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The Modeling of Variable Density Turbulent Flows. A review of first-order closure schemes

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Abstract

The paper is intended as a review of where eddy-viscosity turbulence models have reached in accounting for the several distinct effects of variable density and high-Mach number behaviour on the development of turbulent shear flows. Three generations of ``compressible models'' are depicted: a first one based on variable density and compressible adjustments of ``incompressible'' schemes, a second one in which it is presumed that explicit dilatational terms can account for variable density and compressibility effects, and a third one, where such effects are taken implicitly in association with structural changes of the turbulent field. The latter are hardly tractable when using first-order closure schemes, but more reliable than the former in accounting for most observed variable density and compressibility effects in turbulent shear flows.

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  1. Institut de Mécaniques des Fluides de Toulouse, UMR CNRS/INP-UPS 5502, Allée du Professeur Camille Soula, F-31400, Toulouse, France

    Patrick Chassaing

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Chassaing, P. The Modeling of Variable Density Turbulent Flows. A review of first-order closure schemes. Flow, Turbulence and Combustion 66, 293–332 (2001). https://doi.org/10.1023/A:1013533322651

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