Stationary drift-Rossby vortices in shear flows

Details Stationary drift-Rossby vortices in shear flows Stationary drift-Rossby vortices in shear flows

Apr 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990jpsj...59.1242h&link_type=abstract

Physical Society of Japan, Journal (ISSN 0031-9015), vol. 59, April 1990, p. 1242-1251.

Statistics

Computation

10

Computational Fluid Dynamics, Planetary Waves, Plasma Drift, Shear Flow, Vorticity Equations, Boundary Value Problems, Flow Distribution, Free Flow, Jupiter Red Spot, Planetary Rotation

Scientific paper

Stationary vortex solutions of the Charney-Hasegawa-Mima equation describing planetary Rossby waves and plasma drift waves are analyzed for background flow with velocity shear. The solutions are obtained by Larichev-Reznik's method that divides the entire plane into two regions by a circle on which the internal and external solutions of linear equations are connected. The boundary conditions on the circle are satisfied correctly by adding a vorticity-free flow to the external background shear flow. Explicit flow patterns, dipolar, tripolar and quadrupolar, are given for several kinds of the background shear flows; the monopolar vortex like the Jovian Red Spot could not be obtained by this method. Another method is given, to derive a nonlinear equation for the stream function when the equilibrium density profile and shear flow in a plasma are prescribed.

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