SciCADE 2013
International Conference on Scientific Computation and Differential Equations
September 16-20, 2013, Valladolid (Spain)

Invited Talk

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Collective integrators for point vortex dynamics on the sphere

K. Modin, R. McLachlan and O. Verdier

Abstract
The dynamics of point vortices have a long history, going back to a seminal 1858 paper by Helmholtz. Point vortices occur as special solutions to 2D incompressible fluid equations. On the sphere, point vortices provide important approximations of certain geophysical flows. In this talk we present efficient Lie-Poisson integrators for point vortices on the sphere. The approach is based on {collective integrators}: a novel technique to construct structure preserving integrators for general Hamiltonian systems on a Lie-Poisson manifold.

Organized by         Universidad de Valladolid     IMUVA