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stokes_couette_slip_error.cc
Go to the documentation of this file.
#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 = lazy_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;
}
Float
see the Float page for the full documentation
field
see the field page for the full documentation
form
see the form page for the full documentation
geo
see the geo page for the full documentation
point
see the point 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::set_order
void set_order(size_t r)
Definition integrate_option.h:254
space
see the space page for the full documentation
test
see the test page for the full documentation
trial
see the test page for the full documentation
main
int main()
Definition field2bb.cc:58
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::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
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
rheolef::dot
rheolef::std enable_if ::type dot const Expr1 expr1, const Expr2 expr2 dot(const Expr1 &expr1, const Expr2 &expr2)
Definition vec_expr_v2.h:415
std
STL namespace.
rheolef.h
rheolef - reference manual
p
Definition sphere.icc:25
u_exact
Definition interpolate_RTk_polynom.icc:125
u
Definition leveque.h:25