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stokes_cavity_check.cc
Go to the documentation of this file.
#include "rheolef.h"
using namespace rheolef;
using namespace std;
#include "cavity.h"
int main(int argc, char**argv) {
environment rheolef (argc, argv);
Float tol = (argc > 1) ? atof(argv[1]) : 1e-10;
field uh;
warning_macro("get field...");
din >> catchmark("u") >> uh;
warning_macro("get field done");
const space& Xh = uh.get_space();
const geo& omega = Xh.get_geo();
space Qh (omega, "P1");
field ph (Qh);
din >> catchmark("p") >> ph;
trial u (Xh), p (Qh); test v (Xh), q (Qh);
form a = integrate (2*ddot(D(u),D(v)));
form b = -integrate (div(u)*q);
form mp = integrate (p*q);
field m_ru = a*uh + b.trans_mult(ph);
field m_rp = b*uh;
warning_macro("field_indirect...");
m_ru["top"] = 0; m_ru["bottom"] = 0;
warning_macro("field_indirect done");
if (Xh.get_geo().dimension() == 3) {
m_ru[1]["left"] = 0; m_ru[1]["right"] = 0;
m_ru["front"] = 0; m_ru["back"] = 0;
} else {
m_ru["left"] = 0; m_ru["right"] = 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);
Float p_constant = mp(ph, field(Qh,1.));
derr << "check: residue(uh) = " << res_u << endl
<< "check: residue(ph) = " << res_p << endl
<< "check: residue = " << res << endl
<< "m(p,1) = " << p_constant << endl;
return (res <= tol) ? 0 : 1;
}
cavity.h
The driven cavity benchmark: 2D boundary conditions.
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
warning_macro
#define warning_macro(message)
Definition dis_macros.h:53
main
int main()
Definition field2bb.cc:58
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
std
STL namespace.
rheolef.h
rheolef - reference manual
p
Definition sphere.icc:25
u
Definition leveque.h:25