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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)));
integrate_option iopt;
iopt.invert = true;
form inv_ab = integrate (2*ddot(D(ub),D(vb)), iopt);
form c = bb*inv_ab*trans(bb);
field u1h = contraction::velocity_field (X1h);
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;
}
field
see the field page for the full documentation
form
see the form page for the full documentation
geo
see the geo page for the full documentation
problem_mixed
see the problem_mixed page for the full documentation
rheolef::catchmark
see the catchmark page for the full documentation
Definition catchmark.h:67
rheolef::environment
see the environment page for the full documentation
Definition environment.h:121
rheolef::integrate_option
see the integrate_option page for the full documentation
Definition integrate_option.h:125
rheolef::integrate_option::invert
bool invert
Definition integrate_option.h:168
space
see the space page for the full documentation
test
see the test page for the full documentation
trial
see the test page for the full documentation
contraction.h
The contraction geometry: boundary conditions.
main
int main()
Definition field2bb.cc:58
rheolef
This file is part of Rheolef.
Definition compiler_eigen.h:39
std
STL namespace.
rheolef.h
rheolef - reference manual
contraction::velocity_space
static space velocity_space(geo omega, string approx)
Definition contraction.h:41
contraction::velocity_field
static field velocity_field(space Xh)
Definition contraction.h:49
p
Definition sphere.icc:25