Interacting two-dimensional vortex structures: Point vortices, contour kinematics and stirring properties
type: Item
instance of: scholarly article
title: Interacting two-dimensional vortex structures: Point vortices, contour kinematics and stirring properties
zbMATH Open document ID: 0824.76018
DOI: 10.1016/0960-0779(94)90135-X
published in: Chaos, Solitons and Fractals
publication date: 1995-07-05T00:00:00Z
review text: Two-dimensional inviscid flows governed by a vortex pair in the presence of another point vortex or another vortex pair in an unbounded plane are studied both analytically and numerically. Attention is focussed mainly on the induced advection of passive scalars, and, in particular, on the stirring process for some integrable cases of point-vortex motion. For example, by tracing the deformations of the separatrix enclosing the ``atmosphere'' of a point-vortex dipole during the interaction with another single point vortex or vortex pair, the contour kinematics method provides information about the processes of entrainment and detrainment that take place during the interaction. The results obtained by contour kinematics techniques have been compared for a few cases with both full numerical solutions of the two-dimensional Euler equations and dye- visualised laboratory observations of interacting vortex structures; the contour kinematics calculations show a good qualitative agreement.
Mathematics Subject Classification ID: 76B47
Mathematics Subject Classification ID: 76M20
Mathematics Subject Classification ID: 76M25
zbMATH DE Number: 758057
zbMATH Keywords: vortex pair
zbMATH Keywords: advection of passive scalars
zbMATH Keywords: separatrix
zbMATH Keywords: point-vortex dipole
zbMATH Keywords: contour kinematics method
zbMATH Keywords: Euler equations
zbMATH Keywords: dye-visualised laboratory observations
author: V. V. Meleshko
author: G. J. F. Van Heijst
reviewed by: Felix Kaplanski
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 758057