Rheolef  7.2
an efficient C++ finite element environment
streamf_cavity.cc

The stream function for the driven cavity benchmark.

The stream function for the driven cavity benchmark

#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)))
form b = (d==3) ? integrate (dot(curl(u),phi))
field lh = b*uh;
problem p (a);
p.solve (lh, psi_h);
dout << catchmark("psi") << psi_h;
}
field lh(Float epsilon, Float t, const test &v)
Float phi(const point &nu, Float a, Float b)
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 problem 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:121
see the space page for the full documentation
see the test page for the full documentation
see the test page for the full documentation
point u(const point &x)
rheolef::details::is_vec dot
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 grad(const Expr &expr)
grad(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::curl > >::type curl(const Expr &expr)
curl(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
int main(int argc, char **argv)
static field streamf_field(space Ph)
Definition: cavity.h:53
static space streamf_space(geo omega, string approx)
Definition: cavity.h:42
Definition: sphere.icc:25
Definition: phi.h:25
Definition: leveque.h:25