Section: New Results

Development of an accurate and stable finite volume scheme for simulating low Mach number flows with or without acoustic waves

Starting from the Roe scheme and various low Mach fixes for the barotropic Euler PDE's system and using a 2-scale asymptotic analysis of the (semi)-discrete system, a new Roe based scheme is derived whose set of dissipative terms is chosen in order to ensure both accuracy, stability and checkerboard free behaviour. A paper on this topic is being finalized.