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

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 form 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())
Definition inertia.h:26
field inertia_fix_rhs(test v, integrate_option iopt=integrate_option())
Definition inertia.h:37
Definition cavity_dg.h:25
Definition leveque.h:25