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dc.contributor.authorTran, Chuong Van
dc.contributor.authorDritschel, David Gerard
dc.date.accessioned2010-12-01T15:56:57Z
dc.date.available2010-12-01T15:56:57Z
dc.date.issued2006-07-25
dc.identifier.citationTran , C V & Dritschel , D G 2006 , ' Vanishing enstrophy dissipation in two-dimensional Navier--Stokes turbulence in the inviscid limit ' Journal of Fluid Mechanics , vol 559 , pp. 107-116 . DOI: 10.1017/S0022112006000577en
dc.identifier.issn0022-1120
dc.identifier.otherPURE: 313519
dc.identifier.otherPURE UUID: 33224dab-251e-4cf4-b042-d1eb0742ca15
dc.identifier.otherWOS: 000239832400005
dc.identifier.urihttp://hdl.handle.net/10023/1564
dc.identifier.urihttp://www.scopus.com/inward/record.url?scp=33746335656&partnerID=8YFLogxKen
dc.identifier.urihttp://journals.cambridge.org/action/displayIssue?iid=454619en
dc.description.abstractBatchelor (Phys. Fluids, vol. 12, 1969, p. 233) developed a theory of two-dimensional turbulence based on the assumption that the dissipation of enstrophy (mean-square vorticity) tends to a finite non-zero constant in the limit of infinite Reynolds number Re. Here, by assuming power-law spectra, including the one predicted by Batchelor's theory, we prove that the maximum dissipation of enstrophy is in fact zero in this limit. Specifically, as Re -> infinity, the dissipation approaches zero no slower than (ln Re)(-1/2). The physical reason behind this result is that the decrease of viscosity enhances the production of both palinstrophy (mean-square vorticity gradients) and its dissipation - but in such a way that the net growth of palinstrophy is less rapid than the decrease of viscosity, resulting in vanishing enstrophy dissipation. This result generalizes to a rich class of quasi-geostrophic models as well as to the case of a passive tracer in layerwise-two-dimensional turbulent flows having bounded enstrophy.en
dc.format.extent10en
dc.language.isoeng
dc.relation.ispartofJournal of Fluid Mechanicsen
dc.rights(c)2006 Cambridge University Pressen
dc.subjectQuasi-geostrophic turbulenceen
dc.subjectSpectral distributionen
dc.subjectEnergyen
dc.subjectDecayen
dc.subjectEquationsen
dc.subjectQA Mathematicsen
dc.subject.lccQAen
dc.titleVanishing enstrophy dissipation in two-dimensional Navier--Stokes turbulence in the inviscid limiten
dc.typeJournal articleen
dc.description.versionPublisher PDFen
dc.contributor.institutionUniversity of St Andrews. Applied Mathematicsen
dc.identifier.doihttp://dx.doi.org/10.1017/S0022112006000577
dc.description.statusPeer revieweden


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