The University of Southampton
University of Southampton Institutional Repository

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


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.

Full text not available from this repository.

More information

Published date: 1993


Local EPrints ID: 71980
ISSN: 0022-1120
PURE UUID: 6dd2c6ce-7c54-4a64-b56e-b2815116fdf5

Catalogue record

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

Export record



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

University divisions

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton:

ePrints Soton supports OAI 2.0 with a base URL of

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.