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Issue ESAIM: PROC
Volume 1, 1996
Vortex flows an related numerical methods II
Page(s) 325 - 337
DOI 10.1051/proc:1996008

ESAIM: Proc., 1996, Vol. 1, pp. 325-337
DOI: 10.1051/proc:1996008

Equilibrium configurations of point vortices in doubly connected domains

Alan R. Elcrat, Chenglie Hu and Kenneth G. Miller

Wichita State University Wichita, KS 67260-0033, USA


Abstract
Point vortex flows of a steady, two dimensional, inviscid, and incompressible fluid are studied for doubly connected geometries. The Routh function is explicitly constructed, and equilibrium configurations of vortices are found by determining critical points numerically. The numerical computations make use of an analogue of the Schwarz-Christoffel transformation for doubly connected regions.



© EDP Sciences, ESAIM 1996


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