Rotating Nonlinear Vortical Patterns on a Gamma Plane

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 as...

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Bibliographic Details
Published in:Studies in Applied Mathematics
Main Authors: Derzho, Oleg G., de Young, Brad
Format: Article in Journal/Newspaper
Language:English
Published: Wiley 2010
Subjects:
Online Access:http://dx.doi.org/10.1111/j.1467-9590.2010.00502.x
https://api.wiley.com/onlinelibrary/tdm/v1/articles/10.1111%2Fj.1467-9590.2010.00502.x
https://onlinelibrary.wiley.com/doi/pdf/10.1111/j.1467-9590.2010.00502.x
Description
Summary: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.