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Cite Details

Susan Kurien, Leslie Smith and Beth Wingate, "On the two-point correlation of potential vorticity in rotating and stratified flows", J. Fluid Mech., vol. 555, pp. 131--140 , 2006

Abstract

A framework is developed to describe the two-point statistics of potential vorticity in rotating and stratified turbulence as described by the Boussinesq equations. The Karman-Howarth equation for the dynamics of the two-point correlation function of potential vorticity reveals the possibility of inertial-range dynamics in certain regimes in the Rossby, Froude, Prandtl and Reynolds number parameters. For the case of large Rossby and Froude numbers, and for the case of quasi-geostrophic dynamics, a linear scaling law with 2/3 prefactor is derived for the third-order mixed correlation between potential vorticity and velocity, a result that is analogous to the Kolmogorov 4/5-law for the third-order velocity structure function in turbulence theory.

BibTeX Entry

@article{kurien-2006-two-point-correlation,
author = {Susan Kurien and Leslie Smith and Beth Wingate},
title = {On the two-point correlation of potential vorticity in rotating and stratified flows},
year = {2006},
urlpdf = {http://math.lanl.gov/~skurien/papers/KurSmiWin_jfm06.pdf},
journal = {J. Fluid Mech.},
volume = {555},
pages = {131--140 }
}