Analysis of an alternative Navier-Stokes system: Weak entropy solutions and a convergent numerical scheme

03/04/2022

∙

by   Magnus Svärd, et al.

∙

0

∙

share

We consider an alternative Navier-Stokes model for compressible viscous ideal gases, originally proposed in <cit.>. We derive a priori estimates that are sufficiently strong to support a weak entropy solution of the system. Guided by these estimates, we propose a finite volume scheme, derive the analogous estimates and demonstrate grid convergence towards a weak entropy solution. Furthermore, this existence proof is valid for "large" initial data and no a priori assumptions on the solution are needed.