convect_hdg_error.cc

Convection-diffusion equation by the hybrid discontinuous Galerkin method

#include "rheolef.h"
using namespace rheolef;
using namespace std;
#include "rotating-hill-statio.h"
int main (int argc, char **argv) {
environment rheolef (argc,argv);
Float tol = (argc > 1) ? atof(argv[1]) : 1e+38;
bool dump = (argc > 2);
Float nu;
field phi_h;
din >> catchmark("nu") >> nu
>> catchmark("phi") >> phi_h;
space Xh = phi_h.get_space();
geo omega = phi_h.get_geo();
size_t d = Xh.get_geo().dimension();
size_t k = Xh.degree();
integrate_option iopt;
iopt.set_family(integrate_option::gauss);
iopt.set_order(2*k+1);
Float err_l2 = sqrt(integrate (omega, sqr(phi_h-phi(d,nu)), iopt));
basis b1 = Xh.get_basis();
b1.reset_family_index (k+1);
space Xh1 (omega, b1);
field eh = interpolate (Xh1, phi_h-phi(d,nu));
Float err_linf = eh.max_abs();
Float err_h1 = sqrt(integrate (omega, norm2(grad_h(eh)), iopt)
+ integrate (omega.sides(), (1/h_local())*sqr(jump(eh)), iopt));
derr << "err_l2 = " << err_l2 << endl
<< "err_linf = " << err_linf << endl
<< "err_h1 = " << err_h1 << endl;
if (dump) {
field pi_h_phi = interpolate (Xh, phi(d,nu));
dout << catchmark("phi") << phi_h
<< catchmark("phi_e") << pi_h_phi;
}
return (err_linf <= tol) ? 0 : 1;
}
Xh1
space_basic< T, M > Xh1
Definition: field_expr.h:220
rheolef::catchmark
see the catchmark page for the full documentation
Definition: catchmark.h:67
rheolef::integrate_option::set_order
void set_order(size_t r)
Definition: integrate_option.h:254
field
see the field page for the full documentation
nu
Definition: nu.h:26
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
dump
verbose clean transpose logscale grid shrink ball stereo iso volume skipvtk deformation fastfieldload lattice reader_on_stdin color format format format format format format format format format format format format format format format format format format dump
Definition: iorheo-members.h:119
rheolef::h_local
details::field_expr_v2_nonlinear_terminal_function< details::h_local_pseudo_function< Float > > h_local()
h_local: see the expression page for the full documentation
Definition: field_expr_terminal.h:527
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
rheolef::norm2
T norm2(const vec< T, M > &x)
norm2(x): see the expression page for the full documentation
Definition: vec.h:379
rheolef::integrate_option
see the integrate_option page for the full documentation
Definition: integrate_option.h:125
main
int main(int argc, char **argv)
Definition: convect_hdg_error.cc:29
rheolef::integrate_option::gauss
@ gauss
Definition: integrate_option.h:132
basis
see the basis page for the full documentation
rheolef::interpolate
field_basic< T, M > interpolate(const space_basic< T, M > &V2h, const field_basic< T, M > &u1h)
see the interpolate page for the full documentation
Definition: interpolate.cc:233
eh
field_basic< T, M > eh
Definition: form_field_expr.h:58
rheolef::din
idiststream din
see the diststream page for the full documentation
Definition: diststream.h:427
rheolef::environment
see the environment page for the full documentation
Definition: environment.h:115
rheolef
This file is part of Rheolef.
Definition: compiler_eigen.h:37
rheolef::derr
odiststream derr(cerr)
see the diststream page for the full documentation
Definition: diststream.h:436
Float
see the Float page for the full documentation
mkgeo_ball.d
d
Definition: mkgeo_ball.sh:154
rotating-hill-statio.h
rheolef::integrate_option::set_family
void set_family(family_type type)
Definition: integrate_option.h:260
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
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