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incompressible-elasticity-check.cc
Go to the documentation of this file.
#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");
}
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
point
see the point 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
check_macro
check_macro(expr1.have_homogeneous_space(Xh1), "dual(expr1,expr2); expr1 should have homogeneous space. HINT: use dual(interpolate(Xh, expr1),expr2)")
rheolef
This file is part of Rheolef.
Definition compiler_eigen.h:39
rheolef::D
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 D(const Expr &expr)
D(uh): see the expression page for the full documentation.
Definition field_expr_terminal.h:988
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
rheolef::div
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::divergence > >::type div(const Expr &expr)
div(uh): see the expression page for the full documentation
Definition field_expr_terminal.h:1050
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
std
STL namespace.
d
size_t d
Definition neumann-laplace-lambda.cc:28
rheolef.h
rheolef - reference manual
f
Definition cavity_dg.h:29
p
Definition sphere.icc:25
u
Definition leveque.h:25