Title: Low Mach number limit of a pressure correction MAC scheme for compressible barotropic flows,
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.