Rheolef  7.2
an efficient C++ finite element environment
 
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stokes_cavity.cc

The Stokes problem on the driven cavity benchmark – the Taylor-Hood element.

The Stokes problem on the driven cavity benchmark – the Taylor-Hood element

#include "rheolef.h"
using namespace rheolef;
using namespace std;
#include "cavity.h"
int main(int argc, char**argv) {
environment rheolef (argc, argv);
geo omega (argv[1]);
space Xh = cavity::velocity_space (omega, "P2");
space Qh (omega, "P1");
trial u (Xh); test v (Xh), q (Qh);
form a = integrate (2*ddot(D(u),D(v)));
form b = integrate (-div(u)*q);
field ph (Qh, 0);
problem_mixed stokes (a, b);
stokes.solve (field(Xh,0), field(Qh,0), uh, ph);
dout << catchmark("u") << uh
<< catchmark("p") << ph;
}
The driven cavity benchmark: 2D boundary conditions.
see the field page for the full documentation
see the form page for the full documentation
see the geo page for the full documentation
see the problem_mixed page for the full documentation
see the catchmark page for the full documentation
Definition catchmark.h:67
see the environment page for the full documentation
see the space page for the full documentation
see the test page for the full documentation
see the test page for the full documentation
int main()
Definition field2bb.cc:58
This file is part of Rheolef.
STL namespace.
rheolef - reference manual
static space velocity_space(const geo &omega, string approx)
Definition cavity.h:26
static field velocity_field(const space &Xh, Float alpha=1)
Definition cavity.h:37
Definition leveque.h:25