Abstract

The models to be considered are the simplest imaginable: The flow is assumed two-dimensional and inviscid, and each strong vortex is represented as a δ-function singularity of the vorticity field. This simple Ansatz leads to what is called the point vortex model. It was introduced already by Helmholtz in his seminal 1858 paper on vortex dynamics [9] (English translation by Tait [21]) and has been a mainstay of fluid mechanics modeling ever since. J. G. Charney extolled the virtues of this approximation in the context of numerical simulations of atmospheric flows. He wrote [8]:KeywordsPoint VortexVortex LatticeStrong VortexPeriodic StripVortex ConfigurationThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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