nb_ghosts = 1
+        else:
+            raise ValueError("Unknown method for space discretization of the\
+                differential operator in penalization.")
+        super(PenalizeVorticity, self)._standard_discretize(nb_ghosts)
+        # all variables must have the same resolution
+        assert self._single_topo, 'multi-resolution case not allowed.'
+        topo = self.variables[self.velocity]
+        for obs in self.obstacles:
+            assert isinstance(obs, Subset)
+            obs.discretize(topo)
+        invar = Field(domain=self.velocity.domain,
+                      name='curl_in', is_vector=True)
+        dimension = self.domain.dimension
+        outvar = Field(domain=self.velocity.domain,
+                       name='curl_out',
+                       is_vector=dimension == 3)
+        self._curl = Curl(invar=invar, outvar=outvar,
+                          discretization=topo, method=self.method)
+        self._curl.discretize()
+
+    def get_work_properties(self):
+        return self._curl.get_work_properties()
+
+    @debug
+    @opsetup
+    def setup(self, rwork=None, iwork=None):
+        self._curl.setup(rwork, iwork)
+        self.discrete_op = DPenalW(
+            vorticity=self.discreteFields[self.vorticity],
+            velocity=self.discreteFields[self.velocity],
+            curl=self._curl.discrete_op,
+            obstacles=self.obstacles,
+            coeff=self.coeff, rwork=rwork, iwork=iwork)
+        self._is_uptodate = True
diff --git a/HySoP/hysop/operator/penalize_vorticity.py b/HySoP/hysop/operator/penalize_vorticity.py
index 9d1ab278a..adaa33a24 100644
--- a/HySoP/hysop/operator/penalize_vorticity.py
+++ b/HySoP/hysop/operator/penalize_vorticity.py
@@ -1,90 +1,3 @@
 # -*- coding: utf-8 -*-
+"""Compute the vorticity field from velocity using penalization.
 """
-@file operator/penalization_and_curl.py
-
-Compute the vorticity field from velocity using penalization.
-"""
-from hysop.operator.penalization import Penalization
-from hysop.operator.discrete.penalize_vorticity\
-    import PenalizeVorticity as PW
-from hysop.constants import debug
-from hysop.operator.continuous import opsetup
-import hysop.default_methods as default
-from hysop.methods_keys import SpaceDiscretisation
-from hysop.numerics.finite_differences import FD_C_4,\
-    FD_C_2
-from hysop.operator.differential import Curl
-from hysop.fields.continuous import Field
-
-
-class PenalizeVorticity(Penalization):
-    """
-    Solve
-    \f{eqnarray*}
-    \frac{\partial w}{\partial t} &=& \lambda\chi_s\nabla\times(v_D - v)
-    \f}
-    using penalization.
-    """
-
-    @debug
-    def __init__(self, velocity, vorticity, **kwds):
-        """
-        @param[in,out] velocity : velocity field
-        @param[in,out] vorticity : vorticity field
-        """
-        assert 'variables' not in kwds, 'variables parameter is useless.'
-        super(PenalizeVorticity, self).__init__(
-            variables=[velocity, vorticity], **kwds)
-        # velocity field
-        self.velocity = velocity
-        # vorticity field
-        self.vorticity = vorticity
-        # A method is required to set how the curl will be computed.
-        if self.method is None:
-            self.method = default.DIFFERENTIAL
-        # operator to compute buffer = curl(penalised velocity)
-        self._curl = None
-
-    def discretize(self):
-
-        if self.method[SpaceDiscretisation] is FD_C_4:
-            # Finite differences method
-            # Minimal number of ghost points
-            nb_ghosts = 2
-        elif self.method[SpaceDiscretisation] is FD_C_2:
-            nb_ghosts = 1
-        else:
-            raise ValueError("Unknown method for space discretization of the\
-                differential operator in penalization.")
-        super(PenalizeVorticity, self)._standard_discretize(nb_ghosts)
-        # all variables must have the same resolution
-        assert self._single_topo, 'multi-resolution case not allowed.'
-        topo = self.variables[self.velocity]
-        from hysop.domain.subsets.subset import Subset
-        for obs in self.obstacles:
-            assert isinstance(obs, Subset)
-            obs.discretize(topo)
-        invar = Field(domain=self.velocity.domain,
-                      name='curl_in', is_vector=True)
-        dimension = self.domain.dimension
-        outvar = Field(domain=self.velocity.domain,
-                       name='curl_out',
-                       is_vector=dimension == 3)
-        self._curl = Curl(invar=invar, outvar=outvar,
-                          discretization=topo, method=self.method)
-        self._curl.discretize()
-
-    def get_work_properties(self):
-        return self._curl.get_work_properties()
-
-    @debug
-    @opsetup
-    def setup(self, rwork=None, iwork=None):
-        self._curl.setup(rwork, iwork)
-        self.discrete_op = PW(
-            vorticity=self.discreteFields[self.vorticity],
-            velocity=self.discreteFields[self.velocity],
-            curl=self._curl.discrete_op,
-            obstacles=self.obstacles,
-            coeff=self.coeff, rwork=rwork, iwork=iwork)
-        self._is_uptodate = True
diff --git a/HySoP/hysop/operator/poisson.py b/HySoP/hysop/operator/poisson.py
index 73d29b535..5151d2380 100644
--- a/HySoP/hysop/operator/poisson.py
+++ b/HySoP/hysop/operator/poisson.py
@@ -1,8 +1,5 @@
 # -*- coding: utf-8 -*-
-"""
-@file poisson.py
-Poisson problem.
-
+"""Poisson problem.
 """
 from hysop.operator.computational import Computational
 from hysop.operator.discrete.poisson_fft import PoissonFFT
@@ -16,7 +13,6 @@ import hysop.default_methods as default
 
