The inertia term of the Navier-Stokes equation with the discontinuous Galerkin method – Cockburn, Kanschat & Schotzau variant.
The inertia term of the Navier-Stokes equation with the discontinuous Galerkin method – Cockburn, Kanschat & Schotzau variant
integrate_option iopt = integrate_option())
{
return
integrate (- dot(trans(grad_h(v))*w,
u) - 0.5*div_h(v)*dot(
u,w), iopt)
+ integrate ("internal_sides",
dot(average(
u),normal())*dot(jump(v),average(w))
+ 0.5*dot(jump(v),normal())
*(dot(average(
u),average(w)) + 0.25*dot(jump(
u),jump(w))), iopt)
+ integrate (
"boundary", 0.5*dot(v,normal())*dot(
u,w), iopt);
}
integrate_option iopt = integrate_option())
{
return integrate(
"boundary", -dot(
g(),normal())*dot(
g(),v), iopt);
}
see the field page for the full documentation
see the test page for the full documentation
see the test page for the full documentation
form inertia(W w, U u, V v, integrate_option iopt=integrate_option())
field inertia_fix_rhs(test v, integrate_option iopt=integrate_option())