transport_dg.cc
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#include "rheolef.h"
using namespace rheolef;
using namespace std;
int main(int argc, char**argv) {
environment rheolef (argc, argv);
geo omega (argv[1]);
space Xh (omega, argv[2]);
Float alpha = (argc > 3) ? atof(argv[3]) : 1;
Float sigma = (argc > 4) ? atof(argv[4]) : 3;
point u (1,0,0);
trial phi (Xh); test psi (Xh);
form ah = integrate (dot(u,grad_h(phi))*psi + sigma*phi*psi)
+ integrate ("boundary", max(0, -dot(u,normal()))*phi*psi)
+ integrate ("internal_sides",
- dot(u,normal())*jump(phi)*average(psi)
+ 0.5*alpha*abs(dot(u,normal()))*jump(phi)*jump(psi));
field lh = integrate ("boundary", max(0, -dot(u,normal()))*psi);
field phi_h(Xh);
problem p (ah);
p.solve (lh, phi_h);
dout << catchmark("sigma") << sigma << endl
<< catchmark("phi") << phi_h;
}
form
see the form page for the full documentation
bdf::alpha
Float alpha[pmax+1][pmax+1]
Definition: bdf.icc:28
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::normal
details::field_expr_v2_nonlinear_terminal_function< details::normal_pseudo_function< Float > > normal()
normal: see the expression page for the full documentation
Definition: field_expr_terminal.h:439
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
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.h
rheolef - reference manual
p
Definition: sphere.icc:25
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
sigma
Definition: mosolov_exact_circle.h:40
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
Float
see the Float page for the full documentation
main
int main(int argc, char **argv)
Definition: transport_dg.cc:28
point
see the point page for the full documentation
u
Float u(const point &x)
Definition: transmission_error.cc:26
rheolef::grad_h
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_h(const Expr &expr)
grad_h(uh): see the expression page for the full documentation
Definition: field_expr_terminal.h:949
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::std
Definition: vec_expr_v2.h:391
geo
see the geo page for the full documentation