34int main(
int argc,
char**argv) {
37 space Xh (omega, argv[2]);
38 size_t k = Xh.degree();
40 size_t nmax = (argc > 4) ? atoi(argv[4]) : 500;
41 Float tf = (argc > 5) ? atof(argv[5]) : 1;
42 size_t p = (argc > 6) ? atoi(argv[6]) : min(k+1,
rk::pmax);
43 Float delta_t = tf/nmax;
44 size_t d = omega.dimension();
61 vector<problem> pb (
p+1);
62 for (
size_t i = 1; i <=
p; ++i) {
66 vector<field> uh(
p+1,
field(Xh,0));
71 for (
size_t n = 0; n < nmax; ++n) {
73 Float t = tn + delta_t;
75 for (
size_t i = 1; i <=
p; ++i) {
78 for (
size_t j = 1; j <= i-1; ++j) {
84 pb[i].solve (rhs, uh[i]);
89 dout << even(tn+delta_t,uh_next);
The Burgers equation – the f function.
The diffusive Burgers equation – its exact solution.
The diffusive Burgers equation – operators.
field lh(Float epsilon, Float t, const test &v)
field gh(Float epsilon, Float t, const field &uh, const test &v)
The Burgers equation – the Godonov flux.
see the Float page for the full documentation
see the branch page for the full documentation
see the field 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
see the environment page for the full documentation
see the integrate_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
This file is part of Rheolef.
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
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
field_basic< T, M > limiter(const field_basic< T, M > &uh, const T &bar_g_S, const limiter_option &opt)
see the limiter page for the full documentation
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
Float tilde_alpha[][pmax+1][pmax+1]
Float tilde_beta[][pmax+1]
Float alpha[][pmax+1][pmax+1]
rheolef - reference manual
The semi-implicit Runge-Kutta scheme – coefficients.