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Nonlocal form of the rapid pressure-strain correlation in turbulent flows

Peter E. Hamlington* and Werner J. A. Dahm

  • Laboratory for Turbulence and Combustion (LTC), Department of Aerospace Engineering, The University of Michigan, Ann Arbor, Michigan 48109-2140, USA

  • *Corresponding author; peterha@umich.edu
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Phys. Rev. E 80, 046311 – Published 15 October, 2009

DOI: https://doi.org/10.1103/PhysRevE.80.046311

Abstract

A new fundamentally based formulation of nonlocal effects in the rapid pressure-strain correlation in turbulent flows has been obtained. The resulting explicit form for the rapid pressure-strain correlation accounts for nonlocal effects produced by spatial variations in the mean-flow velocity gradients and is derived through Taylor expansion of the mean velocity gradients appearing in the exact integral relation for the rapid pressure-strain correlation. The integrals in the resulting series expansion are solved for high- and low-Reynolds number forms of the longitudinal correlation function f(r), and the resulting nonlocal rapid pressure-strain correlation is expressed as an infinite series in terms of Laplacians of the mean strain rate tensor. This formulation is used to obtain a nonlocal transport equation for the turbulence anisotropy that is expected to provide improved predictions of the anisotropy in strongly inhomogeneous flows.

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Outline

Information

Phys. Rev. E 80, 046311– Published 15 October, 2009
  • Received 11 May 2009

© 2009 American Physical Society

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