Publications / Journal Article

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

Guermond, Jean L.; Maier, Matthias; Popov, Bojan; Tomas, Ignacio T.

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, i.e. τ≲O(h)∕V where V is some reference velocity scale and h the typical meshsize.