Rheolef  7.2
an efficient C++ finite element environment
streamf_cavity.icc

The stream function for the 3D driven cavity benchmark.

The stream function for the 3D driven cavity benchmark

void streamf_cavity_solver (const space& Xh, problem& pa, form& a, form& b) {
string valued = (Xh.size() == 3) ? "vector" : "scalar";
space Ph (Xh.get_geo(), "P2", valued);
Ph.block("top"); Ph.block("bottom");
size_t d = Xh.get_geo().dimension();
if (d == 3) {
Ph.block("back"); Ph.block("front");
} else {
Ph.block("left"); Ph.block("right");
}
trial u (Xh), psi (Ph); test phi (Ph);
a = (d == 3) ? integrate (ddot(grad(psi),grad(phi)))
b = (d == 3) ? integrate (dot(curl(u),phi))
pa = problem (a);
}
field streamf (const field& uh, const problem& pa, const form& a, const form& b) {
field lh = b*uh;
field psi_h (b.get_second_space(), 0);
pa.solve (lh, psi_h);
return psi_h;
}
field lh(Float epsilon, Float t, const test &v)
Float phi(const point &nu, Float a, Float b)
see the field page for the full documentation
see the form page for the full documentation
see the problem 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
point u(const point &x)
rheolef::details::is_vec dot
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 grad(const Expr &expr)
grad(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::curl > >::type curl(const Expr &expr)
curl(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
field streamf(const field &uh, const problem &pa, const form &a, const form &b)
void streamf_cavity_solver(const space &Xh, problem &pa, form &a, form &b)
Definition: phi.h:25
Definition: leveque.h:25