Rheolef  7.1
an efficient C++ finite element environment
stokes_couette_slip_regul.cc
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1 #include "rheolef.h"
22 using namespace rheolef;
23 using namespace std;
24 point normal_exact (const point& x) { return x; }
25 point u_interior (const point& x) { return point(-x[1],x[0]); }
26 int 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"] = 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:104
point_basic< Float > point
Definition: point.h:164
odiststream dout(cout)
see the diststream page for the full documentation
Definition: diststream.h:430
field_basic< Float > field
see the field page for the full documentation
Definition: field.h:419
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.
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
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
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
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::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 D(const Expr &expr)
D(uh): see the expression page for the full documentation.
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::divergence >>::type div(const Expr &expr)
div(uh): see the expression page for the full documentation
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
Float u(const point &x)