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

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
odiststream dout(cout)
see the diststream page for the full documentation
Definition: diststream.h:467
field_basic< Float > field
see the field page for the full documentation
Definition: field.h:511
see the space page for the full documentation
see the test page for the full documentation
see the test page for the full documentation
point u(const point &x)
This file is part of Rheolef.
std::enable_if< details::is_field_expr_v2_nonlinear_arg< Expr >::value &&! is_undeterminated< Result >::value, Result >::type integrate(const geo_basic< T, M > &omega, const Expr &expr, const integrate_option &iopt, Result dummy=Result())
see the integrate page for the full documentation
Definition: integrate.h:211
std::enable_if< details::has_field_rdof_interface< Expr >::value,details::field_expr_v2_nonlinear_terminal_field< typename Expr::scalar_type,typename Expr::memory_type,details::differentiate_option::gradient >>::type D(const Expr &expr)
D(uh): see the expression page for the full documentation.
std::enable_if< details::has_field_rdof_interface< Expr >::value,details::field_expr_v2_nonlinear_terminal_field< typename Expr::scalar_type,typename Expr::memory_type,details::differentiate_option::divergence >>::type div(const Expr &expr)
div(uh): see the expression page for the full documentation
T ddot(const tensor_basic< T > &a, const tensor_basic< T > &b)
ddot(x,y): see the expression page for the full documentation
Definition: tensor.cc:278
rheolef - reference manual
int main(int argc, char **argv)
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