Rheolef  7.2
an efficient C++ finite element environment
incompressible-elasticity-check.cc
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1 #include "rheolef.h"
22 using namespace rheolef;
23 using namespace std;
24 int main(int argc, char** argv) {
25  environment rheolef (argc, argv);
26  Float inv_lambda;
27  field uh, ph;
28  din >> catchmark("inv_lambda") >> inv_lambda
29  >> catchmark("u") >> uh
30  >> catchmark("p") >> ph;
31  const space& Xh = uh.get_space();
32  const space& Qh = ph.get_space();
33  size_t d = Xh.get_geo().dimension();
34  point f (0,0,0);
35  f [d-1] = -1;
36  trial u (Xh), p (Qh); test v (Xh), q (Qh);
37  field lh = integrate (dot(f,v));
38  form a = integrate (2*ddot(D(u),D(v)));
39  form b = integrate (-div(u)*q);
40  form mp = integrate (p*q);
41  form c = inv_lambda*mp;
42  field m_ru = a*uh + b.trans_mult(ph) - lh;
43  field m_rp = b*uh - c*ph;
44  for (size_t i_comp = 0; i_comp < d; i_comp++) {
45  m_ru[i_comp]["bottom"] = 0;
46  m_ru[i_comp]["left"] = 0;
47  }
48  if (d == 3) {
49  for (size_t i_comp = 0; i_comp < d; i_comp++) {
50  m_ru[i_comp]["right"] = 0;
51  m_ru[i_comp]["back"] = 0;
52  }
53  }
54  field rp (Qh);
55  problem pmp (mp);
56  pmp.solve(m_rp, rp);
57  Float res_u = m_ru.u().max_abs();
58  Float res_p = sqrt(mp(rp,rp));
59  Float res = max(res_u, res_p);
60  derr << "check: residue(uh) = " << res_u << endl
61  << "check: residue(ph) = " << res_p << endl;
62  if (argc > 1) {
63  dout << catchmark ("mru") << m_ru << endl
64  << catchmark ("mrp") << m_rp << endl;
65  }
66  check_macro (res < 1e-6, "unexpected residue");
67 }
field lh(Float epsilon, Float t, const test &v)
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 point 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:121
idiststream din(cin)
see the diststream page for the full documentation
Definition: diststream.h:464
odiststream dout(cout)
see the diststream page for the full documentation
Definition: diststream.h:467
odiststream derr(cerr)
see the diststream page for the full documentation
Definition: diststream.h:473
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)
int main(int argc, char **argv)
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:211
std::enable_if< details::has_field_rdof_interface< 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::has_field_rdof_interface< 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
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
rheolef - reference manual
Definition: cavity_dg.h:29
Definition: sphere.icc:25
Definition: leveque.h:25