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 }
rheolef::div
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
Definition: field_expr_terminal.h:1031
form
see the form page for the full documentation
main
int main(int argc, char **argv)
Definition: stokes_couette_slip_regul.cc:26
rheolef::catchmark
see the catchmark page for the full documentation
Definition: catchmark.h:67
mkgeo_ball.b
int b
Definition: mkgeo_ball.sh:152
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
field
see the field page for the full documentation
rheolef::field
field_basic< Float > field
see the field page for the full documentation
Definition: field.h:419
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
problem_mixed
see the problem_mixed page for the full documentation
space
see the space page for the full documentation
rheolef.h
rheolef - reference manual
normal_exact
point normal_exact(const point &x)
Definition: stokes_couette_slip_regul.cc:24
p
Definition: sphere.icc:25
rheolef::ddot
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
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
rheolef::environment
see the environment page for the full documentation
Definition: environment.h:115
rheolef
This file is part of Rheolef.
Definition: compiler_eigen.h:37
test
see the test page for the full documentation
u
Definition: leveque.h:25
Float
see the Float page for the full documentation
rheolef::point
point_basic< Float > point
Definition: point.h:164
rheolef::D
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.
Definition: field_expr_terminal.h:969
point
see the point page for the full documentation
u
Float u(const point &x)
Definition: transmission_error.cc:26
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
u_interior
point u_interior(const point &x)
Definition: stokes_couette_slip_regul.cc:25