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streamf_cavity.cc
Go to the documentation of this file.
#include "rheolef.h"
using namespace rheolef;
using namespace std;
#include "cavity.h"
int main (int argc, char** argv) {
environment rheolef (argc, argv);
field uh;
din >> uh;
string approx = "P" + to_string(uh.get_space().degree());
space Ph = cavity::streamf_space (uh.get_geo(), approx);
space Xh = uh.get_space();
size_t d = uh.get_geo().dimension();
trial u (Xh), psi (Ph); test phi (Ph);
form a = (d == 3) ? integrate (ddot(grad(psi),grad(phi)))
: integrate ( dot(grad(psi),grad(phi)));
form b = (d==3) ? integrate (dot(curl(u),phi))
: integrate (curl(u)*phi);
field psi_h = cavity::streamf_field (Ph);
field lh = b*uh;
problem p (a);
p.solve (lh, psi_h);
dout << catchmark("psi") << psi_h;
}
lh
field lh(Float epsilon, Float t, const test &v)
Definition burgers_diffusion_operators.icc:25
cavity.h
The driven cavity benchmark: 2D boundary conditions.
field
see the field page for the full documentation
form
see the form page for the full documentation
problem
see the problem page for the full documentation
rheolef::catchmark
see the catchmark page for the full documentation
Definition catchmark.h:67
rheolef::environment
see the environment page for the full documentation
Definition environment.h:121
space
see the space page for the full documentation
test
see the test page for the full documentation
trial
see the test page for the full documentation
main
int main()
Definition field2bb.cc:58
rheolef
This file is part of Rheolef.
Definition compiler_eigen.h:39
rheolef::grad
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 grad(const Expr &expr)
grad(uh): see the expression page for the full documentation
Definition field_expr_terminal.h:930
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
rheolef::curl
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::curl > >::type curl(const Expr &expr)
curl(uh): see the expression page for the full documentation
Definition field_expr_terminal.h:1108
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:211
rheolef::dot
rheolef::std enable_if ::type dot const Expr1 expr1, const Expr2 expr2 dot(const Expr1 &expr1, const Expr2 &expr2)
Definition vec_expr_v2.h:415
std
STL namespace.
d
size_t d
Definition neumann-laplace-lambda.cc:28
rheolef.h
rheolef - reference manual
cavity::streamf_field
static field streamf_field(space Ph)
Definition cavity.h:53
cavity::streamf_space
static space streamf_space(geo omega, string approx)
Definition cavity.h:42
p
Definition sphere.icc:25
phi
Definition phi.h:25
psi
Definition interpolate_RTk_polynom.icc:34
u
Definition leveque.h:25