Rheolef  7.2
an efficient C++ finite element environment
 
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stokes_cavity.cc
Go to the documentation of this file.
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
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.
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
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