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yield_slip_residue.cc

The yield slip problem – residue computation.

The yield slip problem – residue computation

#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
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