Rheolef  7.1
an efficient C++ finite element environment
yield_slip_residue.cc
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1 #include "rheolef.h"
26 using namespace rheolef;
27 using namespace std;
28 #include "projection.h"
29 int main(int argc, char**argv) {
30  environment rheolef (argc, argv);
31  Float tol = (argc > 1) ? atof(argv[1]) : 1e-12;
32  bool sym = (argc > 2) && (string(argv[2]) == "-symmetric") ? true : false;
33  Float S, n, Cf, r;
34  field uh, lambda_h;
35  din >> catchmark("S") >> S
36  >> catchmark("n") >> n
37  >> catchmark("Cf") >> Cf
38  >> catchmark("r") >> r
39  >> catchmark("u") >> uh
40  >> catchmark("lambda") >> lambda_h;
41  space Xh = uh.get_space();
42  space Wh = lambda_h.get_space();
43  geo omega = Xh.get_geo();
44  geo boundary = omega["boundary"];
45  trial u(Xh), lambda(Wh);
46  test v(Xh), mu(Wh);
47  form m = integrate (u*v),
48  a = integrate (dot(grad(u),grad(v))),
49  mb = integrate (lambda*mu),
50  b = integrate (boundary, u*mu);
51  field lh = integrate(v);
52  field r_lambda_h;
53  if (!sym) {
54  r_lambda_h = interpolate(Wh,
55  uh["boundary"] - compose(projection(S,n,Cf), lambda_h));
56  } else {
57  field beta_h = lambda_h + r*uh[boundary];
58  field mr_lambda_h = b*uh - integrate(mu*compose(projection(S,n,Cf,r), beta_h));
59  r_lambda_h = field(Wh);
60  problem pmb (mb);
61  pmb.solve (mr_lambda_h, r_lambda_h);
62  }
63  field mruh = a*uh - lh + b.trans_mult(lambda_h);
64  field ruh(Xh);
65  problem pm (m);
66  pm.solve (mruh, ruh);
67  ruh["boundary"] = 0;
68  Float residue_u = sqrt(dual(mruh,ruh));
69  Float residue_lambda = sqrt(mb(r_lambda_h, r_lambda_h));
70  dout << "residue_u = " << residue_u << endl
71  << "residue_lambda = " << residue_lambda << endl;
72  Float residue = max(residue_u, residue_lambda);
73  return (residue <= tol) ? 0 : 1;
74 }
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 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:104
idiststream din
see the diststream page for the full documentation
Definition: diststream.h:427
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_convertible< Expr >::value,details::field_expr_v2_nonlinear_terminal_field< typename Expr::scalar_type,typename Expr::memory_type,details::differentiate_option::gradient >>::type grad(const Expr &expr)
grad(uh): see the expression page for the full documentation
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
details::field_expr_v2_nonlinear_node_nary< typename details::function_traits< Function >::functor_type,typename details::field_expr_v2_nonlinear_terminal_wrapper_traits< Exprs >::type... > ::type compose(const Function &f, const Exprs &... exprs)
see the compose page for the full documentation
Definition: compose.h:246
rheolef::std enable_if ::type dual const Expr1 expr1, const Expr2 expr2 dual(const Expr1 &expr1, const Expr2 &expr2)
Definition: field_expr.h:260
field residue(Float p, const field &uh)
The projection for yield-stress rheologies e.g. the yield slip problem.
rheolef - reference manual
Definition: leveque.h:25
Float u(const point &x)
int main(int argc, char **argv)