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Applied Mathematics Seminar
    
  
 
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Charlie Macaskill
School of Mathematics & Statistics, University of Sydney

Lagrangian techniques for modelling large scale oceanic vortex motions
Wednesday 5th October 14:05-14:55pm, Carslaw Building Room 373.

Oceanic vortices, typically ranging between 5km and 50km radius, and of depth of say 1000m, are strongly influenced by the earth's rotation and the oceanic density stratification. This leads to strongly nonlinear interactions, giving rise to both merger and distortion and in some cases the destruction of vortices, so that both larger and smaller scale features are generated. Previous work has studied these interactions using a contour following method called CASL (Contour Advective Semi-Lagrangian), introduced by Dritschel and Ambaum in a horizontally doubly-periodic geometry.  However, vortices are often initially generated by interactions of currents with coastlines and topography, and once formed they also interact strongly with these features. Accordingly, this talk will discuss the generalisation of the CASL method to irregular domains, modelling such environments.