dc.contributor.author | Sandor, Balazs | |
dc.contributor.author | Torma, Peter | |
dc.contributor.author | Szabo, K Gabor | |
dc.contributor.author | Zhang, Hong | |
dc.date.accessioned | 2019-07-04T12:40:19Z | |
dc.date.available | 2019-07-04T12:40:19Z | |
dc.date.issued | 2019 | |
dc.identifier.issn | 1446-1811 | |
dc.identifier.doi | 10.1017/S1446181119000051 | |
dc.identifier.uri | http://hdl.handle.net/10072/385927 | |
dc.description.abstract | We 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.peerreviewed | Yes | |
dc.language | English | |
dc.language.iso | eng | |
dc.publisher | CAMBRIDGE UNIV PRESS | |
dc.relation.ispartofpagefrom | 148 | |
dc.relation.ispartofpageto | 160 | |
dc.relation.ispartofissue | 2 | |
dc.relation.ispartofjournal | ANZIAM JOURNAL | |
dc.relation.ispartofvolume | 61 | |
dc.subject.fieldofresearch | Mathematical sciences | |
dc.subject.fieldofresearch | Environmental sciences | |
dc.subject.fieldofresearch | Engineering | |
dc.subject.fieldofresearchcode | 49 | |
dc.subject.fieldofresearchcode | 41 | |
dc.subject.fieldofresearchcode | 40 | |
dc.title | ON THE TOPOGRAPHY-DRIVEN VORTICITY PRODUCTION IN SHALLOW LAKES | |
dc.type | Journal article | |
dc.type.description | C1 - Articles | |
dc.type.code | C - Journal Articles | |
gro.hasfulltext | No Full Text | |
gro.griffith.author | Zhang, Hong | |