NAJul 5, 2017
Low Mach number limit of a pressure correction MAC scheme for compressible barotropic flowsRaphaele Herbin, J. -C. Latché, K. Saleh
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.