Southwick, OR;
Johnson, ER;
McDonald, NR;
(2015)
A point vortex model for the formation of ocean eddies by flow separation.
Physics of Fluids
, 27
(1)
, Article 016604. 10.1063/1.4906112.
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Abstract
A simple model for the formation of ocean eddies by flow separation from sharply curved horizontal boundary topography is developed. This is based on the Brown–Michael model for two-dimensional vortex shedding, which is adapted to more realistically model mesoscale oceanic flow by including a deforming free surface. With a free surface, the streamfunction for the flow is not harmonic so the conformal mapping methods used in the standard Brown–Michael approach cannot be used and the problem must be solved numerically. A numerical scheme is developed based on a Chebyshev spectral method for the streamfunction partial differential equation and a second order implicit timestepping scheme for the vortex position ordinary differntial equations. This method is used to compute shed vortex trajectories for three background flows: (A) a steady flow around a semi-infinite plate, (B) a free vortex moving around a semi-infinite plate, and (C) a free vortex moving around a right-angled wedge. In (A), the inclusion of surface deformation dramatically slows the vortex and changes its trajectory from a straight path to a curved one. In (B) and (C), without the inclusion of flow separation, free vortices traverse fully around the tip along symmetrical trajectories. With the effects of flow separation included, very different trajectories are found: for all values of the model parameter—the Rossby radius—the free and shed vortices pair up and move off to infinity without passing around the tip. Their final propagation angle depends strongly and monotonically on the Rossby radius.
| Type: | Article |
|---|---|
| Title: | A point vortex model for the formation of ocean eddies by flow separation |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1063/1.4906112 |
| Publisher version: | http://dx.doi.org/10.1063/1.4906112 |
| Language: | English |
| Additional information: | Copyright 2015 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in Southwick, OR; Johnson, ER; McDonald, NR; (2015) A point vortex model for the formation of ocean eddies by flow separation. Physics of Fluids , 27 (1) , Article 016604 and may be found at http://dx.doi.org/10.1063/1.4906112. |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery.ucl.ac.uk/id/eprint/1461045 |
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