Rheolef  7.1
an efficient C++ finite element environment
stokes_cavity_3d.cc
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1 #include "rheolef.h"
26 using namespace rheolef;
27 using namespace std;
28 #include "cavity_3d.h"
29 int 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: 3D 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:104
odiststream dout(cout)
see the diststream page for the full documentation
Definition: diststream.h:430
field_basic< Float > field
see the field page for the full documentation
Definition: field.h:419
see the space page for the full documentation
see the test page for the full documentation
see the test page for the full documentation
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:202
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::is_field_convertible< 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::is_field_convertible< 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
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
Float u(const point &x)