stokes_contraction_bubble.cc
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#include "rheolef.h"
using namespace rheolef;
using namespace std;
#include "contraction.h"
int main(int argc, char**argv) {
environment rheolef (argc, argv);
geo omega (argv[1]);
space X1h = contraction::velocity_space (omega, "P1");
space Bh (omega, "bubble", "vector");
space Qh (omega, "P1");
trial u1 (X1h), ub (Bh), p (Qh);
test v1 (X1h), vb (Bh), q (Qh);
form b1 = integrate (-div(u1)*q);
form bb = integrate (-div(ub)*q);
form a1 = integrate (2*ddot(D(u1),D(v1)));
integrate_option iopt;
iopt.invert = true;
form inv_ab = integrate (2*ddot(D(ub),D(vb)), iopt);
form c = bb*inv_ab*trans(bb);
field u1h = contraction::velocity_field (X1h);
field ph (Qh, 0);
problem_mixed stokes (a1, b1, c);
stokes.solve (field(X1h,0), field(Qh,0), u1h, ph);
dout << catchmark("inv_lambda") << 0 << endl
<< catchmark("u") << u1h
<< catchmark("p") << ph;
}
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
contraction.h
The contraction geometry: boundary conditions.
form
see the form page for the full documentation
rheolef::catchmark
see the catchmark page for the full documentation
Definition: catchmark.h:67
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
space
see the space page for the full documentation
contraction::velocity_field
static field velocity_field(space Xh)
Definition: contraction.h:49
mkgeo_ball.c
c
Definition: mkgeo_ball.sh:153
rheolef.h
rheolef - reference manual
p
Definition: sphere.icc:25
rheolef::integrate_option
see the integrate_option page for the full documentation
Definition: integrate_option.h:125
contraction::velocity_space
static space velocity_space(geo omega, string approx)
Definition: contraction.h:41
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::environment
see the environment page for the full documentation
Definition: environment.h:115
rheolef
This file is part of Rheolef.
Definition: compiler_eigen.h:37
rheolef::integrate_option::invert
bool invert
Definition: integrate_option.h:168
test
see the test page for the full documentation
main
int main(int argc, char **argv)
Definition: stokes_contraction_bubble.cc:29
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
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
rheolef::trans
csr< T, sequential > trans(const csr< T, sequential > &a)
trans(a): see the form page for the full documentation
Definition: csr.h:455
rheolef::std
Definition: vec_expr_v2.h:391
geo
see the geo page for the full documentation