Toward a turbulence constitutive relation for geophysical flows
type: Item
instance of: scholarly article
title: Toward a turbulence constitutive relation for geophysical flows
zbMATH Open document ID: 0910.76028
author: J. R. Ristorcelli
published in: Theoretical and Computational Fluid Dynamics
publication date: 1999-04-21T00:00:00Z
review text: This article addresses and resolves the possibility of a constitutive relation for single-point second-order closures for classes of rotating and stratified flows relevant to geophysics. Physical situations in which a geostrophic balance is attained are described. We discuss also closely related issues of frame-indifference, horizontal divergence, and the Taylor-Proudman theorem. It is shown that, in the absence of vortex stretching along the axis of rotation, turbulence is frame-indifferent. Unfortunately, no turbulence closures are consistent with this frame-indifference that is frequently an important feature of rotating or quasi-geostrophic flows. Thus we derive and discuss a geostrophic constraint which ensures that the modeled second-moment equations are frame-invariant, in the appropriate limit. It is shown that rotating, stratified, and shallow water flows are situations in which such a constitutive relation procedure can be useful.
Mathematics Subject Classification ID: 76F10
Mathematics Subject Classification ID: 76U05
Mathematics Subject Classification ID: 86A05
Mathematics Subject Classification ID: 86A10
zbMATH DE Number: 1174714
zbMATH Keywords: single-point second-order closures
zbMATH Keywords: stratified flows
zbMATH Keywords: geostrophic balance
zbMATH Keywords: frame-indifference
zbMATH Keywords: horizontal divergence
zbMATH Keywords: Taylor-Proudman theorem
zbMATH Keywords: quasi-geostrophic flows
zbMATH Keywords: geostrophic constraint
zbMATH Keywords: shallow water flows
MaRDI profile type: Publication
full work available at URL: s001620050041
OpenAlex ID: W2129894458
DOI: 10.1007/S001620050041
Recommended article: Dynamical equations and turbulent closures in geophysics
Recommended article: Remarks on turbulent constitutive relations
Recommended article: Q5700903
Recommended article: Partial and spectral-viscosity models for geophysical flows
Recommended article: Q4892665
Recommended article: Constitutive equations for turbulent flows
Recommended article: Q5702454
Recommended article: Q5705289
Recommended article: Geophysical flows under location uncertainty, Part III SQG and frontal dynamics under strong turbulence conditions
description: scientific article; zbMATH DE number 1174714