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helmholtz_band.cc

The Helmholtz problem on a surface by the banded level-set method.

The Helmholtz problem on a surface by the banded level-set method

#include "rheolef.h"
using namespace std;
using namespace rheolef;
#include "sphere.icc"
int main (int argc, char**argv) {
environment rheolef(argc, argv);
geo lambda (argv[1]);
size_t d = lambda.dimension();
space Xh (lambda, "P1");
field phi_h = lazy_interpolate(Xh, phi);
band gamma_h (phi_h);
field phi_h_band = phi_h [gamma_h.band()];
space Bh (gamma_h.band(), "P1");
Bh.block ("isolated");
Bh.unblock ("zero");
trial u (Bh); test v (Bh);
form a = lazy_integrate (gamma_h, u*v + dot(grad_s(u),grad_s(v)));
field lh = lazy_integrate (gamma_h, f(d)*v);
vector<field> b (gamma_h.n_connected_component());
vector<Float> z (gamma_h.n_connected_component(), 0);
for (size_t i = 0; i < b.size(); i++) {
const domain& cci = gamma_h.band() ["cc"+to_string(i)];
field phi_h_cci (Bh, 0);
phi_h_cci [cci] = phi_h_band [cci];
b[i] = phi_h_cci;
}
form A = {{ a, trans(b) },
{ b, 0 }};
field Fh = { lh, z };
A.set_symmetry(true);
problem pa (A);
field Uh (Fh.get_space(), 0);
pa.solve (Fh, Uh);
dout << catchmark("phi") << phi_h
<< catchmark("u") << Uh[0];
}
lh
field lh(Float epsilon, Float t, const test &v)
Definition burgers_diffusion_operators.icc:25
band
see the band 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.
d
size_t d
Definition neumann-laplace-lambda.cc:28
rheolef.h
rheolef - reference manual
sphere.icc
The level set function for the sphere geometry.
A
Definition diffusion_isotropic.h:25
f
Definition cavity_dg.h:29
lambda
Definition yield_slip_circle.h:34
phi
Definition phi.h:25
u
Definition leveque.h:25