Rheolef  7.2
an efficient C++ finite element environment
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transport_dg2.cc
Go to the documentation of this file.
1
21#include "rheolef.h"
22using namespace rheolef;
23using namespace std;
24#include "transport_dg2.h"
25int main(int argc, char**argv) {
26 environment rheolef (argc, argv);
27 geo omega (argv[1]);
28 string approx = (argc > 2) ? argv[2] : "P0";
29 Float alpha = (argc > 3) ? atof(argv[3]) : 1;
30 Float w = (argc > 4) ? atof(argv[4]) : 1e-2;
31 space Th (omega, approx);
32 trial phi(Th); test psi(Th);
33 form ah = integrate (dot(u(w),grad_h(phi))*psi)
34 + integrate ("boundary", max(0, -dot(u(w),normal()))*phi*psi)
35 + integrate ("internal_sides",
36 - dot(u(w),normal())*jump(phi)*average(psi)
37 + 0.5*alpha*abs(dot(u(w),normal()))*jump(phi)*jump(psi));
38 field lh = integrate ("boundary", phi_exact(w)*max(0, -dot(u(w),normal()))*psi);
39 field phi_h(Th);
40 problem p (ah);
41 p.solve (lh, phi_h);
42 dout << catchmark("w") << w << endl
43 << catchmark("phi") << phi_h;
44}
field lh(Float epsilon, Float t, const test &v)
Float phi(const point &nu, Float a, Float b)
see the Float page for the full documentation
see the field page for the full documentation
see the form page for the full documentation
see the geo page for the full documentation
see the problem page for the full documentation
see the catchmark page for the full documentation
Definition catchmark.h:67
see the environment page for the full documentation
see the space page for the full documentation
see the test page for the full documentation
see the test page for the full documentation
point u(const point &x)
int main()
Definition field2bb.cc:58
This file is part of Rheolef.
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_h(const Expr &expr)
grad_h(uh): see the expression page for the full documentation
details::field_expr_v2_nonlinear_terminal_function< details::normal_pseudo_function< Float > > normal()
normal: see the expression page for the full documentation
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::std::enable_if< details::is_vec_expr_v2_arg< Expr1 >::value &&details::is_vec_expr_v2_arg< Expr2 >::value, promote< Expr1::float_type, Expr2::float_type >::type > type dot const Expr1 expr1, const Expr2 expr2 dot(const Expr1 &expr1, const Expr2 &expr2)
STL namespace.
rheolef - reference manual
Definition sphere.icc:25
Definition phi.h:25
The rotating hill benchmark for the transport problem.