Rheolef  7.1
an efficient C++ finite element environment
stokes_cavity.cc
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1 #include "rheolef.h"
26 using namespace rheolef;
27 using namespace std;
28 #include "cavity.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 }
rheolef::div
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
Definition: field_expr_terminal.h:1031
form
see the form page for the full documentation
rheolef::catchmark
see the catchmark page for the full documentation
Definition: catchmark.h:67
field
see the field page for the full documentation
rheolef::field
field_basic< Float > field
see the field page for the full documentation
Definition: field.h:419
rheolef::integrate
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
problem_mixed
see the problem_mixed page for the full documentation
space
see the space page for the full documentation
rheolef.h
rheolef - reference manual
rheolef::ddot
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
a
Definition: diffusion_isotropic.h:25
rheolef::environment
see the environment page for the full documentation
Definition: environment.h:115
rheolef
This file is part of Rheolef.
Definition: compiler_eigen.h:37
test
see the test page for the full documentation
u
Definition: leveque.h:25
cavity.h
The driven cavity benchmark: 2D boundary conditions.
rheolef::D
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.
Definition: field_expr_terminal.h:969
u
Float u(const point &x)
Definition: transmission_error.cc:26
mkgeo_ball.b
b
Definition: mkgeo_ball.sh:152
main
int main(int argc, char **argv)
Definition: stokes_cavity.cc:29
cavity::velocity_space
static space velocity_space(const geo &omega, string approx)
Definition: cavity.h:26
trial
see the test page for the full documentation
cavity::velocity_field
static field velocity_field(const space &Xh, Float alpha=1)
Definition: cavity.h:37
rheolef::dout
odiststream dout(cout)
see the diststream page for the full documentation
Definition: diststream.h:430
rheolef::std
Definition: vec_expr_v2.h:391
geo
see the geo page for the full documentation