Pseudo-Sound Constitutive Relationship for the Dilatational Covariances inCompressible Turbulence: An Analytical Theory

摘要

The mathematical consequences of a few simple scaling assumptions about theeffects of compressibility are explored using a simple singular perturbation idea and the methods of statistical fluid mechanics. Representations for the pressure-dilation and dilatational dissipation covariances appearing in single-point moment closures for compressible turbulence are obtained. While the results are expressed in the context of a second-order statistical closure they provide some interesting and very clear physical metaphors for the effects of compressibility that have not been seen using more traditional linear stability methods. In the limit of homogeneous turbulence with quasi-normal large-scales the expressions