 class Poisson(Computational):
     """
-    Poisson problem,
     \f{eqnarray*}
     v = Op(\omega)
     \f} with :
diff --git a/HySoP/hysop/operator/redistribute.py b/HySoP/hysop/operator/redistribute.py
index c66846c7b..c37db1da9 100644
--- a/HySoP/hysop/operator/redistribute.py
+++ b/HySoP/hysop/operator/redistribute.py
@@ -177,7 +177,7 @@ class Redistribute(Operator):
         else:
             msg = "the source/target is neither an operator or a topology."
             raise AttributeError(msg)
-        assert result.task_id() == self.domain.currentTask()
+        assert result.task_id() == self.domain.current_task()
         return result
 
     def printComputeTime(self):
diff --git a/HySoP/hysop/operator/redistribute_inter.py b/HySoP/hysop/operator/redistribute_inter.py
index 96fc24521..f72bdb7c7 100644
--- a/HySoP/hysop/operator/redistribute_inter.py
+++ b/HySoP/hysop/operator/redistribute_inter.py
@@ -53,7 +53,7 @@ class RedistributeInter(Redistribute):
         self._set_domain_and_tasks()
 
         # Domain is set, we can check if we are on source or target
-        current_task = self.domain.currentTask()
+        current_task = self.domain.current_task()
         self._is_source = current_task == self._source_id
         self._is_target = current_task == self._target_id
         assert self._is_target or self._is_source
diff --git a/HySoP/hysop/operator/tests/ref_files/penal_vort_2d_multi_sphere_00000.h5 b/HySoP/hysop/operator/tests/ref_files/penal_vort_2d_multi_sphere_00000.h5
index 6878cadc01a867c59511df698ffc5a9e5eebaec7..1c91c8933ca496944febab6633f8a4678c5c1e49 100644
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diff --git a/HySoP/hysop/operator/tests/test_adaptive_time_step.py b/HySoP/hysop/operator/tests/test_adaptive_time_step.py
index d31377a96..6792f4b3a 100644
--- a/HySoP/hysop/operator/tests/test_adaptive_time_step.py
+++ b/HySoP/hysop/operator/tests/test_adaptive_time_step.py
@@ -119,18 +119,18 @@ def test_adapt_4():
                        discretization=d3d, lcfl=0.125, cfl=0.5,
                        mpi_params=cpu_task)
     simu.initialize()
-    if dom.isOnTask(CPU):
+    if dom.is_on_task(CPU):
         op.discretize()
         op.setup()
         vorti.initialize()
 
     while not simu.isOver:
-        if dom.isOnTask(CPU):
+        if dom.is_on_task(CPU):
             op.apply()
         op.wait()
         simu.advance()
         refval = 0
-        if dom.isOnTask(CPU):
+        if dom.is_on_task(CPU):
             refval = simu.timeStep
         refval = main_comm.bcast(refval, root=0)
         assert refval == simu.timeStep
diff --git a/HySoP/hysop/operator/tests/test_drag_and_lift.py b/HySoP/hysop/operator/tests/test_drag_and_lift.py
index 50fcb6e69..27282aa9f 100644
--- a/HySoP/hysop/operator/tests/test_drag_and_lift.py
+++ b/HySoP/hysop/operator/tests/test_drag_and_lift.py
@@ -1,6 +1,6 @@
 # -*- coding: utf-8 -*-
-from hysop.domain.subsets.sphere import Sphere
-from hysop.operator.penalize_vorticity import PenalizeVorticity
+from hysop.domain.subsets import Sphere
+from hysop.operator.penalization import PenalizeVorticity
 from hysop.problem.simulation import Simulation
 from hysop.tools.parameters import Discretization, IOParams
 from hysop.mpi.topology import Cartesian
@@ -162,6 +162,6 @@ def test_noca3():
 # This may be useful to run mpi tests
 if __name__ == "__main__":
     test_momentum_forces_3d()
-    test_noca1()
-    test_noca2()
+    #test_noca1()
+    #test_noca2()
     #test_noca3()
diff --git a/HySoP/hysop/operator/tests/test_energy_enstrophy.py b/HySoP/hysop/operator/tests/test_energy_enstrophy.py
index 17125d6b0..124466d26 100644
--- a/HySoP/hysop/operator/tests/test_energy_enstrophy.py
+++ b/HySoP/hysop/operator/tests/test_energy_enstrophy.py
@@ -3,11 +3,22 @@ import hysop as pp
 from hysop.operator.energy_enstrophy import EnergyEnstrophy
 from hysop.problem.simulation import Simulation
 from hysop.tools.parameters import Discretization
-from hysop import VariableParameter, Field
+from hysop import Field
 import numpy as np
-import hysop.tools.numpywrappers as npw
-import os
-from scipy.integrate import nquad
+try:
+    from scipy.integrate import nquad
+
+except:
+    def nquad(func, coords_range):
+        coords = []
+        nbsteps = 1000
+        for x in coords_range:
+            coords.append(np.linspace(x[0], x[1], nbsteps))
+        coords = tuple(coords)
+        hstep = coords[0][1] - coords[0][0]
+        ll = [coords_range[i][1] - coords_range[i][0] for i in xrange(1, 3)]
+        return [np.sum(func(*coords)[:-1]) * hstep * np.prod(ll)]
+
 sin = np.sin
 cos = np.cos
 
