stokes_couette_slip_error.cc
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#include "rheolef.h"
using namespace rheolef;
using namespace std;
point u_exact (const point& x) { return point(-x[1],x[0]); }
int main(int argc, char**argv) {
environment rheolef (argc, argv);
Float tol = (argc > 1) ? atof(argv[1]) : 1e-10;
field uh, ph;
din >> catchmark("u") >> uh
>> catchmark("p") >> ph;
const space& Xh = uh.get_space(),
Qh = ph.get_space();
const geo& omega = Xh.get_geo();
size_t k = Xh.degree();
Float meas_omega = integrate(omega);
field pi_h_u = interpolate (Xh,u_exact),
pi_h_p (Qh, 0.);
trial u (Xh), p (Qh);
test v (Xh), q (Qh);
form m = integrate (dot(u,v)),
a = integrate (ddot(grad(u),grad(v)));
integrate_option iopt;
iopt.set_order (2*(k+2)+3);
Float err_l2_u = sqrt(integrate (omega, norm2(uh-pi_h_u), iopt)/meas_omega);
derr << "err_l2_u = " << err_l2_u << endl;
return (err_l2_u < tol) ? 0 : 1;
}
form
see the form page for the full documentation
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
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
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
space
see the space page for the full documentation
rheolef::grad
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(const Expr &expr)
grad(uh): see the expression page for the full documentation
Definition: field_expr_terminal.h:911
u_exact
point u_exact(const point &x)
Definition: stokes_couette_slip_error.cc:24
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
p
Definition: sphere.icc:25
rheolef::integrate_option
see the integrate_option page for the full documentation
Definition: integrate_option.h:125
rheolef::ddot
T ddot(const tensor_basic< T > &a, const tensor_basic< T > &b)
ddot(x,y): see the expression page for the full documentation
Definition: tensor.cc:278
a
Definition: diffusion_isotropic.h:25
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
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
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
u
Definition: leveque.h:25
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
rheolef::point
point_basic< Float > point
Definition: point.h:164
u_exact
Definition: interpolate_RTk_polynom.icc:125
point
see the point page for the full documentation
u
Float u(const point &x)
Definition: transmission_error.cc:26
trial
see the test page for the full documentation
main
int main(int argc, char **argv)
Definition: stokes_couette_slip_error.cc:25
rheolef::std
Definition: vec_expr_v2.h:391
geo
see the geo page for the full documentation