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Rapid distortion analysis and direct simulation of compressible homogenous turbulence at finite mach number

Cambon, C., Coleman, G.N. and Mansour, N.N. (1993) Rapid distortion analysis and direct simulation of compressible homogenous turbulence at finite mach number Journal of Fluid Mechanics, 257, pp. 641-665. (doi:10.1017/S0022112093003258).

Record type: Article

Abstract

The effect of rapid mean compression on compressible turbulence at a range of turbulent Mach numbers is investigated. Rapid distortion theory (RDT) and direct numerical simulation results for the case of axial (one-dimensional) compression are used to illustrate the existence of two distinct rapid compression regimes. These regimes – the nearly solenoidal and the ‘pressure-released’ – are defined by a single parameter involving the timescales of the mean distortion, the turbulence, and the speed of sound. A general RDT formulation is developed and is proposed as a means of improving turbulence models for compressible flows. In contrast to the well-documented observation that ‘compressibility’ (measured, for example, by the turbulent Mach number) is often associated with a decrease in the growth rate of turbulent kinetic energy, we find that under rapid distortion compressibility can produce an amplification of the kinetic energy growth rate. We also find that as the compressibility increases, the magnitude of the pressure–dilation correlation increases, in absolute terms, but its relative importance decreases compared to the magnitude of the kinetic energy production.

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Published date: 1993

Identifiers

Local EPrints ID: 71980
URI: http://eprints.soton.ac.uk/id/eprint/71980
ISSN: 0022-1120
PURE UUID: 6dd2c6ce-7c54-4a64-b56e-b2815116fdf5

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Date deposited: 14 Jan 2010
Last modified: 18 Jul 2017 23:57

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Contributors

Author: C. Cambon
Author: G.N. Coleman
Author: N.N. Mansour

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