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Numerical simulation of a self-similar cascade of filament instabilities in the surface quasigeostrophic system

Research output: Contribution to journalArticle

Abstract

We provide numerical evidence for the existence of a cascade of filament instabilities in the surface quasigeostrophic system for rotating, stratified flow near a horizontal boundary. The cascade involves geometrically shrinking spatial and temporal scales and implies the singular collapse of the filament width to zero in a finite time. The numerical method is both spatially and temporally adaptive, permitting the accurate simulation of the evolution over an unprecedented range of spatial scales spanning over ten orders of magnitude. It provides the first convincing demonstration of the cascade, in which the large separation of scales between subsequent instabilities has made previous numerical simulation difficult.

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Original languageEnglish
Article number144505
Number of pages5
JournalPhysical Review Letters
Volume112
Issue number14
DOIs
Publication statusPublished - 11 Apr 2014

    Research areas

  • 2-dimensional turbulence, Dynamics, Flow

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