Convergence of a finite volume scheme for the compressible Navier–Stokes system
Convergence of a finite volume scheme for the compressible Navier–Stokes system
We study convergence of a finite volume scheme for the compressible (barotropic) Navier–Stokes system. First we prove the energy stability and consistency of the scheme and show that the numerical solutions generate a dissipative measure-valued solution of the system. Then by the dissipative measure-valued-strong uniqueness principle, we conclude the convergence …