@@ -58,19 +69,19 @@ def test_energy_enstrophy():
     op.apply(simu)
     intrange = []
     box = topo.domain
-    invvol = 1./ np.prod(box.length)
+    invvol = 1. / np.prod(box.length)
     for i in xrange(dim):
         origin = box.origin[i]
         end = origin + box.length[i]
         intrange.append([origin, end])
     intrange = 2 * intrange
-    Eref = nquad(energy_ref, intrange[:dim])[0]
-    Eref += nquad(energy_ref, intrange[1:dim + 1])[0]
-    Eref += nquad(energy_ref, intrange[2:dim + 2])[0]
-    Eref *= invvol
+    eref = nquad(energy_ref, intrange[:dim])[0]
+    eref += nquad(energy_ref, intrange[1:dim + 1])[0]
+    eref += nquad(energy_ref, intrange[2:dim + 2])[0]
+    eref *= invvol
     tol = (topo.mesh.space_step).max() ** 2
-    assert (op.energy() - Eref * 0.5) < tol
-    assert (op.enstrophy() - Eref) < tol
+    assert (op.energy() - eref * 0.5) < tol
+    assert (op.enstrophy() - eref) < tol
 
 if __name__ == "__main__":
     test_energy_enstrophy()
diff --git a/HySoP/hysop/operator/tests/test_hdf5_io.py b/HySoP/hysop/operator/tests/test_hdf5_io.py
index 458f15f07..c1c0f5ab7 100644
--- a/HySoP/hysop/operator/tests/test_hdf5_io.py
+++ b/HySoP/hysop/operator/tests/test_hdf5_io.py
@@ -13,6 +13,7 @@ from hysop.tools.parameters import Discretization, IOParams
 from hysop.operator.hdf_io import HDF_Writer, HDF_Reader
 from hysop.tools.io_utils import IO
 from hysop.mpi import main_rank, main_size
+from hysop.domain.subsets import SubBox
 
 Lx = 2.
 nb = 65
@@ -286,7 +287,7 @@ def test_write_read_subset_1():
     velo = Field(domain=dom, formula=vec3D, name='velo', is_vector=True)
 
     # A subset of the current domain
-    from hysop.domain.subsets.boxes import SubBox
+    from hysop.domain.subsets import SubBox
     mybox = SubBox(origin=[-0.5, 2.3, 4.1], length=[Lx / 2, Lx / 3, Lx],
                    parent=dom)
     # Write a vector field, using default for output location
@@ -339,7 +340,6 @@ def test_write_read_subset_2():
     velo = Field(domain=dom, formula=vec3D, name='velo', is_vector=True)
 
     # A subset of the current domain
-    from hysop.domain.subsets.boxes import SubBox
     # a plane ...
     mybox = SubBox(origin=[-0.5, 2.3, 4.1], length=[Lx / 2, Lx / 3, 0.0],
                    parent=dom)
diff --git a/HySoP/hysop/operator/tests/test_operators.py b/HySoP/hysop/operator/tests/test_operators.py
index 2a86d6d45..1b184f29b 100644
--- a/HySoP/hysop/operator/tests/test_operators.py
+++ b/HySoP/hysop/operator/tests/test_operators.py
@@ -25,18 +25,18 @@ def test_tasks():
     test proper tasks assignment
     """
     dom, topo = create_multitask_context(dim=3, discr=r_ng)
-    assert topo.task_id() == dom.currentTask()
+    assert topo.task_id() == dom.current_task()
     velo = pp.Field(domain=dom, name='velocity',
                     is_vector=True, formula=v3d)
     op = Analytic(variables={velo: r_ng})
     op.discretize()
     op.setup()
 
-    assert op.task_id() == dom.currentTask()
+    assert op.task_id() == dom.current_task()
     if main_size == 8:
-        if dom.isOnTask(CPU):
+        if dom.is_on_task(CPU):
             assert op.variables[velo].size == 5
-        elif dom.isOnTask(GPU):
+        elif dom.is_on_task(GPU):
             assert op.variables[velo].size == 2
-        elif dom.isOnTask(OTHER):
+        elif dom.is_on_task(OTHER):
             assert op.variables[velo].size == 1
diff --git a/HySoP/hysop/operator/tests/test_penalization.py b/HySoP/hysop/operator/tests/test_penalization.py
index 50e591558..b2ae22762 100644
--- a/HySoP/hysop/operator/tests/test_penalization.py
+++ b/HySoP/hysop/operator/tests/test_penalization.py
@@ -1,8 +1,7 @@
 # -*- coding: utf-8 -*-
 from hysop.domain.subsets import HemiSphere, Sphere, Cylinder
 from hysop.domain.porous import Porous
-from hysop.operator.penalization import Penalization
-from hysop.operator.penalize_vorticity import PenalizeVorticity
+from hysop.operator.penalization import Penalization, PenalizeVorticity
 from hysop.problem.simulation import Simulation
 from hysop.tools.parameters import Discretization, IOParams
 from hysop.mpi.topology import Cartesian
@@ -11,6 +10,7 @@ import numpy as np
 import os
 from hysop import Field, Box
 from hysop.operator.hdf_io import HDF_Reader
+from hysop.domain.subsets import SubBox
 
 
 def v2d(res, x, y, t):
@@ -51,7 +51,6 @@ ldom = npw.asrealarray([math.pi * 2., ] * 3)
 xdef = npw.asrealarray(xdom + 0.2)
 xpos = npw.asrealarray(ldom * 0.5)
 xpos[-1] += 0.1
-from hysop.mpi import main_size
 working_dir = os.getcwd() + '/'
 
