Rheolef  7.2
an efficient C++ finite element environment
stokes_couette_slip_regul.cc
Go to the documentation of this file.
1
21#include "rheolef.h"
22using namespace rheolef;
23using namespace std;
24point normal_exact (const point& x) { return x; }
25point u_interior (const point& x) { return point(-x[1],x[0]); }
26int main(int argc, char**argv) {
27 environment rheolef (argc, argv);
28 geo omega (argv[1]);
29 Float eps = (argc > 2) ? atof(argv[2]) : 1e-5;
30 space Xh (omega, "P2", "vector");
31 Xh.block ("interior");
32 space Qh (omega, "P1");
33 space Wh (omega["interior"], "P2", "vector");
34 trial u (Xh), p (Qh);
35 test v (Xh), q (Qh);
36 form a = integrate (2*ddot(D(u),D(v)))
37 + (1/eps)*integrate("exterior",dot(u,normal_exact)*dot(v,normal_exact));
38 form b = integrate (-div(u)*q);
39 field uh (Xh,0);
40 uh["interior"] = lazy_interpolate(Wh,u_interior);
41 field ph (Qh, 0);
42 problem_mixed stokes (a, b);
43 stokes.solve (field(Xh,0), field(Qh,0), uh, ph);
44 dout << catchmark("u") << uh
45 << catchmark("p") << ph;
46}
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 point page for the full documentation
see the problem_mixed 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
Definition: environment.h:121
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)
rheolef::details::is_vec dot
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 D(const Expr &expr)
D(uh): see the expression page for the full documentation.
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
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::divergence > >::type div(const Expr &expr)
div(uh): see the expression page for the full documentation
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
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
STL namespace.
rheolef - reference manual
point u_interior(const point &x)
int main(int argc, char **argv)
point normal_exact(const point &x)
Definition: sphere.icc:25
Definition: leveque.h:25