Rotating Nonlinear Vortical Patterns on a Gamma Plane

• 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: Antarctic; The Antarctic; Antarc*
• 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

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.