 
@@ -128,7 +127,6 @@ def test_penal_2d_multi():
                           radius=rd + 0.3)
     ll = topo.domain.length.copy()
     ll[1] = 0.
-    from hysop.domain.subsets.boxes import SubBox
     downplane = SubBox(parent=topo.domain, origin=topo.domain.origin,
                        length=ll)
     penal = Penalization(variables=[scal, velo], discretization=topo,
@@ -170,7 +168,6 @@ def test_penal_3d_multi():
                           radius=rd + 0.3)
     ll = topo.domain.length.copy()
     ll[1] = 0.
-    from hysop.domain.subsets.boxes import SubBox
     downplane = SubBox(parent=topo.domain, origin=topo.domain.origin,
                        length=ll)
     penal = Penalization(variables=[scal, velo], discretization=topo,
@@ -192,7 +189,6 @@ def test_penal_3d_porous():
                      source=Sphere, layers=[0.5, 0.7, 0.3])
     ll = topo.domain.length.copy()
     ll[1] = 0.
-    from hysop.domain.subsets.boxes import SubBox
     downplane = SubBox(parent=topo.domain, origin=topo.domain.origin,
                        length=ll)
     penal = Penalization(variables=[scal, velo], discretization=topo,
@@ -214,7 +210,6 @@ def test_penal_3d_porous_cyl():
                   source=Cylinder, layers=[0.5, 0.7, 0.3])
     ll = topo.domain.length.copy()
     ll[1] = 0.
-    from hysop.domain.subsets.boxes import SubBox
     downplane = SubBox(parent=topo.domain, origin=topo.domain.origin,
                        length=ll)
     penal = Penalization(variables=[scal, velo], discretization=topo,
@@ -236,7 +231,6 @@ def test_penal_2d_porous():
                      source=Sphere, layers=[0.5, 0.7, 0.3])
     ll = topo.domain.length.copy()
     ll[1] = 0.
-    from hysop.domain.subsets.boxes import SubBox
     downplane = SubBox(parent=topo.domain, origin=topo.domain.origin,
                        length=ll)
     penal = Penalization(variables=[scal, velo], discretization=topo,
diff --git a/HySoP/hysop/operator/tests/test_poisson.py b/HySoP/hysop/operator/tests/test_poisson.py
index 7676e87db..30bc1106e 100755
--- a/HySoP/hysop/operator/tests/test_poisson.py
+++ b/HySoP/hysop/operator/tests/test_poisson.py
@@ -6,12 +6,13 @@ from hysop.operator.analytic import Analytic
 from hysop.operator.reprojection import Reprojection
 from hysop.problem.simulation import Simulation
 from hysop.tools.parameters import Discretization
-from hysop.methods_keys import Scales, TimeIntegrator, Interpolation,\
-    Remesh, Support, Splitting, dtCrit, SpaceDiscretisation, \
+from hysop.methods_keys import SpaceDiscretisation, \
     GhostUpdate, Formulation
 import numpy as np
 import hysop.tools.numpywrappers as npw
 import math
+from hysop.domain.subsets import SubBox
+
 pi = math.pi
 sin = np.sin
 cos = np.cos
@@ -217,7 +218,6 @@ def test_Poisson3D_correction():
     refOp.apply(simu)
     refD = ref.discretize(topo)
     vd = velocity.discretize(topo)
-    from hysop.domain.subsets.boxes import SubBox
     surf = SubBox(parent=dom, origin=dom.origin,
                   length=[0., LL[1], LL[2]])
     surf.discretize(topo)
diff --git a/HySoP/hysop/operator/tests/test_redistribute.py b/HySoP/hysop/operator/tests/test_redistribute.py
index d5a15c849..e72ce8268 100644
--- a/HySoP/hysop/operator/tests/test_redistribute.py
+++ b/HySoP/hysop/operator/tests/test_redistribute.py
@@ -14,6 +14,7 @@ from hysop.mpi.main_var import main_comm, main_size
 from hysop.mpi.tests.utils import create_inter_topos, CPU, GPU, OTHER,\
     create_multitask_context
 from hysop.fields.tests.func_for_tests import v3d, v2d, v3dbis
+from hysop.operator.poisson import Poisson
 
 
 dim3 = 3
@@ -413,7 +414,7 @@ def test_distribute_inter():
     velocity = fields['velocity']
     # Inititialize velocity on CPU task
     vd = velocity.discretize(topo=topo1)
-    if dom_tasks.isOnTask(CPU):
+    if dom_tasks.is_on_task(CPU):
         velocity.initialize(time=simu.time, topo=topo1)
 
     # A field to compute a reference solution, initialized with an analytic
@@ -425,10 +426,10 @@ def test_distribute_inter():
     op.apply(simu)
     wnorm = reference.norm(topo1)
     vnorm = velocity.norm(topo1)
-    if dom_tasks.isOnTask(CPU):
+    if dom_tasks.is_on_task(CPU):
         assert (vnorm > 0).all()
         assert np.allclose(vnorm, wnorm)
-    elif dom_tasks.isOnTask(GPU):
+    elif dom_tasks.is_on_task(GPU):
         assert (wnorm > 0).all()
         assert np.allclose(vnorm, 0)
 
