Nonlocal Form of the Rapid Pressure-Strain Correlation in Turbulent Flows
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 , and the resulting nonlocal rapid pressure-strain correlation is expressed as an infinite series in terms of Laplacians of the mean strain rate tensor. The new 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.
Keywords
Cite
@article{arxiv.0906.2755,
title = {Nonlocal Form of the Rapid Pressure-Strain Correlation in Turbulent Flows},
author = {Peter E. Hamlington and Werner J. A. Dahm},
journal= {arXiv preprint arXiv:0906.2755},
year = {2015}
}
Comments
11 pages, submitted to Phys. Rev. E