Rheolef  7.2
an efficient C++ finite element environment
 
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stokes_contraction_bubble.cc
Go to the documentation of this file.
1
25#include "rheolef.h"
26using namespace rheolef;
27using namespace std;
28#include "contraction.h"
29int main(int argc, char**argv) {
30 environment rheolef (argc, argv);
31 geo omega (argv[1]);
32 space X1h = contraction::velocity_space (omega, "P1");
33 space Bh (omega, "bubble", "vector");
34 space Qh (omega, "P1");
35 trial u1 (X1h), ub (Bh), p (Qh);
36 test v1 (X1h), vb (Bh), q (Qh);
37 form b1 = integrate (-div(u1)*q);
38 form bb = integrate (-div(ub)*q);
39 form a1 = integrate (2*ddot(D(u1),D(v1)));
41 iopt.invert = true;
42 form inv_ab = integrate (2*ddot(D(ub),D(vb)), iopt);
43 form c = bb*inv_ab*trans(bb);
45 field ph (Qh, 0);
46 problem_mixed stokes (a1, b1, c);
47 stokes.solve (field(X1h,0), field(Qh,0), u1h, ph);
48 dout << catchmark("inv_lambda") << 0 << endl
49 << catchmark("u") << u1h
50 << catchmark("p") << ph;
51}
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 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
see the integrate_option page for the full documentation
see the space page for the full documentation
see the test page for the full documentation
see the test page for the full documentation
The contraction geometry: boundary conditions.
int main()
Definition field2bb.cc:58
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
csr< T, sequential > trans(const csr< T, sequential > &a)
trans(a): see the form page for the full documentation
Definition csr.h:455
STL namespace.
rheolef - reference manual
static space velocity_space(geo omega, string approx)
Definition contraction.h:41
static field velocity_field(space Xh)
Definition contraction.h:49
Definition sphere.icc:25