VTKFIG  0.20.20181114
Easy VTK based in situ visualization
examples/example-simplexquiver2d.cxx

Vector function on 2D simplex grid

#include "vtkMath.h"
#include "vtkfigFrame.h"
#include "vtkfigTools.h"
double xscale=1;
double yscale=1;
inline double G(double x,double y, double t)
{
x=x/xscale;
y=y/yscale;
return exp(-(x*x+y*y))*sin(t+x)*cos(y-t);
}
inline double dGdx(double x,double y, double t)
{
x=x/xscale;
y=y/yscale;
return xscale*cos(y-t)*exp(-(x*x+y*y))*(cos(t+x)-2*x*sin(t+x));
}
inline double dGdy(double x,double y, double t)
{
x=x/xscale;
y=y/yscale;
return yscale*sin(t+x)*exp(-(x*x+y*y))*(-2*y*cos(y-t) -sin(y-t));
}
int main(void)
{
size_t nspin=vtkfig::NSpin();
std::vector<double> inpoints;
for(double x = -2; x < 2; x+=0.03)
{
for(double y = -2; y < 2; y+=0.03)
{
inpoints.push_back(xscale*(x + vtkMath::Random(-.1, .1)));
inpoints.push_back(yscale*(y + vtkMath::Random(-.1, .1)));
}
}
std::vector<double>points;
std::vector<int>cells;
vtkfig::Delaunay2D(inpoints,points,cells);
int npoints=points.size()/2;
std::vector<double>values(npoints);
auto frame=vtkfig::Frame::New();
auto colors=vtkfig::RGBTable
{
{0.0, 0.3, 0.3, 1.0},
{0.5, 0.3, 1.0, 0.3},
{1.0, 1.0, 0.3, 0.3}
};
auto qcolors=vtkfig::RGBTable
{
{0.0, 0.0, 0.0, 0.0},
{1.0, 0.0, 0.0, 0.0}
};
std::vector<double> z(npoints);
std::vector<double> u(npoints);
std::vector<double> v(npoints);
double t=0;
double dt=0.1;
size_t ii=0;
double t0=(double)clock()/(double)CLOCKS_PER_SEC;
double i0=ii;
auto griddata=vtkfig::DataSet::New();
griddata->SetSimplexGrid(2,points,cells);
griddata->SetPointScalar(z ,"v");
griddata->SetPointVector(u,v ,"grad");
auto contour=vtkfig::ScalarView::New();
contour->SetData(griddata,"v");
contour->SetSurfaceRGBTable(colors,255);
contour->ShowIsolines(false);
auto quiver=vtkfig::VectorView::New();
quiver->SetData(griddata,"grad");
quiver->SetQuiverGrid(15,15);
contour->KeepXYAspect(false);
quiver->KeepXYAspect(false);
frame->AddFigure(contour);
frame->AddFigure(quiver);
while (ii<nspin)
{
for (size_t ipoint=0, ival=0;ipoint<points.size(); ipoint+=2,ival++)
{
z[ival]=G(points[ipoint+0],points[ipoint+1],t);
u[ival]=dGdx(points[ipoint+0],points[ipoint+1],t);
v[ival]=dGdy(points[ipoint+0],points[ipoint+1],t);
}
griddata->SetPointScalar(z ,"v");
griddata->SetPointVector(u,v ,"grad");
frame->Show();
if (ii==3)
frame->WritePNG("example-simplexquiver2d.png");
t+=dt;
double t1=(double)clock()/(double)CLOCKS_PER_SEC;
double i1=ii;
if (t1-t0>4.0)
{
printf("Frame rate: %.2f fps\n",(double)(i1-i0)/4.0);
t0=(double)clock()/(double)CLOCKS_PER_SEC;
i0=ii;
}
ii++;
}
}