@@ -440,10 +441,10 @@ def test_distribute_inter():
     red.apply(simu)
     red.wait()
     wd = reference.discretize(topo1)
-    if dom.isOnTask(CPU):
+    if dom.is_on_task(CPU):
         assert (vnorm > 0).all()
         assert np.allclose(vnorm, wnorm)
-    elif dom.isOnTask(GPU):
+    elif dom.is_on_task(GPU):
         assert (wnorm > 0).all()
         assert np.allclose(vnorm, wnorm)
         for d in xrange(dom.dimension):
@@ -461,19 +462,19 @@ def test_distribute_inter_2():
     if main_size > 2:
         proc_tasks[-1] = GPU
         proc_tasks[0] = GPU
-    domTasks = pp.Box(proc_tasks=proc_tasks)
-    fields, simu = init_3d(domTasks)
+    domtasks = pp.Box(proc_tasks=proc_tasks)
+    fields, simu = init_3d(domtasks)
     velocity = fields['velocity']
     # Inititialize velocity on GPU task
-    if domTasks.isOnTask(GPU):
-        topo_GPU = domTasks.create_topology(r_ng)
+    if domtasks.is_on_task(GPU):
+        topo_GPU = domtasks.create_topology(r_ng)
         vd = velocity.discretize(topo=topo_GPU)
         velocity.initialize(time=simu.time, topo=topo_GPU)
         vnorm = velocity.norm(topo_GPU)
         assert (vnorm > 0).all()
         topo_CPU = None
 
-    elif domTasks.isOnTask(CPU):
+    elif domtasks.is_on_task(CPU):
         # A field to compute a reference solution, initialized with an analytic
         # operator, on both tasks.
         reference = fields['vorticity']
@@ -491,7 +492,7 @@ def test_distribute_inter_2():
     red.setup()
     red.apply(simu)
     red.wait()
-    if domTasks.isOnTask(CPU):
+    if domtasks.is_on_task(CPU):
         vd = velocity.discretize(topo=topo_CPU)
         wd = reference.discretize(topo=topo_CPU)
         vnorm = velocity.norm(topo_CPU)
@@ -512,7 +513,7 @@ def test_distribute_inter_3():
     fields, simu = init_3d(dom_tasks)
     velocity = fields['velocity']
     # Inititialize velocity on GPU task
-    if dom_tasks.isOnTask(GPU):
+    if dom_tasks.is_on_task(GPU):
         vd = velocity.discretize(topo=topo1)
         velocity.initialize(time=simu.time, topo=topo1)
 
@@ -524,7 +525,7 @@ def test_distribute_inter_3():
     op.setup()
     op.apply(simu)
     wnorm = reference.norm(topo2)
-    if dom_tasks.isOnTask(GPU):
+    if dom_tasks.is_on_task(GPU):
         vnorm = velocity.norm(topo1)
         assert (vnorm > 0).all()
         assert np.allclose(vnorm, wnorm)
@@ -535,7 +536,7 @@ def test_distribute_inter_3():
     red.setup()
     red.apply(simu)
     red.wait()
-    if dom_tasks.isOnTask(CPU):
+    if dom_tasks.is_on_task(CPU):
         wd = reference.discretize(topo=topo2)
         vd = velocity.discretize(topo=topo2)
         vnorm = velocity.norm(topo2)
@@ -551,11 +552,11 @@ def test_distribute_inter_4():
     """
     if main_size < 4:
         return
-    dom_tasks, topo= create_multitask_context(3, r_ng)
+    dom_tasks, topo = create_multitask_context(3, r_ng)
     fields, simu = init_3d(dom_tasks)
     velocity = fields['velocity']
     # Inititialize velocity on GPU task
-    if dom_tasks.isOnTask(GPU):
+    if dom_tasks.is_on_task(GPU):
         vd = velocity.discretize(topo=topo)
         velocity.initialize(time=simu.time, topo=topo)
 
@@ -568,7 +569,7 @@ def test_distribute_inter_4():
     op.apply(simu)
 
     # Redistribute from topo on CPU to topo on GPU, ignoring OTHER
-    if not dom_tasks.isOnTask(OTHER):
+    if not dom_tasks.is_on_task(OTHER):
         red = RedistributeInter(source=topo, target=topo, parent=main_comm,
                                 variables=[velocity],
                                 source_id=GPU, target_id=CPU)
@@ -576,14 +577,14 @@ def test_distribute_inter_4():
         red.apply(simu)
         red.wait()
 
-    if dom_tasks.isOnTask(CPU):
+    if dom_tasks.is_on_task(CPU):
         wd = reference.discretize(topo=topo)
         vd = velocity.discretize(topo=topo)
         ind = topo.mesh.iCompute
         for d in xrange(dom.dimension):
             assert np.allclose(wd.data[d][ind], vd.data[d][ind])
 
-    if dom_tasks.isOnTask(OTHER):
+    if dom_tasks.is_on_task(OTHER):
         assert topo not in velocity.discreteFields
 
 
@@ -591,31 +592,30 @@ def test_distribute_inter_5():
     """
     2 tasks, redistribute op to op
     """
-    from hysop.operator.poisson import Poisson
     if main_size < 4:
         return
     proc_tasks = [CPU, ] * main_size
     proc_tasks[-1] = GPU
     proc_tasks[0] = GPU
-    domTasks = pp.Box(proc_tasks=proc_tasks)
+    domtasks = pp.Box(proc_tasks=proc_tasks)
 
