Low Mach number limit of a pressure correction MAC scheme for compressible barotropic flows
arXiv:1703.01231
Abstract
We study the incompressible limit of a pressure correction MAC scheme [3] for the unstationary compressible barotropic Navier-Stokes equations. Provided the initial data are well-prepared, the solution of the numerical scheme converges, as the Mach number tends to zero, towards the solution of the classical pressure correction inf-sup stable MAC scheme for the incompressible Navier-Stokes equations.
Finite Volumes for Complexe Applicxations 8, Jun 2017, Lille, France