Rheolef  7.2
an efficient C++ finite element environment
 
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transmission_dg.cc
Go to the documentation of this file.
1
25#include "rheolef.h"
26using namespace rheolef;
27using namespace std;
28int main(int argc, char**argv) {
29 environment rheolef (argc, argv);
30 geo omega (argv[1]);
31 string approx = (argc > 2) ? argv[2] : "P1d";
32 Float epsilon = (argc > 3) ? atof(argv[3]) : 1e-2;
33 space Xh (omega, approx);
34 size_t d = omega.dimension();
35 size_t k = Xh.degree();
36 check_macro (k >= 1, "polynomial degree k="<<k<<" shoud be >= 1");
37 Float beta = (k+1)*(k+d)/d;
38 field eta_h(Xh);
39 eta_h["west"] = epsilon;
40 eta_h["east"] = 1;
41 geo gamma_d = omega["left"] + omega["right"];
42 geo Shd = omega["internal_sides"] + gamma_d;
43 trial u (Xh); test v (Xh);
44 auto eta_s = 2/(1/inner(eta_h) + 1/outer(eta_h));
45 auto eta_w_o = inner(eta_h)/(inner(eta_h) + outer(eta_h));
46 auto eta_w_i = outer(eta_h)/(inner(eta_h) + outer(eta_h));
47 auto average_w_u = eta_w_i*inner(eta_h*dot(grad_h(u),normal()))
48 + eta_w_o*outer(eta_h*dot(grad_h(u),normal()));
49 auto average_w_v = eta_w_i*inner(eta_h*dot(grad_h(v),normal()))
50 + eta_w_o*outer(eta_h*dot(grad_h(v),normal()));
51 form a = integrate (eta_h*dot(grad_h(u),grad_h(v)))
52 + integrate (Shd, beta*penalty()*eta_s*jump(u)*jump(v)
53 - jump(u)*average_w_v
54 - jump(v)*average_w_u);
55 field lh = integrate (v);
56 solver_option sopt;
57 sopt.iterative = false;
58 problem p (a, sopt);
59 field uh (Xh);
60 p.solve (lh, uh);
61 dout << catchmark("epsilon") << epsilon << endl
62 << catchmark("u") << uh;
63}
field lh(Float epsilon, Float t, const test &v)
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 solver_option 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
int main()
Definition field2bb.cc:58
check_macro(expr1.have_homogeneous_space(Xh1), "dual(expr1,expr2); expr1 should have homogeneous space. HINT: use dual(interpolate(Xh, expr1),expr2)")
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 ::type dot const Expr1 expr1, const Expr2 expr2 dot(const Expr1 &expr1, const Expr2 &expr2)
details::field_expr_v2_nonlinear_terminal_function< details::penalty_pseudo_function< Float > > penalty()
penalty(): see the expression page for the full documentation
STL namespace.
rheolef - reference manual
Definition sphere.icc:25
Definition leveque.h:25
Float epsilon