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Title: Impeded inverse energy transfer in the Charney--Hasegawa--Mima model of quasi-geostrophic flows
Authors: Tran, Chuong Van
Dritschel, David Gerard
Keywords: Drift-wave turbulence
2-dimensional turbulence
Spectral distribution
Vortices
Cascade
Fluid
Plane
QA Mathematics
Issue Date: 25-Mar-2006
Citation: Tran , C V & Dritschel , D G 2006 , ' Impeded inverse energy transfer in the Charney--Hasegawa--Mima model of quasi-geostrophic flows ' Journal of Fluid Mechanics , vol 551 , pp. 435-443 .
Abstract: The behaviour of turbulent flows within the single-layer quasi-geostrophic (Charney-Hasegawa-Mima) model is shown to be strongly dependent on the Rossby deformation wavenumber lambda (or free-surface elasticity). Herein, we derive a bound oil the inverse energy transfer, specifically on the growth rate dl/dt of the characteristic length scale e representing the energy centroid. It is found that dl/dt <= 2 parallel to q parallel to(infinity)/(l(s)lambda(2)), where parallel to q parallel to(infinity) is the supremum of the potential vorticity and l(s) represents the potential enstrophy centroid of the reservoir, both invariant. This result implies that in the potential-energy-dominated regime (l >= l(s) >> lambda(-1)) the inverse energy transfer is strongly impeded, in the sense that under the usual time scale no significant transfer of energy to larger scales occurs. The physical implication is that the elasticity of the free surface impedes turbulent energy transfer in wavenumber space, effectively rendering large-scale vortices long-lived and inactive. Results from numerical simulations of forced-dissipative turbulence confirm this prediction.
Version: Publisher PDF
Status: Peer reviewed
URI: http://hdl.handle.net/10023/1565
DOI: http://dx.doi.org/10.1017/S0022112005008384
ISSN: 0022-1120
Type: Journal article
Rights: (c)2006 Cambridge University Press
Appears in Collections:University of St Andrews Research
Applied Mathematics Research



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