Rheolef  7.2
an efficient C++ finite element environment
incompressible-elasticity.cc

The incompressible elasticity problem for the embankment geometry.

The incompressible elasticity problem for the embankment geometry

#include "rheolef.h"
using namespace rheolef;
using namespace std;
#include "embankment.icc"
int main(int argc, char**argv) {
environment rheolef (argc, argv);
geo omega (argv[1]);
Float inv_lambda = (argc > 2 ? atof(argv[2]) : 0);
size_t d = omega.dimension();
space Xh = embankment_space(omega, "P2");
space Qh (omega, "P1");
point f (0,0,0);
f [d-1] = -1;
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 c = integrate (inv_lambda*p*q);
field uh (Xh, 0), ph (Qh, 0);
problem_mixed elasticity (a, b, c);
elasticity.solve (lh, field(Qh,0), uh, ph);
dout << catchmark("inv_lambda") << inv_lambda << endl
<< catchmark("u") << uh
<< catchmark("p") << ph;
}
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
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)
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