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navier_stokes_solve.icc
Go to the documentation of this file.
using namespace std;
int navier_stokes_solve (
Float Re, Float delta_t, field l0h, field& uh, field& ph,
size_t& max_iter, Float& tol, odiststream *p_derr=0) {
const space& Xh = uh.get_space();
const space& Qh = ph.get_space();
string label = "navier-stokes-" + Xh.get_geo().name();
integrate_option iopt;
iopt.set_family(integrate_option::gauss_lobatto);
iopt.set_order(Xh.degree());
trial u (Xh), p (Qh);
test v (Xh), q (Qh);
form m = integrate (dot(u,v), iopt);
form a = integrate (2*ddot(D(u),D(v)) + 1.5*(Re/delta_t)*dot(u,v), iopt);
form b = integrate (-div(u)*q, iopt);
problem_mixed stokes (a, b);
if (p_derr != 0) *p_derr << "[" << label << "] #n |du/dt|" << endl;
field uh1 = uh;
for (size_t n = 0; true; n++) {
field uh2 = uh1;
uh1 = uh;
field uh_star = 2.0*uh1 - uh2;
characteristic X1 ( -delta_t*uh_star);
characteristic X2 (-2.0*delta_t*uh_star);
field l1h = integrate (dot(compose(uh1,X1),v), iopt);
field l2h = integrate (dot(compose(uh2,X2),v), iopt);
field lh = l0h + (Re/delta_t)*(2*l1h - 0.5*l2h);
stokes.solve (lh, field(Qh,0), uh, ph);
field duh_dt = (3*uh - 4*uh1 + uh2)/(2*delta_t);
Float residual = sqrt(m(duh_dt,duh_dt));
if (p_derr != 0) *p_derr << "[" << label << "] "<< n << " " << residual << endl;
if (residual < tol) {
tol = residual;
max_iter = n;
return 0;
}
if (n == max_iter-1) {
tol = residual;
return 1;
}
}
}
lh
field lh(Float epsilon, Float t, const test &v)
Definition burgers_diffusion_operators.icc:25
Float
see the Float page for the full documentation
characteristic
see the characteristic page for the full documentation
field
see the field page for the full documentation
form
see the form page for the full documentation
problem_mixed
see the problem_mixed page for the full documentation
space
see the space page for the full documentation
test
see the test page for the full documentation
trial
see the test page for the full documentation
u
point u(const point &x)
Definition diffusion_transport_tensor_exact.icc:25
std
STL namespace.
navier_stokes_solve
int navier_stokes_solve(Float Re, Float delta_t, field l0h, field &uh, field &ph, size_t &max_iter, Float &tol, odiststream *p_derr=0)
Definition navier_stokes_solve.icc:26
p
Definition sphere.icc:25
u
Definition leveque.h:25