Rheolef  7.1
an efficient C++ finite element environment
streamf_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  field uh;
32  din >> uh;
33  string approx = "P" + itos(uh.get_space().degree());
34  space Ph = cavity::streamf_space (uh.get_geo(), approx);
35  space Xh = uh.get_space();
36  size_t d = uh.get_geo().dimension();
37  trial u (Xh), psi (Ph); test phi (Ph);
38  form a = (d == 3) ? integrate (ddot(grad(psi),grad(phi)))
39  : integrate ( dot(grad(psi),grad(phi)));
40  form b = (d==3) ? integrate (dot(curl(u),phi))
41  : integrate (curl(u)*phi);
42  field psi_h = cavity::streamf_field (Ph);
43  field lh = b*uh;
44  problem p (a);
45  p.solve (lh, psi_h);
46  dout << catchmark("psi") << psi_h;
47 }
form
see the form page for the full documentation
rheolef::catchmark
see the catchmark page for the full documentation
Definition: catchmark.h:67
rheolef::dot
rheolef::std enable_if ::type dot const Expr1 expr1, const Expr2 expr2 dot(const Expr1 &expr1, const Expr2 &expr2)
dot(x,y): see the expression page for the full documentation
Definition: vec_expr_v2.h:415
field
see the field page for the full documentation
phi
Definition: phi.h:25
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
cavity::streamf_field
static field streamf_field(space Ph)
Definition: cavity.h:53
phi
Float phi(const point &nu, Float a, Float b)
Definition: burgers_flux_godunov.icc:25
space
see the space page for the full documentation
rheolef::grad
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 grad(const Expr &expr)
grad(uh): see the expression page for the full documentation
Definition: field_expr_terminal.h:911
rheolef.h
rheolef - reference manual
p
Definition: sphere.icc:25
cavity::streamf_space
static space streamf_space(geo omega, string approx)
Definition: cavity.h:42
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::din
idiststream din
see the diststream page for the full documentation
Definition: diststream.h:427
psi
Definition: interpolate_RTk_polynom.icc:34
rheolef::environment
see the environment page for the full documentation
Definition: environment.h:115
lh
field lh(Float epsilon, Float t, const test &v)
Definition: burgers_diffusion_operators.icc:25
rheolef
This file is part of Rheolef.
Definition: compiler_eigen.h:37
test
see the test page for the full documentation
problem
see the problem page for the full documentation
u
Definition: leveque.h:25
rheolef::curl
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::curl >>::type curl(const Expr &expr)
curl(uh): see the expression page for the full documentation
Definition: field_expr_terminal.h:1089
cavity.h
The driven cavity benchmark: 2D boundary conditions.
mkgeo_ball.d
d
Definition: mkgeo_ball.sh:154
u
Float u(const point &x)
Definition: transmission_error.cc:26
mkgeo_ball.b
b
Definition: mkgeo_ball.sh:152
trial
see the test page for the full documentation
rheolef::dout
odiststream dout(cout)
see the diststream page for the full documentation
Definition: diststream.h:430
rheolef::itos
std::string itos(std::string::size_type i)
itos: see the rheostream page for the full documentation
rheolef::std
Definition: vec_expr_v2.h:391
main
int main(int argc, char **argv)
Definition: streamf_cavity.cc:29