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zalesak_circle_dg_error.cc
Go to the documentation of this file.
#include "rheolef.h"
using namespace rheolef;
using namespace std;
#include "zalesak_circle.h"
Float heaviside (const Float& x) { return (x <= 0) ? 0 : 1; }
int main(int argc, char**argv) {
environment rheolef (argc, argv);
size_t subdivide = (argc > 1) ? atoi(argv[1]) : 1;
Float tol = (argc > 2) ? atof(argv[2]) : 1e-12;
Float meas_gamma = phi_exact(0).perimeter();
branch event ("t","phi");
integrate_option iopt;
iopt.set_family ("equispaced");
iopt.set_order (subdivide);
dout << setprecision(numeric_limits<Float>::digits10)
<< "# meas_gamma = " << meas_gamma << endl
<< "# equispaced("<<subdivide<<")" << endl
<< "# t err_l1 v=(m-m0)/m0 m" << endl;
bool first = true;
Float t = 0, err_linf_l1 = 0, m0 = 0, v_max = 0;
field phi_h;
geo omega;
while (din >> event (t, phi_h)) {
omega = phi_h.get_geo();
Float err_l1 = integrate (omega, abs(compose(heaviside,phi_h)
- compose(heaviside,phi_exact(t))), iopt);
Float m = integrate (omega, 1. - compose(heaviside,phi_h), iopt);
if (first) {
m0 = m;
first = false;
}
Float v = (m-m0)/m0;
dout << t << " " << err_l1/meas_gamma
<< " " << v << " " << m << endl;
err_linf_l1 = max (err_linf_l1, err_l1/meas_gamma);
v_max = max (v_max, abs(v));
}
dout << "# omega.size = " << omega.size() << endl
<< "# omega.hmin = " << omega.hmin() << endl
<< "# err_linf_l1 = " << err_linf_l1 << endl
<< "# v_max = " << v_max << endl;
return (err_linf_l1 < tol && v_max < tol) ? 0 : 1;
}
Float
see the Float page for the full documentation
branch
see the branch page for the full documentation
field
see the field page for the full documentation
geo
see the geo page for the full documentation
rheolef::environment
see the environment page for the full documentation
Definition environment.h:121
rheolef::integrate_option
see the integrate_option page for the full documentation
Definition integrate_option.h:125
rheolef::integrate_option::set_family
void set_family(family_type type)
Definition integrate_option.h:260
rheolef::integrate_option::set_order
void set_order(size_t r)
Definition integrate_option.h:254
main
int main()
Definition field2bb.cc:58
rheolef
This file is part of Rheolef.
Definition compiler_eigen.h:39
rheolef::compose
std::enable_if< sizeof...(Exprs)>=3, details::field_expr_v2_nonlinear_node_nary< typenamedetails::function_traits< Function >::functor_type, typenamedetails::field_expr_v2_nonlinear_terminal_wrapper_traits< Exprs >::type... > >::type compose(const Function &f, const Exprs &... exprs)
see the compose page for the full documentation
Definition compose.h:247
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
std
STL namespace.
rheolef.h
rheolef - reference manual
phi_exact
Definition transport_dg2.h:30
phi_exact::perimeter
Float perimeter() const
Definition zalesak.h:82
zalesak_circle.h
The Zalesak full disk benchmark – the exact solution.
heaviside
Float heaviside(const Float &x)
Definition zalesak_circle_dg_error.cc:29