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dc.contributor.authorSandor, Balazs
dc.contributor.authorTorma, Peter
dc.contributor.authorSzabo, K Gabor
dc.contributor.authorZhang, Hong
dc.date.accessioned2019-07-04T12:40:19Z
dc.date.available2019-07-04T12:40:19Z
dc.date.issued2019
dc.identifier.issn1446-1811
dc.identifier.doi10.1017/S1446181119000051
dc.identifier.urihttp://hdl.handle.net/10072/385927
dc.description.abstractWe analyse the vorticity production of lake-scale circulation in wind-induced shallow flows using a linear elliptic partial differential equation. The linear equation is derived from the vorticity form of the shallow-water equation using a linear bed friction formula. The features of the wind-induced steady-state flow are analysed in a circular basin with topography as a concave paraboloid, having a quadratic pile in the middle of the basin. In our study, the size of the pile varies by a size parameter. The vorticity production due to the gradient in the topography (and the distance of the boundary) makes the streamlines parallel to topographical contours, and beyond a critical size parameter, it results in a secondary vortex pair. We compare qualitatively and quantitatively the steady-state circulation patterns and vortex evolution of the flow fields calculated by our linear vorticity model and the full, nonlinear shallow-water equations. From these results, we hypothesize that the steady-state topographical vorticity production in lake-scale wind-induced circulations can be described by the equilibrium of the wind friction field and the bed friction field. Moreover, the latter can also be considered as a linear function of the velocity vector field, and hence the problem can be described by a linear equation.
dc.description.peerreviewedYes
dc.languageEnglish
dc.language.isoeng
dc.publisherCAMBRIDGE UNIV PRESS
dc.relation.ispartofpagefrom148
dc.relation.ispartofpageto160
dc.relation.ispartofissue2
dc.relation.ispartofjournalANZIAM JOURNAL
dc.relation.ispartofvolume61
dc.subject.fieldofresearchMathematical sciences
dc.subject.fieldofresearchEnvironmental sciences
dc.subject.fieldofresearchEngineering
dc.subject.fieldofresearchcode49
dc.subject.fieldofresearchcode41
dc.subject.fieldofresearchcode40
dc.titleON THE TOPOGRAPHY-DRIVEN VORTICITY PRODUCTION IN SHALLOW LAKES
dc.typeJournal article
dc.type.descriptionC1 - Articles
dc.type.codeC - Journal Articles
gro.hasfulltextNo Full Text
gro.griffith.authorZhang, Hong


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