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combustion_error.cc
Go to the documentation of this file.
#include "rheolef.h"
using namespace rheolef;
using namespace std;
#include "combustion_exact.icc"
int main(int argc, char**argv) {
environment rheolef (argc,argv);
bool is_upper = (argc > 1) && (argv[1][0] == '1');
bool is_crit = (argc > 1) && (argv[1][0] == 'c');
Float tol = (argc > 2) ? atof(argv[2]) : 1e-15;
Float lambda_h;
field uh;
din >> catchmark("lambda") >> lambda_h
>> catchmark("u") >> uh;
Float lambda = (is_crit ? lambda_c() : lambda_h);
const geo& omega = uh.get_geo();
const space& Xh = uh.get_space();
field pi_h_u = lazy_interpolate (Xh, u_exact(lambda,is_upper));
field eh = pi_h_u - uh;
integrate_option iopt;
iopt.set_family(integrate_option::gauss);
iopt.set_order(2*Xh.degree()+1);
Float err_l2
= sqrt(integrate(omega, norm2(uh - u_exact(lambda,is_upper)), iopt));
Float err_h1
= sqrt(integrate(omega, norm2(grad(uh)-grad_u(lambda,is_upper)), iopt));
Float err_linf = eh.max_abs();
dout << "err_linf = " << err_linf << endl
<< "err_l2 = " << err_l2 << endl
<< "err_h1 = " << err_h1 << endl;
return (err_h1 < tol) ? 0 : 1;
}
Float
see the Float page for the full documentation
field
see the field page for the full documentation
geo
see the geo page for the full documentation
rheolef::catchmark
see the catchmark page for the full documentation
Definition catchmark.h:67
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::gauss
@ gauss
Definition integrate_option.h:132
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
space
see the space page for the full documentation
combustion_exact.icc
The combustion problem – its exact solution.
main
int main()
Definition field2bb.cc:58
lambda_c
Float lambda_c()
Definition lambda_c.h:44
rheolef
This file is part of Rheolef.
Definition compiler_eigen.h:39
rheolef::grad
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
Definition field_expr_terminal.h:930
rheolef::lazy_interpolate
field_basic< T, M > lazy_interpolate(const space_basic< T, M > &X2h, const field_basic< T, M > &u1h)
see the interpolate page for the full documentation
Definition field.h:871
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
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
grad_u
Definition combustion_exact.icc:34
lambda
Definition yield_slip_circle.h:34
u_exact
Definition interpolate_RTk_polynom.icc:125