Rheolef  7.2
an efficient C++ finite element environment
stokes_cavity.cc
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1
25#include "rheolef.h"
26using namespace rheolef;
27using namespace std;
28#include "cavity.h"
29int main(int argc, char**argv) {
30 environment rheolef (argc, argv);
31 geo omega (argv[1]);
32 space Xh = cavity::velocity_space (omega, "P2");
33 space Qh (omega, "P1");
34 trial u (Xh); test v (Xh), q (Qh);
35 form a = integrate (2*ddot(D(u),D(v)));
36 form b = integrate (-div(u)*q);
37 field uh = cavity::velocity_field (Xh, 1);
38 field ph (Qh, 0);
39 problem_mixed stokes (a, b);
40 stokes.solve (field(Xh,0), field(Qh,0), uh, ph);
41 dout << catchmark("u") << uh
42 << catchmark("p") << ph;
43}
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
Definition: environment.h:121
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::has_field_rdof_interface< Expr >::value, details::field_expr_v2_nonlinear_terminal_field< typenameExpr::scalar_type, typenameExpr::memory_type, details::differentiate_option::gradient > >::type D(const Expr &expr)
D(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
std::enable_if< details::has_field_rdof_interface< Expr >::value, details::field_expr_v2_nonlinear_terminal_field< typenameExpr::scalar_type, typenameExpr::memory_type, details::differentiate_option::divergence > >::type div(const Expr &expr)
div(uh): see the expression page for the full documentation
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
STL namespace.
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