incompressible-elasticity-check.cc
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#include "rheolef.h"
using namespace rheolef;
using namespace std;
int main(int argc, char** argv) {
environment rheolef (argc, argv);
Float inv_lambda;
field uh, ph;
din >> catchmark("inv_lambda") >> inv_lambda
>> catchmark("u") >> uh
>> catchmark("p") >> ph;
const space& Xh = uh.get_space();
const space& Qh = ph.get_space();
size_t d = Xh.get_geo().dimension();
point f (0,0,0);
f [d-1] = -1;
trial u (Xh), p (Qh); test v (Xh), q (Qh);
field lh = integrate (dot(f,v));
form a = integrate (2*ddot(D(u),D(v)));
form b = integrate (-div(u)*q);
form mp = integrate (p*q);
form c = inv_lambda*mp;
field m_ru = a*uh + b.trans_mult(ph) - lh;
field m_rp = b*uh - c*ph;
for (size_t i_comp = 0; i_comp < d; i_comp++) {
m_ru[i_comp]["bottom"] = 0;
m_ru[i_comp]["left"] = 0;
}
if (d == 3) {
for (size_t i_comp = 0; i_comp < d; i_comp++) {
m_ru[i_comp]["right"] = 0;
m_ru[i_comp]["back"] = 0;
}
}
field rp (Qh);
problem pmp (mp);
pmp.solve(m_rp, rp);
Float res_u = m_ru.u().max_abs();
Float res_p = sqrt(mp(rp,rp));
Float res = max(res_u, res_p);
derr << "check: residue(uh) = " << res_u << endl
<< "check: residue(ph) = " << res_p << endl;
if (argc > 1) {
dout << catchmark ("mru") << m_ru << endl
<< catchmark ("mrp") << m_rp << endl;
}
check_macro (res < 1e-6, "unexpected residue");
}
rheolef::div
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::divergence >>::type div(const Expr &expr)
div(uh): see the expression page for the full documentation
Definition: field_expr_terminal.h:1031
form
see the form page for the full documentation
rheolef::catchmark
see the catchmark page for the full documentation
Definition: catchmark.h:67
rheolef::dot
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
field
see the field page for the full documentation
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:202
mkgeo_ball.f
f
Definition: mkgeo_ball.sh:221
space
see the space page for the full documentation
mkgeo_ball.c
c
Definition: mkgeo_ball.sh:153
rheolef.h
rheolef - reference manual
p
Definition: sphere.icc:25
rheolef::ddot
T ddot(const tensor_basic< T > &a, const tensor_basic< T > &b)
ddot(x,y): see the expression page for the full documentation
Definition: tensor.cc:278
a
Definition: diffusion_isotropic.h:25
rheolef::din
idiststream din
see the diststream page for the full documentation
Definition: diststream.h:427
rheolef::environment
see the environment page for the full documentation
Definition: environment.h:115
lh
field lh(Float epsilon, Float t, const test &v)
Definition: burgers_diffusion_operators.icc:25
rheolef
This file is part of Rheolef.
Definition: compiler_eigen.h:37
test
see the test page for the full documentation
problem
see the problem page for the full documentation
u
Definition: leveque.h:25
rheolef::derr
odiststream derr(cerr)
see the diststream page for the full documentation
Definition: diststream.h:436
Float
see the Float page for the full documentation
rheolef::D
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 D(const Expr &expr)
D(uh): see the expression page for the full documentation.
Definition: field_expr_terminal.h:969
point
see the point page for the full documentation
mkgeo_ball.d
d
Definition: mkgeo_ball.sh:154
u
Float u(const point &x)
Definition: transmission_error.cc:26
mkgeo_ball.b
b
Definition: mkgeo_ball.sh:152
trial
see the test page for the full documentation
main
int main(int argc, char **argv)
Definition: incompressible-elasticity-check.cc:24
rheolef::dout
odiststream dout(cout)
see the diststream page for the full documentation
Definition: diststream.h:430
f
Definition: cavity_dg.h:29
rheolef::std
Definition: vec_expr_v2.h:391