Add 2D demo real time rendering

Examples/demo_2D.cl

+__kernel void initScalar(__global float* scalar,
+			 float4 minPos,
+			 float4 size)
+{
+  uint gidX = get_global_id(0);
+  uint gidY = get_global_id(1);
+  uint i;
+  float2 pos, center=(float2)(0.5, 0.75),center2=(float2)(0.75, 0.25),center3=(float2)(0.4, 0.4),center4=(float2)(0.6, 0.5);
+  for(i=gidX; i<WIDTH; i+=WGN)
+    {
+      pos = (float2)(i*size.x, gidY*size.y);
+      scalar[i+gidY*(WIDTH)] = ((distance(pos, center)<0.15) ? 1.0 : ((distance(pos, center2)<0.15) ? 2.0 : ((fabs(center3.x-pos.x)+fabs(center3.y-pos.y)<0.1) ? 3.0 : ((10.0*maxmag(fabs(center4.x-pos.x),fabs(center4.y-pos.y))<0.8) ? 4.0 : 0.0))));
+    }
+}
+
+#define PI (float)M_PI
+
+__kernel void initVelocity(__global float* veloX,__global float* veloY,
+			       float4 minPos,
+			       float4 size)
+{
+  uint gidX = get_global_id(0);
+  uint gidY = get_global_id(1);
+  uint i;
+  float v;
+  for(i=gidX; i<WIDTH; i+=WGN)
+    {
+      v = veloX[i+gidY*(WIDTH)] = -sin(i*size.x * PI)*sin(i*size.x * PI)*sin(gidY*size.y * PI * 2);
+      veloX[i+gidY*(WIDTH)] = v; // = Vx(x,y)
+      veloY[i+gidY*(WIDTH)] = -v;// = Vy(y,x) = -Vx(x,y)
+    }
+}
+
+__kernel void analyticVelocity(__global float* veloX,__global float* veloY,
+			       float t,
+			       float4 minPos,
+			       float4 size)
+{
+  uint gidX = get_global_id(0);
+  uint gidY = get_global_id(1);
+  uint i;
+  float v;
+  float time_term = cos(t*PI/3.0);
+  for(i=gidX; i<WIDTH; i+=WGN)
+    {
+      v = veloX[i+gidY*(WIDTH)] = -sin(i*size.x * PI)*sin(i*size.x * PI)*sin(gidY*size.y * PI * 2)*time_term;
+      veloX[i+gidY*(WIDTH)] = v; // = Vx(x,y)
+      veloY[i+gidY*(WIDTH)] = -v;// = Vy(y,x) = -Vx(x,y)
+    }
+}

Examples/demo_2D_real-time.py

+#!/bin/env python
+import time
+from parmepy.domain.box import Box
+from parmepy.gpu import PARMES_REAL_GPU, PARMES_DOUBLE_GPU
+from parmepy.fields.continuous import Field
+from parmepy.fields.analytical import AnalyticalField
+from parmepy.operator.advection import Advection
+from parmepy.problem.transport import TransportProblem
+from parmepy.operator.monitors.printer import Printer
+from parmepy.operator.analytic import Analytic
+from parmepy.gpu.QtRendering import QtOpenGLRendering
+import math
+import sys
+
+
+def run(nb=257):
+    dim = 2
+    boxLength = [1., 1.]
+    boxMin = [0., 0.]
+    nbElem = [nb, nb]
+
+    timeStep = 0.025
+    finalTime = 3.
+
+    ## Domain
+    box = Box(dim, length=boxLength, origin=boxMin)
+
+    ## Fields
+    scal = Field(domain=box, name='Scalar')
+    velo = Field(domain=box, name='Velocity', isVector=True)
+
+    ## Operators
+    advec = Advection(velo, scal,
+                      resolutions={velo: nbElem,
+                                   scal: nbElem},
+                      method='gpu_1k_m6prime',
+                      src=['./demo_2D.cl'],
+                      precision=PARMES_REAL_GPU,
+                      )
+    velocity = Analytic(velo, None,
+                        resolutions={velo: nbElem, },
+                        method='gpu',
+                        src=['./demo_2D.cl'],
+                        )
+    render = QtOpenGLRendering(scal)
+
+    ##Problem
+    pb = TransportProblem([velocity, advec],
+                          monitors=[render])
+
+    ## Setting solver to Problem
+    pb.setUp(finalTime, timeStep)
+
+    ## Solve problem
+    pb.solve()
+
+
+if __name__ == "__main__":
+    run(1025)
+