Rheolef  7.2
an efficient C++ finite element environment
 
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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;
}
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
see the space page for the full documentation
see the test page for the full documentation
see the test page for the full documentation
int main()
Definition field2bb.cc:58
This file is part of Rheolef.
STL namespace.
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