Rheolef  7.1
an efficient C++ finite element environment
stokes_cavity_check.cc
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1 #include "rheolef.h"
22 using namespace rheolef;
23 using namespace std;
24 #include "cavity.h"
25 int main(int argc, char**argv) {
26  environment rheolef (argc, argv);
27  Float tol = (argc > 1) ? atof(argv[1]) : 1e-10;
28  field uh;
29 warning_macro("get field...");
30  din >> catchmark("u") >> uh;
31 warning_macro("get field done");
32  const space& Xh = uh.get_space();
33  const geo& omega = Xh.get_geo();
34  space Qh (omega, "P1");
35  field ph (Qh);
36  din >> catchmark("p") >> ph;
37  trial u (Xh), p (Qh); test v (Xh), q (Qh);
38  form a = integrate (2*ddot(D(u),D(v)));
39  form b = -integrate (div(u)*q);
40  form mp = integrate (p*q);
41  field m_ru = a*uh + b.trans_mult(ph);
42  field m_rp = b*uh;
43 warning_macro("field_indirect...");
44  m_ru["top"] = 0; m_ru["bottom"] = 0;
45 warning_macro("field_indirect done");
46  if (Xh.get_geo().dimension() == 3) {
47  m_ru[1]["left"] = 0; m_ru[1]["right"] = 0;
48  m_ru["front"] = 0; m_ru["back"] = 0;
49  } else {
50  m_ru["left"] = 0; m_ru["right"] = 0;
51  }
52  field rp (Qh);
53  problem pmp (mp);
54  pmp.solve (m_rp, rp);
55  Float res_u = m_ru.u().max_abs();
56  Float res_p = sqrt(mp(rp,rp));
57  Float res = max(res_u, res_p);
58  Float p_constant = mp(ph, field(Qh,1.));
59  derr << "check: residue(uh) = " << res_u << endl
60  << "check: residue(ph) = " << res_p << endl
61  << "check: residue = " << res << endl
62  << "m(p,1) = " << p_constant << endl;
63  return (res <= tol) ? 0 : 1;
64 }
The driven cavity benchmark: 2D boundary conditions.
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 problem 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:115
idiststream din
see the diststream page for the full documentation
Definition: diststream.h:427
field_basic< Float > field
see the field page for the full documentation
Definition: field.h:419
odiststream derr(cerr)
see the diststream page for the full documentation
Definition: diststream.h:436
see the space page for the full documentation
see the test page for the full documentation
see the test page for the full documentation
#define warning_macro(message)
Definition: dis_macros.h:53
This file is part of Rheolef.
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
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
int main(int argc, char **argv)
Definition: sphere.icc:25
Definition: leveque.h:25
Float u(const point &x)