-    fields, simu = init_3d(domTasks)
+    fields, simu = init_3d(domtasks)
     velocity = fields['velocity']
     reference = fields['vorticity']
-    if domTasks.isOnTask(CPU):
+    if domtasks.is_on_task(CPU):
         # initialize velocity on CPU
         op = Analytic(variables={velocity: r_ng})
         op.discretize()
         op.setup()
         op.apply(simu)
-    elif domTasks.isOnTask(GPU):
+    elif domtasks.is_on_task(GPU):
         # initialize reference on CPU
         op_init = Analytic(variables={reference: r_ng})
         op_init.discretize()
         op_init.setup()
         op_init.apply(simu)
         # An empty operator for velocity
-        op = Poisson(velocity=velocity, vorticity=reference,
+        op = Poisson(output_field=velocity, input_field=reference,
                      discretization=r_ng)
         op.discretize()
         op.setup()
@@ -628,11 +628,11 @@ def test_distribute_inter_5():
     red.apply(simu)
     red.wait()
 
-    if domTasks.isOnTask(GPU):
+    if domtasks.is_on_task(GPU):
         toporef = op.variables[reference]
         vd = velocity.discretize(toporef)
         wd = velocity.discretize(toporef)
-        for d in xrange(dom.dimension):
+        for d in xrange(domtasks.dimension):
             assert np.allclose(wd.data[d], vd.data[d])
 
 
@@ -640,34 +640,33 @@ def test_distribute_inter_2d():
     """
     2 tasks, redistribute op to op, 2D domain
     """
-    from hysop.operator.poisson import Poisson
     if main_size < 4:
         return
     proc_tasks = [CPU, ] * main_size
     proc_tasks[-1] = GPU
     proc_tasks[0] = GPU
-    domTasks = pp.Box(dimension=2, proc_tasks=proc_tasks)
-    velocity = pp.Field(domain=domTasks, name='velocity',
+    domtasks = pp.Box(dimension=2, proc_tasks=proc_tasks)
+    velocity = pp.Field(domain=domtasks, name='velocity',
                         is_vector=True, formula=v2d)
-    vort = pp.Field(domain=domTasks, name='vort')
+    vort = pp.Field(domain=domtasks, name='vort')
     simu = Simulation(nbIter=3)
-    reference = pp.Field(domain=domTasks, name='ref',
+    reference = pp.Field(domain=domtasks, name='ref',
                          is_vector=True, formula=v2d)
     r_2d = Discretization([33, ] * 2)
-    if domTasks.isOnTask(CPU):
+    if domtasks.is_on_task(CPU):
         # initialize velocity on CPU
         op = Analytic(variables={velocity: r_2d})
         op.discretize()
         op.setup()
         op.apply(simu)
-    elif domTasks.isOnTask(GPU):
+    elif domtasks.is_on_task(GPU):
         # initialize reference on CPU
         op_init = Analytic(variables={reference: r_2d})
         op_init.discretize()
         op_init.setup()
         op_init.apply(simu)
         # An empty operator for velocity
-        op = Poisson(velocity=velocity, vorticity=vort,
+        op = Poisson(output_field=velocity, input_field=vort,
                      discretization=r_2d)
         op.discretize()
         op.setup()
@@ -680,7 +679,7 @@ def test_distribute_inter_2d():
     red.apply(simu)
     red.wait()
 
-    if domTasks.isOnTask(GPU):
+    if domtasks.is_on_task(GPU):
         toporef = op.variables[velocity]
         vd = velocity.discretize(toporef)
         wd = velocity.discretize(toporef)
diff --git a/HySoP/hysop/operator/velocity_correction.py b/HySoP/hysop/operator/velocity_correction.py
index aa1eb885d..088eabd87 100755
--- a/HySoP/hysop/operator/velocity_correction.py
+++ b/HySoP/hysop/operator/velocity_correction.py
@@ -8,7 +8,7 @@ Operator to shift velocity to fit with a required input flowrate.
 from hysop.constants import debug
 from hysop.operator.discrete.velocity_correction import VelocityCorrection_D
 from hysop.operator.computational import Computational
-from hysop.domain.subsets.control_box import ControlBox
+from hysop.domain.control_box import ControlBox
 from hysop.operator.continuous import opsetup
 
 
diff --git a/HySoP/hysop/tools/io_utils.py b/HySoP/hysop/tools/io_utils.py
index e838752cb..f6c77076c 100644
--- a/HySoP/hysop/tools/io_utils.py
+++ b/HySoP/hysop/tools/io_utils.py
@@ -286,7 +286,7 @@ class XMF(object):
 
         Parameters
         -----------
-        topo : hysop.mpi.topology.Cartesian
+        topo : :class:`hysop.mpi.topology.Cartesian`
              used as reference to define local and global meshes in xdmf file.
         dataset_names : list
             all datasets names
@@ -296,7 +296,7 @@ class XMF(object):
             current time
         filename : string
             name of the hdf file which contains datas for the current process.
-        subset : hysop.domain.subsets.subset.Subset, optional
+        subset : :class:`hysop.domain.subsets.Subset`, optional
             to define a grid only on this subset.
             If None, grid on the whole domain (from topo)
 
diff --git a/HySoP/hysop/tools/parameters.py b/HySoP/hysop/tools/parameters.py
index 2cc89f445..860c639c7 100644
--- a/HySoP/hysop/tools/parameters.py
+++ b/HySoP/hysop/tools/parameters.py
@@ -10,7 +10,7 @@ from hysop.constants import DEFAULT_TASK_ID
 
 
 class MPIParams(namedtuple('MPIParams', ['comm', 'task_id',
-                                           'rank', 'on_task'])):
+                                         'rank', 'on_task'])):
     """
     Struct to save mpi parameters :
     - comm : parent mpi communicator (default = main_comm)
@@ -27,10 +27,10 @@ class MPIParams(namedtuple('MPIParams', ['comm', 'task_id',
     ---------
 
     op = SomeOperator(..., task_id=1)
-    if op.isOnTask():
+    if op.is_on_task():
        ...
 
