title: 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 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.
authors.affiliation: Laboratory for Turbulence and Combustion (LTC), Department of Aerospace Engineering, The University of Michigan, Ann Arbor, Michigan 48109-2140, USA. peterha@umich.edu
authors.forename: Peter E
authors.initials: PE
authors.lastname: Hamlington
authors.forename: Werner J A
authors.initials: WJ
authors.lastname: Dahm
mesh_terms: D003198:Computer Simulation; D055119:Elastic Modulus; D008962:Models, Theoretical; D017711:Nonlinear Dynamics; D011312:Pressure; D012212:Rheology / Q000379:methods*; D013223:Statistics as Topic; D013314:Stress, Mechanical