Propagation of vortices within a rotating, fluid shell

Details Propagation of vortices within a rotating, fluid shell Propagation of vortices within a rotating, fluid shell

Jul 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992em%26p...58...39l&link_type=abstract

Earth, Moon, and Planets (ISSN 0167-9295), vol. 58, no. 1, p. 39-55.

Computer Science

2

Ocean Dynamics, Ocean Models, Planetary Rotation, Rotating Fluids, Solitary Waves, Vortices, Vorticity Equations, Incompressible Fluids, Inviscid Flow, Partial Differential Equations, Stream Functions (Fluids), Traveling Waves

Scientific paper

The motion of vortices within a rotating fluid shell representing the oceans surrounding a solid planet is studied by adopting a linearized version of the Navier-Stokes equation, and it is proven analytically that a certain function of vorticity is an invariant of motion. Using this ocean model and the invariant property of vorticity, a general equation governing the motion of vortices within a rotating fluid shell is developed. The equation is a nonlinear partial differential equation of the third order for the stream function of motion. The particular solutions of this vorticity equation that represent solitary waves of a permanent form and decay within a finite distance are examined.

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