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dc.contributor.authorTran, Chuong Van
dc.contributor.authorDritschel, David Gerard
dc.identifier.citationTran , 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 .
dc.identifier.otherPURE: 313539
dc.identifier.otherPURE UUID: 426326f3-4638-4e3c-8f2d-28d0c41da526
dc.identifier.otherWOS: 000236494100020
dc.identifier.otherScopus: 33646791856
dc.identifier.otherORCID: /0000-0002-1790-8280/work/61133275
dc.identifier.otherORCID: /0000-0001-6489-3395/work/64697762
dc.description.abstractThe 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.
dc.relation.ispartofJournal of Fluid Mechanicsen
dc.rights(c)2006 Cambridge University Pressen
dc.subjectDrift-wave turbulenceen
dc.subject2-dimensional turbulenceen
dc.subjectSpectral distributionen
dc.subjectQA Mathematicsen
dc.titleImpeded inverse energy transfer in the Charney--Hasegawa--Mima model of quasi-geostrophic flowsen
dc.typeJournal articleen
dc.description.versionPublisher PDFen
dc.contributor.institutionUniversity of St Andrews. Applied Mathematicsen
dc.description.statusPeer revieweden

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