Rheolef  7.2
an efficient C++ finite element environment
oldroyd_theta_scheme1.h
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1 template<class P>
27 : We(0), alpha(8./9), a(1), Re(1), delta_t(0.025), tol(1e-6), max_iter(500),
28  Th(), Xh(), Qh(), b(), c(), d(), mt(), inv_mt(), mu(), mp(), th(), thb(),
29  theta(), lambda(), eta(), nu(), c1(), c2(), c3(), c4(), c5(), stokes() {}
30 template<class P>
31 void oldroyd_theta_scheme<P>::reset(const geo& omega) {
32  Th = space (omega, "P1d", "tensor");
33  Xh = P::velocity_space (omega, "P2");
34  Qh = space (omega, "P1d");
35  theta = 1-1/sqrt(2.);
36  lambda = Re/(theta*delta_t);
37  eta = ((1 - alpha)*We + theta*delta_t)/(We + theta*delta_t);
38  nu = 1/((1-2*theta)*delta_t);
39  c1 = We/(We + theta*delta_t);
40  c2 = - We*theta*delta_t/(We + theta*delta_t);
41  c3 = alpha*theta*delta_t/(We + theta*delta_t);
42  c4 = 1/((1-2*theta)*delta_t) - 1/We;
43  c5 = alpha/We;
44  trial u (Xh), tau(Th), p (Qh);
45  test v (Xh), xi (Th), q (Qh);
46  mt = integrate (ddot(tau,xi));
47  mu = integrate (dot(u,v));
48  mp = integrate (p*q);
49  integrate_option iopt;
50  iopt.invert = true;
51  inv_mt = integrate (ddot(tau,xi), iopt);
52  b = integrate (-ddot(tau,D(v)));
53  c = integrate (lambda*dot(u,v) + 2*eta*ddot(D(u),D(v)));
54  d = integrate (-div(u)*q);
55  stokes = problem_mixed (c, d);
56  stokes.set_metric (mp);
57 }
see the geo page for the full documentation
see the problem_mixed 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)
Float alpha[pmax+1][pmax+1]
Definition: bdf.icc:28
rheolef::details::is_vec dot
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
std::enable_if< details::has_field_rdof_interface< 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.
std::enable_if< details::has_field_rdof_interface< 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
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
Definition: eta.h:25
Definition: nu.h:26
void reset(const geo &omega)
Definition: sphere.icc:25
Definition: leveque.h:25