Rheolef  7.1
an efficient C++ finite element environment
convect_error.cc
Go to the documentation of this file.
1 #include "rheolef.h"
26 using namespace rheolef;
27 using namespace std;
28 #include "rotating-hill.h"
29 int main (int argc, char **argv) {
30  environment rheolef (argc,argv);
31  Float tol = (argc > 1) ? atof(argv[1]) : 1e-10;
32  Float nu;
33  din >> catchmark("nu") >> nu;
34  branch get ("t","phi");
35  branch put ("t","phi_h","pi_h_phi");
36  derr << "# t\terror_l2\terror_linf" << endl;
37  field phi_h;
38  Float err_l2_l2 = 0;
39  Float err_linf_linf = 0;
40  for (Float t = 0, t_prec = 0; din >> get (t, phi_h); t_prec = t) {
41  const space& Xh = phi_h.get_space();
42  size_t d = Xh.get_geo().dimension();
43  field pi_h_phi = interpolate (Xh, phi(d,nu,t));
44  trial phi (Xh); test psi (Xh);
45  form m = integrate (phi*psi);
46  field eh = phi_h - pi_h_phi;
47  Float err_l2 = sqrt(m(eh,eh));
48  Float err_linf = eh.max_abs();
49  err_l2_l2 += sqr(err_l2)*(t - t_prec);
50  err_linf_linf = max(err_linf_linf, err_linf);
51  dout << put (t, phi_h, pi_h_phi);
52  derr << t << "\t" << err_l2 << "\t" << err_linf << endl;
53  }
54  derr << "# error_l2_l2 = " << sqrt(err_l2_l2) << endl;
55  derr << "# error_linf_linf = " << err_linf_linf << endl;
56  return (err_linf_linf <= tol) ? 0 : 1;
57 }
form
see the form page for the full documentation
rheolef::put
void put(std::ostream &out, std::string name, const tiny_matrix< T > &a)
Definition: tiny_lu.h:155
rheolef::catchmark
see the catchmark page for the full documentation
Definition: catchmark.h:67
field
see the field page for the full documentation
nu
Definition: nu.h:26
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
mkgeo_ball.d
int d
Definition: mkgeo_ball.sh:154
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
rotating-hill.h
Convection-diffusion equation – the rotating hill benchmark.
rheolef.h
rheolef - reference manual
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
psi
Definition: interpolate_RTk_polynom.icc:34
rheolef::environment
see the environment page for the full documentation
Definition: environment.h:115
mkgeo_sector.m
m
Definition: mkgeo_sector.sh:118
rheolef
This file is part of Rheolef.
Definition: compiler_eigen.h:37
test
see the test page for the full documentation
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
branch
see the branch page for the full documentation
main
int main(int argc, char **argv)
Definition: convect_error.cc:29
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:402