Modons in shear flow on a sphere

Details Modons in shear flow on a sphere Modons in shear flow on a sphere

Mar 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994gapfd..74...51n&link_type=abstract

Geophysical and Astrophysical Fluid Dynamics (ISSN 0309-1929), vol. 74, no. 1-4, p. 51-71

Statistics

Computation

2

Boundary Layer Flow, Shear Flow, Solitary Waves, Spheres, Vortices, Vorticity, Vorticity Equations, Water Waves, Barotropic Flow, Barotropism, Computational Fluid Dynamics

Scientific paper

Modon solutions of the equivalent barotropic vorticity equation on a sphere with a horizontal shear in the zonal background flow are presented. These solutions are wavelike tripoles that exist in the presence of a prescribed shear term quadratic in the sine of the latitude. The sphere is divided into an inner and outer region separated by a boundary circle, and different linear relationships between potential vorticity and stream function in a comoving frame are assumed for the two regions. There are two constraints on the wavenumbers of the solutions in the inner and the outer region, the radius of the circle, and the strength of the prescribed shear. The strength of the prescribed shear determines the latitude of the jet and the strength of the tripole. These solutions are compared with earlier results for equivalent barotropic modons on the beta plane.

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