slideshow 3

Current Problems in Numerical Analysis

On the convergence of a MAC scheme for the compressible Navier-Stokes system

Bangwei She
Institute of Mathematics of the CAS

 

Friday, 22. November 2019 - 9:00 to 10:00

in IM, front building, third floor

We propose a finite difference Marker-And-Cell scheme for the compressible Navier-Stokes system. First, we show the stability and consistency of the numerical solution. Next, we prove the convergence of the numerical solution to the strong solution on the lifespan of the latter thanks to the dissipative measure-valued weak-strong uniqueness argument. Finally, employing the relative entropy functional, we show the convergence rate of the numerical solution.