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incompressible-elasticity.cc
Go to the documentation of this file.
#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);
field lh = integrate (dot(f,v));
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;
}
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
geo
see the geo page for the full documentation
point
see the point page for the full documentation
problem_mixed
see the problem_mixed 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
embankment.icc
The elasticity problem for the embankment geometry – boundary conditions.
embankment_space
space embankment_space(const geo &omega, string approx)
Definition embankment.icc:25
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
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