28 size_t& max_iter,
Float& tol, odiststream *p_derr=0) {
29 const space& Xh = uh.get_space();
30 const space& Qh = ph.get_space();
31 string label =
"navier-stokes-" + Xh.get_geo().name();
32 integrate_option iopt;
33 iopt.set_family(integrate_option::gauss_lobatto);
34 iopt.set_order(Xh.degree());
37 form m = integrate (dot(
u,v), iopt);
38 form a = integrate (2*ddot(D(
u),D(v)) + 1.5*(Re/delta_t)*dot(
u,v), iopt);
39 form b = integrate (-div(
u)*q, iopt);
41 if (p_derr != 0) *p_derr <<
"[" << label <<
"] #n |du/dt|" << endl;
43 for (
size_t n = 0;
true; n++) {
46 field uh_star = 2.0*uh1 - uh2;
49 field l1h = integrate (dot(compose(uh1,X1),v), iopt);
50 field l2h = integrate (dot(compose(uh2,X2),v), iopt);
51 field lh = l0h + (Re/delta_t)*(2*l1h - 0.5*l2h);
52 stokes.solve (
lh,
field(Qh,0), uh, ph);
53 field duh_dt = (3*uh - 4*uh1 + uh2)/(2*delta_t);
54 Float residual = sqrt(m(duh_dt,duh_dt));
55 if (p_derr != 0) *p_derr <<
"[" << label <<
"] "<< n <<
" " << residual << endl;
61 if (n == max_iter-1) {
field lh(Float epsilon, Float t, const test &v)
see the Float page for the full documentation
see the characteristic page for the full documentation
see the field 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
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)