Second-order invariant domain preserving approximation of the compressible Navier–Stokes equations

09/13/2020

∙

by   Jean-Luc Guermond, et al.

∙

0

∙

share

We present a fully discrete approximation technique for the compressible Navier-Stokes equations that is second-order accurate in time and space, semi-implicit, and guaranteed to be invariant domain preserving. The restriction on the time step is the standard hyperbolic CFL condition, ie τ≲𝒪(h)/V where V is some reference velocity scale and h the typical meshsize.