Rheolef  7.2
an efficient C++ finite element environment
incompressible-elasticity.cc
Go to the documentation of this file.
1 #include "rheolef.h"
26 using namespace rheolef;
27 using namespace std;
28 #include "embankment.icc"
29 int main(int argc, char**argv) {
30  environment rheolef (argc, argv);
31  geo omega (argv[1]);
32  Float inv_lambda = (argc > 2 ? atof(argv[2]) : 0);
33  size_t d = omega.dimension();
34  space Xh = embankment_space(omega, "P2");
35  space Qh (omega, "P1");
36  point f (0,0,0);
37  f [d-1] = -1;
38  trial u (Xh), p (Qh); test v (Xh), q (Qh);
39  field lh = integrate (dot(f,v));
40  form a = integrate (2*ddot(D(u),D(v)));
41  form b = integrate (-div(u)*q);
42  form c = integrate (inv_lambda*p*q);
43  field uh (Xh, 0), ph (Qh, 0);
44  problem_mixed elasticity (a, b, c);
45  elasticity.solve (lh, field(Qh,0), uh, ph);
46  dout << catchmark("inv_lambda") << inv_lambda << endl
47  << catchmark("u") << uh
48  << catchmark("p") << ph;
49 }
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 geo page for the full documentation
see the point page for the full documentation
see the problem_mixed 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
odiststream dout(cout)
see the diststream page for the full documentation
Definition: diststream.h:467
field_basic< Float > field
see the field page for the full documentation
Definition: field.h:511
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)
The elasticity problem for the embankment geometry – boundary conditions.
space embankment_space(const geo &omega, string approx)
Definition: embankment.icc:25
int main(int argc, char **argv)
This file is part of Rheolef.
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
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::enable_if< details::has_field_rdof_interface< 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.
std::enable_if< details::has_field_rdof_interface< 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
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 - reference manual
Definition: cavity_dg.h:29
Definition: sphere.icc:25
Definition: leveque.h:25