Scale-invariant singularity of the surface quasigeostrophic patch
Abstract
Numerical simulations of the surface quasigeostrophic patch indicate the development of a scale-invariant singularity of the boundary curvature in finite time, with some evidence of universality across a variety of initial conditions. At the time of singularity, boundary segments are shown to possess an exact and simple analytic form, described by branches of a logarithmic spiral centred on the point of singularity. The angles between the branches depend non-trivially on the shape of the smooth connecting boundary as the singularity is approached, but are independent of the global boundary.
Citation
Scott , R K & Dritschel , D G 2019 , ' Scale-invariant singularity of the surface quasigeostrophic patch ' , Journal of Fluid Mechanics , vol. 863 , R2 . https://doi.org/10.1017/jfm.2019.7
Publication
Journal of Fluid Mechanics
Status
Peer reviewed
ISSN
0022-1120Type
Journal article
Collections
Items in the St Andrews Research Repository are protected by copyright, with all rights reserved, unless otherwise indicated.