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yield_slip_residue.cc
Go to the documentation of this file.
#include "rheolef.h"
using namespace rheolef;
using namespace std;
#include "projection.h"
int main(int argc, char**argv) {
environment rheolef (argc, argv);
Float tol = (argc > 1) ? atof(argv[1]) : 1e-12;
bool sym = (argc > 2) && (string(argv[2]) == "-symmetric") ? true : false;
Float S, n, Cf, r;
field uh, lambda_h;
din >> catchmark("S") >> S
>> catchmark("n") >> n
>> catchmark("Cf") >> Cf
>> catchmark("r") >> r
>> catchmark("u") >> uh
>> catchmark("lambda") >> lambda_h;
space Xh = uh.get_space();
space Wh = lambda_h.get_space();
geo omega = Xh.get_geo();
geo boundary = omega["boundary"];
trial u(Xh), lambda(Wh);
test v(Xh), mu(Wh);
form m = integrate (u*v),
a = integrate (dot(grad(u),grad(v))),
mb = integrate (lambda*mu),
b = integrate (boundary, u*mu);
field lh = integrate(v);
field r_lambda_h;
if (!sym) {
r_lambda_h = lazy_interpolate(Wh,
uh["boundary"] - compose(projection(S,n,Cf), lambda_h));
} else {
field beta_h = lambda_h + r*uh[boundary];
field mr_lambda_h = b*uh - integrate(mu*compose(projection(S,n,Cf,r), beta_h));
r_lambda_h = field(Wh);
problem pmb (mb);
pmb.solve (mr_lambda_h, r_lambda_h);
}
field mruh = a*uh - lh + b.trans_mult(lambda_h);
field ruh(Xh);
problem pm (m);
pm.solve (mruh, ruh);
ruh["boundary"] = 0;
Float residue_u = sqrt(dual(mruh,ruh));
Float residue_lambda = sqrt(mb(r_lambda_h, r_lambda_h));
dout << "residue_u = " << residue_u << endl
<< "residue_lambda = " << residue_lambda << endl;
Float residue = max(residue_u, residue_lambda);
return (residue <= tol) ? 0 : 1;
}
lh
field lh(Float epsilon, Float t, const test &v)
Definition burgers_diffusion_operators.icc:25
Float
see the Float page for the full documentation
field
see the field page for the full documentation
form
see the form page for the full documentation
geo
see the geo page for the full documentation
problem
see the problem page for the full documentation
rheolef::catchmark
see the catchmark page for the full documentation
Definition catchmark.h:67
rheolef::environment
see the environment page for the full documentation
Definition environment.h:121
space
see the space page for the full documentation
test
see the test page for the full documentation
trial
see the test page for the full documentation
main
int main()
Definition field2bb.cc:58
rheolef
This file is part of Rheolef.
Definition compiler_eigen.h:39
rheolef::dual
rheolef::std enable_if ::type dual const Expr1 expr1, const Expr2 expr2 dual(const Expr1 &expr1, const Expr2 &expr2)
Definition field_expr.h:229
rheolef::grad
std::enable_if< details::has_field_rdof_interface< Expr >::value, details::field_expr_v2_nonlinear_terminal_field< typenameExpr::scalar_type, typenameExpr::memory_type, details::differentiate_option::gradient > >::type grad(const Expr &expr)
grad(uh): see the expression page for the full documentation
Definition field_expr_terminal.h:930
rheolef::lazy_interpolate
field_basic< T, M > lazy_interpolate(const space_basic< T, M > &X2h, const field_basic< T, M > &u1h)
see the interpolate page for the full documentation
Definition field.h:871
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:211
rheolef::dot
rheolef::std enable_if ::type dot const Expr1 expr1, const Expr2 expr2 dot(const Expr1 &expr1, const Expr2 &expr2)
Definition vec_expr_v2.h:415
rheolef::compose
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:247
std
STL namespace.
residue
field residue(Float p, const field &uh)
Definition p_laplacian_post.cc:35
projection.h
The projection for yield-stress rheologies e.g. the yield slip problem.
rheolef.h
rheolef - reference manual
lambda
Definition yield_slip_circle.h:34
projection
Definition projection.h:27
u
Definition leveque.h:25