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

The Stokes problem on the driven cavity benchmark – the P1-bubble element.

The Stokes problem on the driven cavity benchmark – the P1-bubble element

#include "rheolef.h"
using namespace rheolef;
using namespace std;
#include "contraction.h"
int main(int argc, char**argv) {
environment rheolef (argc, argv);
geo omega (argv[1]);
space X1h = contraction::velocity_space (omega, "P1");
space Bh (omega, "bubble", "vector");
space Qh (omega, "P1");
trial u1 (X1h), ub (Bh), p (Qh);
test v1 (X1h), vb (Bh), q (Qh);
form b1 = integrate (-div(u1)*q);
form bb = integrate (-div(ub)*q);
form a1 = integrate (2*ddot(D(u1),D(v1)));
iopt.invert = true;
form inv_ab = integrate (2*ddot(D(ub),D(vb)), iopt);
form c = bb*inv_ab*trans(bb);
field ph (Qh, 0);
problem_mixed stokes (a1, b1, c);
stokes.solve (field(X1h,0), field(Qh,0), u1h, ph);
dout << catchmark("inv_lambda") << 0 << endl
<< catchmark("u") << u1h
<< catchmark("p") << ph;
}
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 integrate_option 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
The contraction geometry: boundary conditions.
int main()
Definition field2bb.cc:58
This file is part of Rheolef.
STL namespace.
rheolef - reference manual
static space velocity_space(geo omega, string approx)
Definition contraction.h:41
static field velocity_field(space Xh)
Definition contraction.h:49
Definition sphere.icc:25