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

Peter E. Hamlington, Werner Dahm

Research output: Contribution to journalArticle

4 Citations (Scopus)

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.

Original languageEnglish (US)
Article number046311
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume80
Issue number4
DOIs
StatePublished - Oct 15 2009
Externally publishedYes

Fingerprint

Turbulent Flow
turbulent flow
Nonlocal Effects
Anisotropy
Gradient
Nonlocal Equations
Formulation
Low Reynolds number
Taylor Expansion
Infinite series
Strain Rate
formulations
Series Expansion
gradients
Transport Equation
anisotropy
low Reynolds number
Correlation Function
Turbulence
series expansion

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Statistical and Nonlinear Physics
  • Statistics and Probability

Cite this

Nonlocal form of the rapid pressure-strain correlation in turbulent flows. / Hamlington, Peter E.; Dahm, Werner.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 80, No. 4, 046311, 15.10.2009.

Research output: Contribution to journalArticle

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