This article is cited in 32 papers

Effective computations in modern dynamics

Two variations on the theme of Lamb–Chaplygin: supersmooth dipole and rotating multipoles

Z. Kizner^a, R. Khvoles<sup>b

a</sup> Department of Physics, Bar-Ilan University, 52900 Ramat-Gan. Israel
^b Department of Mathematics and Statistics, Bar-Ilan University, 52900 Ramat-Gan. Israel

Abstract: Departing from the classical circular dipole and combining analytical and numerical methods, two kinds of distributed vortical solutions with noncircular boundaries are constructed. These are the translating elliptical dipole with a continuously differentiable vorticity field, and the rotating multipoles (tripole, quadrupole, pentapole etc) with one azimuthal mode in the far field. The features of the new solutions and their correspondence to observations are discussed.

MSC: 76B47

Received: 24.08.2004

Language: English

DOI: 10.1070/RD2004v009n04ABEH000293

Bibliographic databases:

• 
• 
•