Rheolef  7.1
an efficient C++ finite element environment
convect.cc
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1 #include "rheolef.h"
26 using namespace rheolef;
27 using namespace std;
28 #include "rotating-hill.h"
29 int main (int argc, char **argv) {
30  environment rheolef (argc,argv);
31  geo omega (argv[1]);
32  string approx = (argc > 2) ? argv[2] : "P1";
33  Float nu = (argc > 3) ? atof(argv[3]) : 1e-2;
34  size_t n_max = (argc > 4) ? atoi(argv[4]) : 50;
35  size_t d = omega.dimension();
36  Float delta_t = 2*acos(-1.)/n_max;
37  space Vh (omega, approx, "vector");
38  field uh = interpolate (Vh, u(d));
39  space Xh (omega, approx);
40  Xh.block ("boundary");
41  field phi_h = interpolate (Xh, phi(d,nu,0));
42  characteristic X (-delta_t*uh);
43  integrate_option iopt;
45  iopt.set_order (Xh.degree());
46  trial phi (Xh); test psi (Xh);
47  branch event ("t","phi");
48  dout << catchmark("nu") << nu << endl
49  << event (0, phi_h);
50  for (size_t n = 1; n <= n_max; n++) {
51  Float t = n*delta_t;
52  Float c1 = 1 + delta_t*phi::sigma(d,nu,t);
53  Float c2 = delta_t*nu;
54  form a = integrate (c1*phi*psi + c2*dot(grad(phi),grad(psi)), iopt);
55  field lh = integrate (compose(phi_h, X)*psi, iopt);
56  problem p (a);
57  p.solve (lh, phi_h);
58  dout << event (t, phi_h);
59  }
60 }
mkgeo_ball.n
int n
Definition: mkgeo_ball.sh:150
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
mkgeo_contraction.c2
c2
Definition: mkgeo_contraction.sh:199
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
nu
Definition: nu.h:26
phi
Definition: phi.h:25
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
mkgeo_ball.d
int d
Definition: mkgeo_ball.sh:154
phi
Float phi(const point &nu, Float a, Float b)
Definition: burgers_flux_godunov.icc:25
space
see the space page for the full documentation
rotating-hill.h
Convection-diffusion equation – the rotating hill benchmark.
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
rheolef.h
rheolef - reference manual
p
Definition: sphere.icc:25
rheolef::integrate_option
see the integrate_option page for the full documentation
Definition: integrate_option.h:125
main
int main(int argc, char **argv)
Definition: convect.cc:29
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
psi
Definition: interpolate_RTk_polynom.icc:34
rheolef::integrate_option::gauss_lobatto
@ gauss_lobatto
Definition: integrate_option.h:133
rheolef::environment
see the environment page for the full documentation
Definition: environment.h:115
lh
field lh(Float epsilon, Float t, const test &v)
Definition: burgers_diffusion_operators.icc:25
characteristic
see the characteristic page for the full documentation
rheolef
This file is part of Rheolef.
Definition: compiler_eigen.h:37
test
see the test page for the full documentation
problem
see the problem page for the full documentation
Float
see the Float page for the full documentation
branch
see the branch page for the full documentation
u
Float u(const point &x)
Definition: transmission_error.cc:26
rheolef::integrate_option::set_family
void set_family(family_type type)
Definition: integrate_option.h:260
rheolef::compose
details::field_expr_v2_nonlinear_node_nary< typename details::function_traits< Function >::functor_type,typename details::field_expr_v2_nonlinear_terminal_wrapper_traits< Exprs >::type... > ::type compose(const Function &f, const Exprs &... exprs)
see the compose page for the full documentation
Definition: compose.h:246
phi::sigma
Float sigma
Definition: transport_dg_error.cc:27
trial
see the test page for the full documentation
rheolef::dout
odiststream dout(cout)
see the diststream page for the full documentation
Definition: diststream.h:430
rheolef::std
Definition: vec_expr_v2.h:402
geo
see the geo page for the full documentation