RUS  ENG
Full version
JOURNALS // Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki // Archive

Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2008 Issue 1, Pages 127–132 (Mi vuu180)

COMPUTER SCIENCE

Numerical integration of differential dynamical equations. Vortex dynamics applications

A. V. Borisov

Institute of Computer Science

Abstract: We offer a new method of reduction for a system of point vortices on a plane and a sphere. This method is similar to the classical node elimination procedure. However, as applied to the vortex dynamics, it requires substantial modification. Reduction of four vortices on a sphere is given in more detail.

Keywords: reduction, point vortex, equations of motion, Poincaré map.

UDC: 532.5.013

MSC: 76M23, 34A05

Received: 01.10.2007

DOI: 10.20537/vm080108



© Steklov Math. Inst. of RAS, 2025