Asymptotic and numerical analysis of an inviscid bounded vortex flow at low Mach number
The inviscid low Mach number compressible flow developing from a plane incompressible vortex with constant density in a bounded domain is studied. A reference solution for this model flow is obtained by two-time scale asymptotic development in the zero Mach number limit. The solution can be decomposed into variations with a slow convective and a fast acoustic time scale. A selection of numerical schemes widely used to solve unsteady compressible low Mach number flows has been implemented to simulate this flow for two Mach number values, M=0.1 and M=0.01. The ability of the schemes to predict low Mach number flows and their behavior with the value of the Mach number have been analyzed.
asymptotic development compressible low mach number flow explicit roe scheme weno and high-order-compact schemes implicit scheme