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Rotating Nonlinear Vortical Patterns on a Gamma Plane
Author(s) -
Derzho Oleg G.,
de Young Brad
Publication year - 2011
Publication title -
studies in applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 46
eISSN - 1467-9590
pISSN - 0022-2526
DOI - 10.1111/j.1467-9590.2010.00502.x
Subject(s) - rossby wave , barotropic fluid , nonlinear system , stream function , physics , plane (geometry) , vorticity , vortex , rossby number , asymmetry , classical mechanics , potential vorticity , circulation (fluid dynamics) , mechanics , geometry , mathematics , atmospheric sciences , quantum mechanics , turbulence
Nonlinear barotropic vortical patterns on a γ ‐plane are investigated analytically. The solutions describe large‐scale Rossby waves rotating anticyclonically with zero circulation. The Rossby waves are predicted to rotate with a specific angular velocity. The stream function–vorticity relation is assumed to be nonlinear, which may lead to a pronounced asymmetry within the pattern. The similarity between the simulated patterns and the Antarctic Circumpolar Wave is highlighted.