Rheolef  7.1
an efficient C++ finite element environment
incompressible-elasticity.cc
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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 }
rheolef::div
std::enable_if< details::is_field_convertible< 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
Definition: field_expr_terminal.h:1031
form
see the form page for the full documentation
rheolef::catchmark
see the catchmark page for the full documentation
Definition: catchmark.h:67
rheolef::dot
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
field
see the field page for the full documentation
rheolef::field
field_basic< Float > field
see the field page for the full documentation
Definition: field.h:419
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:202
problem_mixed
see the problem_mixed page for the full documentation
mkgeo_ball.f
f
Definition: mkgeo_ball.sh:221
space
see the space page for the full documentation
mkgeo_ball.c
c
Definition: mkgeo_ball.sh:153
rheolef.h
rheolef - reference manual
embankment.icc
The elasticity problem for the embankment geometry – boundary conditions.
p
Definition: sphere.icc:25
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
a
Definition: diffusion_isotropic.h:25
rheolef::environment
see the environment page for the full documentation
Definition: environment.h:115
lh
field lh(Float epsilon, Float t, const test &v)
Definition: burgers_diffusion_operators.icc:25
embankment_space
space embankment_space(const geo &omega, string approx)
Definition: embankment.icc:25
rheolef
This file is part of Rheolef.
Definition: compiler_eigen.h:37
test
see the test page for the full documentation
u
Definition: leveque.h:25
Float
see the Float page for the full documentation
rheolef::D
std::enable_if< details::is_field_convertible< 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.
Definition: field_expr_terminal.h:969
point
see the point page for the full documentation
mkgeo_ball.d
d
Definition: mkgeo_ball.sh:154
u
Float u(const point &x)
Definition: transmission_error.cc:26
mkgeo_ball.b
b
Definition: mkgeo_ball.sh:152
trial
see the test page for the full documentation
rheolef::dout
odiststream dout(cout)
see the diststream page for the full documentation
Definition: diststream.h:430
f
Definition: cavity_dg.h:29
main
int main(int argc, char **argv)
Definition: incompressible-elasticity.cc:29
rheolef::std
Definition: vec_expr_v2.h:391
geo
see the geo page for the full documentation