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The shape of vortices in quasi-geostrophic turbulence

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The shape of vortices in quasi-geostrophic turbulence. / Reinaud, Jean Noel; Dritschel, David Gerard; Koudella, CR.

In: Journal of Fluid Mechanics, Vol. 474, 10.01.2003, p. 175-192.

Research output: Contribution to journalArticle

Harvard

Reinaud, JN, Dritschel, DG & Koudella, CR 2003, 'The shape of vortices in quasi-geostrophic turbulence' Journal of Fluid Mechanics, vol. 474, pp. 175-192. https://doi.org/10.1017/S0022112002002719

APA

Reinaud, J. N., Dritschel, D. G., & Koudella, CR. (2003). The shape of vortices in quasi-geostrophic turbulence. Journal of Fluid Mechanics, 474, 175-192. https://doi.org/10.1017/S0022112002002719

Vancouver

Reinaud JN, Dritschel DG, Koudella CR. The shape of vortices in quasi-geostrophic turbulence. Journal of Fluid Mechanics. 2003 Jan 10;474:175-192. https://doi.org/10.1017/S0022112002002719

Author

Reinaud, Jean Noel ; Dritschel, David Gerard ; Koudella, CR. / The shape of vortices in quasi-geostrophic turbulence. In: Journal of Fluid Mechanics. 2003 ; Vol. 474. pp. 175-192.

Bibtex - Download

@article{aa8612dd669e4954bb40475261a50d75,
title = "The shape of vortices in quasi-geostrophic turbulence",
abstract = "The present work discusses the most commonly occurring shape of the coherent vortical structures in rapidly rotating stably stratified turbulence, under the quasi-geostrophic approximation. In decaying turbulence, these vortices-coherent regions of the materially-invariant potential vorticity-dominate the flow evolution, and indeed the flow evolution is governed by their interactions. An analysis of several exceptionally high-resolution simulations of quasi-geostrophic turbulence is performed. The results indicate that the population of vortices exhibits a mean height-to-width aspect ratio less than unity, in fact close to 0.8.This finding is justified here by a simple model, in which vortices are taken to be ellipsoids of uniform potential vorticity. The model focuses on steady ellipsoids within a uniform background strain flow. This background flow approximates the effects of surrounding vortices in a turbulent flow on a given vortex. It is argued that the vortices which are able to withstand the highest levels of strain are those most likely to be found in the actual turbulent flow. Our calculations confirm that the optimal height-to-width aspect ratio is close to 0.8 for a wide range of background straining flows.",
keywords = "Ellipsoidal vortices, Stratified fluid, Vortex, Algorithm, Flows",
author = "Reinaud, {Jean Noel} and Dritschel, {David Gerard} and CR Koudella",
note = "Partially supported by the UK EPSRC (Grant GR/N11711)",
year = "2003",
month = "1",
day = "10",
doi = "10.1017/S0022112002002719",
language = "English",
volume = "474",
pages = "175--192",
journal = "Journal of Fluid Mechanics",
issn = "0022-1120",
publisher = "CAMBRIDGE UNIV PRESS",

}

RIS (suitable for import to EndNote) - Download

TY - JOUR

T1 - The shape of vortices in quasi-geostrophic turbulence

AU - Reinaud, Jean Noel

AU - Dritschel, David Gerard

AU - Koudella, CR

N1 - Partially supported by the UK EPSRC (Grant GR/N11711)

PY - 2003/1/10

Y1 - 2003/1/10

N2 - The present work discusses the most commonly occurring shape of the coherent vortical structures in rapidly rotating stably stratified turbulence, under the quasi-geostrophic approximation. In decaying turbulence, these vortices-coherent regions of the materially-invariant potential vorticity-dominate the flow evolution, and indeed the flow evolution is governed by their interactions. An analysis of several exceptionally high-resolution simulations of quasi-geostrophic turbulence is performed. The results indicate that the population of vortices exhibits a mean height-to-width aspect ratio less than unity, in fact close to 0.8.This finding is justified here by a simple model, in which vortices are taken to be ellipsoids of uniform potential vorticity. The model focuses on steady ellipsoids within a uniform background strain flow. This background flow approximates the effects of surrounding vortices in a turbulent flow on a given vortex. It is argued that the vortices which are able to withstand the highest levels of strain are those most likely to be found in the actual turbulent flow. Our calculations confirm that the optimal height-to-width aspect ratio is close to 0.8 for a wide range of background straining flows.

AB - The present work discusses the most commonly occurring shape of the coherent vortical structures in rapidly rotating stably stratified turbulence, under the quasi-geostrophic approximation. In decaying turbulence, these vortices-coherent regions of the materially-invariant potential vorticity-dominate the flow evolution, and indeed the flow evolution is governed by their interactions. An analysis of several exceptionally high-resolution simulations of quasi-geostrophic turbulence is performed. The results indicate that the population of vortices exhibits a mean height-to-width aspect ratio less than unity, in fact close to 0.8.This finding is justified here by a simple model, in which vortices are taken to be ellipsoids of uniform potential vorticity. The model focuses on steady ellipsoids within a uniform background strain flow. This background flow approximates the effects of surrounding vortices in a turbulent flow on a given vortex. It is argued that the vortices which are able to withstand the highest levels of strain are those most likely to be found in the actual turbulent flow. Our calculations confirm that the optimal height-to-width aspect ratio is close to 0.8 for a wide range of background straining flows.

KW - Ellipsoidal vortices

KW - Stratified fluid

KW - Vortex

KW - Algorithm

KW - Flows

UR - http://www.scopus.com/inward/record.url?scp=0037428355&partnerID=8YFLogxK

U2 - 10.1017/S0022112002002719

DO - 10.1017/S0022112002002719

M3 - Article

VL - 474

SP - 175

EP - 192

JO - Journal of Fluid Mechanics

T2 - Journal of Fluid Mechanics

JF - Journal of Fluid Mechanics

SN - 0022-1120

ER -

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ID: 231391