Abstract : In this talk, we are interested in the accurate approximation of acoustic perturbations in a low Mach flow. The analysis will be based on the one and two scales asymptotic expansion of the Euler system in the low Mach regime. From this analysis, classical numerical schemes for stationary low Mach flows will be proved to be not accurate in general. A new set of dissipative terms will be derived for ensuring stability of the base flow and the acoustic perturbations. Benefits for the computation of acoustic perturbations, but also for the computation of stationary flows will be shown.
