Model of the Quasi-Point Vortex.

In this paper, we obtain the nonviscous model of compact vortex close to the classical point vortex. The obtained vortex differs from the classical point vortex flow; its azimuthal velocity field is not potential. In addition to the classical flow solution, there is a term that makes the vortex compensated. The overall vorticity in it equals zero. Unlike the classical point vortex, the obtained one is compact and its velocity field meets the non-slip condition at the outer boundary like the (Taylor-Couette) flow between two coaxial cylinders. Furthermore, we introduce the nondimensional parameter, the function of radial coordinate indicating locally how the quasi-point vortex differs from the point vortex. The proposed model is an alternative to the point vortex one. The quasi-point vortex can be used in all relevant problems, where its counterpart (the point vortex) was used before. Crucially, its flow domain will always have finite scales just like it's in the nature. [ABSTRACT FROM AUTHOR]