NDLI: Three vortex motion in the slightly viscous flow

Content Provider	Springer Nature Link
Author	Zhu, Hao Cheng, KeMing
Copyright Year	2010
Abstract	The dynamics of three vortices moving in an ideal fluid in a plane can be expressed in Hamiltonian form. However, when viscosity can not be ignored, the system of point vortices has not this delicious structure. This investigation focuses on the viscosity effect on the motion of three vortices. Since the viscous diffusion of vortices is simulated by Brownian motion, the equations of intervortical distances are obtained by Itǒo formula. These equations show that there exist two viscosity effects on intervortical distances: stable expansion and random impulse. Furthermore, via employing the asymptotic solution to these equations, these two viscous effects have been shown to destroy the self-similar process of collapse and make it into a new configuration, which is similar to the near collapse in the ideal case.
Starting Page	735
Ending Page	744
Page Count	10
File Format	PDF
ISSN	16747348
Journal	Science in China Series G
Volume Number	53
Issue Number	4
e-ISSN	18622844
Language	English
Publisher	SP Science China Press
Publisher Date	2010-04-18
Publisher Place	Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	point vortex slightly viscous flow Fokker-Planck equation collapse Itǒ formula Astronomy, Observations and Techniques Classical Continuum Physics Physics
Content Type	Text
Resource Type	Article
Subject	Physics and Astronomy

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Three vortex motion in the slightly viscous flow