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Rotating nonlinear vortical patterns on a gamma plane. (English) Zbl 1210.35188

Summary: Nonlinear barotropic vortical patterns on a \(\gamma\)-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.

MSC:

35Q35 PDEs in connection with fluid mechanics
76B65 Rossby waves (MSC2010)
76E07 Rotation in hydrodynamic stability
86A05 Hydrology, hydrography, oceanography
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