Rheolef  7.2
an efficient C++ finite element environment
incompressible-elasticity-check.cc
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1
21#include "rheolef.h"
22using namespace rheolef;
23using namespace std;
24int main(int argc, char** argv) {
25 environment rheolef (argc, argv);
26 Float inv_lambda;
27 field uh, ph;
28 din >> catchmark("inv_lambda") >> inv_lambda
29 >> catchmark("u") >> uh
30 >> catchmark("p") >> ph;
31 const space& Xh = uh.get_space();
32 const space& Qh = ph.get_space();
33 size_t d = Xh.get_geo().dimension();
34 point f (0,0,0);
35 f [d-1] = -1;
36 trial u (Xh), p (Qh); test v (Xh), q (Qh);
37 field lh = integrate (dot(f,v));
38 form a = integrate (2*ddot(D(u),D(v)));
39 form b = integrate (-div(u)*q);
40 form mp = integrate (p*q);
41 form c = inv_lambda*mp;
42 field m_ru = a*uh + b.trans_mult(ph) - lh;
43 field m_rp = b*uh - c*ph;
44 for (size_t i_comp = 0; i_comp < d; i_comp++) {
45 m_ru[i_comp]["bottom"] = 0;
46 m_ru[i_comp]["left"] = 0;
47 }
48 if (d == 3) {
49 for (size_t i_comp = 0; i_comp < d; i_comp++) {
50 m_ru[i_comp]["right"] = 0;
51 m_ru[i_comp]["back"] = 0;
52 }
53 }
54 field rp (Qh);
55 problem pmp (mp);
56 pmp.solve(m_rp, rp);
57 Float res_u = m_ru.u().max_abs();
58 Float res_p = sqrt(mp(rp,rp));
59 Float res = max(res_u, res_p);
60 derr << "check: residue(uh) = " << res_u << endl
61 << "check: residue(ph) = " << res_p << endl;
62 if (argc > 1) {
63 dout << catchmark ("mru") << m_ru << endl
64 << catchmark ("mrp") << m_rp << endl;
65 }
66 check_macro (res < 1e-6, "unexpected residue");
67}
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 point 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
Definition: environment.h:121
see the space page for the full documentation
see the test page for the full documentation
see the test page for the full documentation
point u(const point &x)
check_macro(expr1.have_homogeneous_space(Xh1), "dual(expr1,expr2); expr1 should have homogeneous space. HINT: use dual(interpolate(Xh, expr1),expr2)")
int main(int argc, char **argv)
rheolef::details::is_vec dot
This file is part of Rheolef.
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.
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
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
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
STL namespace.
rheolef - reference manual
Definition: cavity_dg.h:29
Definition: sphere.icc:25
Definition: leveque.h:25