-    'isOnTask' will return MPIParams.on_task value for op
+    'is_on_task' will return MPIParams.on_task value for op
     and tell if the current operator belongs to the current process
     mpi task.
     """
@@ -41,7 +41,7 @@ class MPIParams(namedtuple('MPIParams', ['comm', 'task_id',
         else:
             rank = MPI.UNDEFINED
         return super(MPIParams, cls).__new__(cls, comm, task_id,
-                                              rank, on_task)
+                                             rank, on_task)
 
 
 import hysop.tools.numpywrappers as npw
diff --git a/HySoP/hysop/tools/remeshing_formula_parsing.py b/HySoP/hysop/tools/remeshing_formula_parsing.py
index a3616178b..cb158d933 100644
--- a/HySoP/hysop/tools/remeshing_formula_parsing.py
+++ b/HySoP/hysop/tools/remeshing_formula_parsing.py
@@ -7,108 +7,115 @@ hysop.numerics.remeshing module or in OpenCL code in
 hysop/gpu/cl_src/remeshing/weights*
 """
 import re
-import sympy as sp
+try:
+    import sympy as sp
 
-# Weights names
-weights_names = ['alpha',
-                 'beta',
-                 'gamma',
-                 'delta',
-                 'eta',
-                 'zeta',
-                 'theta',
-                 'iota',
-                 'kappa',
-                 'mu']
+    # Weights names
+    weights_names = ['alpha',
+                     'beta',
+                     'gamma',
+                     'delta',
+                     'eta',
+                     'zeta',
+                     'theta',
+                     'iota',
+                     'kappa',
+                     'mu']
 
-
-def parse(f, fac=1, vec=False, toOpenCL=True, CLBuiltins=False, keep=False):
-    """
-    Parsing function.
-    @param f : functions to parse as string
-    @param fac : numeric factor for all formulas
-    @param vec : is OpenCL output is generated to use vector builtin types
-    @param toOpenCL : is OpenCL output
-    @param CLBuiltins : is OpenCL output uses fma builtin function
-    @param keep : low parsing
-    """
-    assert not (vec and not toOpenCL), "Vector works only in OpenCL parsing"
-    assert not (CLBuiltins and not toOpenCL),\
-        "CLBuiltins only in OpenCL parsing"
-    t = "float__N__" if vec else "float"
-    cteEnd = ".0" if toOpenCL else "."
-    res = ""
-    # Split each line
-    fl = f.split('\n')
-    # sympy formulas
-    y = sp.symbols('y')
-    print (y)
-    sw = [None] * f.count(';')
-    i = 0
-    for wl in fl:
-        if len(wl) > 2:
-            # replace pow
-            power = re.search('pow\(y, ([0-9]+)\)', wl)
-            if power is not None:
-                np = "y" + "*y" * (int(power.group(1)) - 1)
-                wl = wl.replace(power.group(0), np)
-            sw[i] = '('
-            sw[i] += str(sp.horner(eval(wl.split(';')[0].split('=')[1]) * fac))
-            sw[i] += ')/' + str(fac)
-            i += 1
-    for i, s in enumerate(sw):
-        if not keep:
-            if toOpenCL:
-                res += "inline " + t + " "
-                res += weights_names[i] + "(" + t + " y){\n"
-                res += '  return '
+    def parse(f, fac=1, vec=False, toOpenCL=True,
+              CLBuiltins=False, keep=False):
+        """
+        Parsing function.
+        @param f : functions to parse as string
+        @param fac : numeric factor for all formulas
+        @param vec : is OpenCL output is generated to use vector builtin types
+        @param toOpenCL : is OpenCL output
+        @param CLBuiltins : is OpenCL output uses fma builtin function
+        @param keep : low parsing
+        """
+        msg = 'Vector works only in OpenCL parsing'
+        assert not (vec and not toOpenCL), msg
+        assert not (CLBuiltins and not toOpenCL),\
+            "CLBuiltins only in OpenCL parsing"
+        t = "float__N__" if vec else "float"
+        cteEnd = ".0" if toOpenCL else "."
+        res = ""
+        # Split each line
+        fl = f.split('\n')
+        # sympy formulas
+        y = sp.symbols('y')
+        print (y)
+        sw = [None] * f.count(';')
+        i = 0
+        for wl in fl:
+            if len(wl) > 2:
+                # replace pow
+                power = re.search('pow\(y, ([0-9]+)\)', wl)
+                if power is not None:
+                    np = "y" + "*y" * (int(power.group(1)) - 1)
+                    wl = wl.replace(power.group(0), np)
+                sw[i] = '('
+                sw[i] += str(sp.horner(eval(wl.split(';')[0].split('=')[1]) * fac))
+                sw[i] += ')/' + str(fac)
+                i += 1
+        for i, s in enumerate(sw):
+            if not keep:
+                if toOpenCL:
+                    res += "inline " + t + " "
+                    res += weights_names[i] + "(" + t + " y){\n"
+                    res += '  return '
+                else:
+                    res += 'lambda y, s: s * '
+                res += '('
+                # replace y**n
+                power = re.findall('y\*\*[0-9]+', s)
+                if power is not None:
+                    for pw in power:
+                        n = int(pw.split('**')[1])
+                        npower = 'y' + "*y" * (n - 1)
+                        s = s.replace(pw, npower)
+                s = s.replace(' ', '')
+                if CLBuiltins:
+                    s = createFMA(s)
+                # From integers to floats
+                s = re.sub(r"(?P<id>[0-9]+)", r"\g<id>" + cteEnd, s)
+                s = s.replace('*', ' * ')
+                s = s.replace('/', ' / ')
+                s = s.replace('+', ' + ')
+                s = s.replace('-', ' - ')
+                s = s.replace('( - ', '(-')
+                s = s.replace('  ', ' ')
+                s = s.replace(", - ", ", -")
+                res += s + ')'
+                if toOpenCL:
+                    res += ";}"
+                if i < len(sw) - 1:
+                    res += "\n"
             else:
-                res += 'lambda y, s: s * '
-            res += '('
-            # replace y**n
-            power = re.findall('y\*\*[0-9]+', s)
-            if power is not None:
-                for pw in power:
-                    n = int(pw.split('**')[1])
-                    npower = 'y' + "*y" * (n - 1)
-                    s = s.replace(pw, npower)
-            s = s.replace(' ', '')
-            if CLBuiltins:
-                s = createFMA(s)
-            # From integers to floats
-            s = re.sub(r"(?P<id>[0-9]+)", r"\g<id>" + cteEnd, s)
-            s = s.replace('*', ' * ')
-            s = s.replace('/', ' / ')
-            s = s.replace('+', ' + ')
-            s = s.replace('-', ' - ')
-            s = s.replace('( - ', '(-')
-            s = s.replace('  ', ' ')
-            s = s.replace(", - ", ", -")
-            res += s + ')'
-            if toOpenCL:
-                res += ";}"
-            if i < len(sw) - 1:
-                res += "\n"
-        else:
-            res += "w[{0}] = ".format(i)
-            # replace y**n
-            power = re.findall('y\*\*[0-9]+', s)
-            if power is not None:
-                for pw in power:
-                    n = int(pw.split('**')[1])
-                    npower = 'y' + "*y" * (n - 1)
-                    s = s.replace(pw, npower)
-            # From integers to floats
-            s = re.sub(r"(?P<id>[0-9]+)", r"\g<id>.", s)
-            s = s.replace('*', ' * ')
-            s = s.replace('/', ' / ')
-            s = s.replace('+', ' + ')
-            s = s.replace('-', ' - ')
-            s = s.replace('( - ', '(-')
-            s = s.replace('  ', ' ')
-            s = s.replace(", - ", ", -")
-            res += s + "\n"
-    return res
+                res += "w[{0}] = ".format(i)
+                # replace y**n
+                power = re.findall('y\*\*[0-9]+', s)
+                if power is not None:
+                    for pw in power:
+                        n = int(pw.split('**')[1])
+                        npower = 'y' + "*y" * (n - 1)
+                        s = s.replace(pw, npower)
+                # From integers to floats
+                s = re.sub(r"(?P<id>[0-9]+)", r"\g<id>.", s)
+                s = s.replace('*', ' * ')
+                s = s.replace('/', ' / ')
+                s = s.replace('+', ' + ')
+                s = s.replace('-', ' - ')
+                s = s.replace('( - ', '(-')
+                s = s.replace('  ', ' ')
+                s = s.replace(", - ", ", -")
+                res += s + "\n"
+        return res
+
+except:
+    msge = 'Sympy not available - remeshing formula parsing will not work.'
+    msge += 'If you need parsing, try "pip install sympy" and reinstall hysop.'
+    print msge
 
