streamf_contraction.cc

The stream function for the contraction benchmark

#include "rheolef.h"
using namespace rheolef;
using namespace std;
#include "contraction.h"
int main (int argc, char** argv) {
environment rheolef (argc, argv);
field uh;
din >> uh;
const geo& omega = uh.get_geo();
size_t d = omega.dimension();
Float c = omega.xmax()[1];
string approx = "P" + itos(uh.get_space().degree());
space Ph = contraction::streamf_space (omega, approx);
field psi_h = contraction::streamf_field (Ph);
integrate_option iopt;
iopt.ignore_sys_coord = true;
const space& Xh = uh.get_space();
trial psi (Ph), u (Xh);
test xi (Ph), v (Xh);
form a = (d == 3) ? integrate (ddot(grad(psi), grad(xi)))
: integrate ( dot(grad(psi), grad(xi)), iopt);
field lh = integrate (dot(uh,bcurl(xi)));
problem p (a);
p.solve (lh, psi_h);
dout << catchmark("psi") << psi_h;
}
contraction::streamf_field
static field streamf_field(space Ph)
Definition: contraction.h:75
rheolef::bcurl
std::enable_if< details::is_field_expr_v2_variational_arg< Expr >::value,details::field_expr_v2_variational_curl< Expr >>::type bcurl(const Expr &expr)
Definition: field_expr_variational_terminal.h:537
contraction.h
The contraction geometry: boundary conditions.
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
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
space
see the space page for the full documentation
mkgeo_ball.c
c
Definition: mkgeo_ball.sh:153
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
contraction::streamf_space
static space streamf_space(geo omega, string approx)
Definition: contraction.h:57
rheolef.h
rheolef - reference manual
main
int main(int argc, char **argv)
Definition: streamf_contraction.cc:29
p
Definition: sphere.icc:25
rheolef::integrate_option
see the integrate_option page for the full documentation
Definition: integrate_option.h:125
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
rheolef::integrate_option::ignore_sys_coord
bool ignore_sys_coord
Definition: integrate_option.h:168
Float
see the Float page for the full documentation
mkgeo_ball.d
d
Definition: mkgeo_ball.sh:154
u
Float u(const point &x)
Definition: transmission_error.cc:26
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
geo
see the geo page for the full documentation