Asymptotic and numerical analysis of an inviscid bounded vortex flow at low Mach number

Authors:
Anne Cadiou;Lionel Le Penven;Marc Buffat
Affiliations:
Université de Lyon, CNRS, ícole Centrale de Lyon, Insa de Lyon, Université de Lyon 1, Laboratoire de Mécanique des Fluides et d'Acoustique, 36, av. Guy de Collongue, F-69134 Ec ...;Université de Lyon, CNRS, ícole Centrale de Lyon, Insa de Lyon, Université de Lyon 1, Laboratoire de Mécanique des Fluides et d'Acoustique, 36, av. Guy de Collongue, F-69134 Ec ...;Université de Lyon, CNRS, ícole Centrale de Lyon, Insa de Lyon, Université de Lyon 1, Laboratoire de Mécanique des Fluides et d'Acoustique, 36, av. Guy de Collongue, F-69134 Ec ...
Venue:
Journal of Computational Physics
Year:
2008

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Abstract

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.