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Comparison of a pressure–strain rate theory with simulations

Published online by Cambridge University Press:  26 April 2006

J. Weinstock
J. Weinstock
Affiliation:
Aeronomy Laboratory, National Oceanic and Atmospheric Administration, Boulder, CO 80303, USA
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Abstract

A theoretical expression for the slow part (the nonlinear fluctuation part) of the pressure–strain rate is compared with simulations of anisotropic homogeneous flows. The purpose is to determine the quantitative accuracy of the theory and to test its qualitative predictions that the generalized Rotta coefficient, a non-dimensionalized ratio of slow term to kinetic energy anisotropy, varies with direction and can be negative (this is counter to isotropy return). Comparisons are made between theoretical and simulated values of the slow term and of the generalized Rotta coefficients. Also compared to simulations is an extension of the theory to account for non-stationary turbulence fields. The implication of the comparison for two-point closure theories and for Reynolds stress modelling is pointed out.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 205 , August 1989 , pp. 195 - 214
Copyright
© 1989 Cambridge University Press

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