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

09/13/2020
by   Jean-Luc Guermond, et al.
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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.

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