 
 def createFMA(s):
diff --git a/HySoP/hysop/tools/tests/test_formula_parsing.py b/HySoP/hysop/tools/tests/test_formula_parsing.py
index acd9fdad5..1f093ec1e 100644
--- a/HySoP/hysop/tools/tests/test_formula_parsing.py
+++ b/HySoP/hysop/tools/tests/test_formula_parsing.py
@@ -1,5 +1,3 @@
-from hysop.tools.remeshing_formula_parsing import parse
-
 m4p = """
 w[0] = (-1 + (2 - y) * y) * y / 2;
 w[1] = 1 + (-5 + 3 * y) * y * y / 2;
@@ -81,15 +79,19 @@ l63 += """* y) * y) * y / 720;
 w[7] = (-145 + (367 + (-311 + 89 * y) * y) * y) * pow(y, 4) / 720;
 """
 
+try:
+    from hysop.tools.remeshing_formula_parsing import parse
 
-def test_parsing_toPython():
-    assert m4p_python == parse(m4p, 2, toOpenCL=False)
+    def test_parsing_toPython():
+        assert m4p_python == parse(m4p, 2, toOpenCL=False)
 
+    def test_parsing_toOpenCL():
+        assert m4p_cl_novec == parse(m4p, 2, vec=False, toOpenCL=True)
+        assert m4p_cl == parse(m4p, 2, vec=True, toOpenCL=True)
+        assert m4p_cl_builtin == \
+            parse(m4p, 2, vec=True, toOpenCL=True, CLBuiltins=True)
+        res = parse(l63, 720, vec=True, toOpenCL=True, CLBuiltins=True)
+        assert l6_cl_builtin == res
 
-def test_parsing_toOpenCL():
-    assert m4p_cl_novec == parse(m4p, 2, vec=False, toOpenCL=True)
-    assert m4p_cl == parse(m4p, 2, vec=True, toOpenCL=True)
-    assert m4p_cl_builtin == \
-        parse(m4p, 2, vec=True, toOpenCL=True, CLBuiltins=True)
-    assert l6_cl_builtin == parse(l63, 720,
-                                  vec=True, toOpenCL=True, CLBuiltins=True)
+except:
+    pass
-- 
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