Application of contour dynamics to systems with cylindrical boundaries
type: Item
instance of: scholarly article
title: Application of contour dynamics to systems with cylindrical boundaries
zbMATH Open document ID: 0927.76082
author: E. Yu. Backhaus
author: J. Fajans
author: Jonathan S. Wurtele
published in: Journal of Computational Physics
publication date: 1999-12-19T00:00:00Z
review text: We present a straightforward contour dynamics (CD) method that can be used for system with cylindrical boundaries and can be generalized to other geometries. The free-space part of the stream function \((\psi_f)\) is calculated using standard CD, while the boundary-induced image contribution \((\psi_i)\) is computed as a solution of the Laplace's equation which satisfies the condition \(\psi_i|_{C_b}= -\psi_f |_{C_b}\), where \(C_b\) is the system boundary. As an illustration, the method is applied to the problem of finding the static equilibria of a nonneutral plasma column subjected to an externally applied boundary potential. \(\copyright\) Academic Press.
Mathematics Subject Classification ID: 76M25
Mathematics Subject Classification ID: 76X05
zbMATH DE Number: 1212286
zbMATH Keywords: static equilibria of nonneutral plasma column
zbMATH Keywords: stream function
zbMATH Keywords: Laplace's equation
zbMATH Keywords: boundary potential
MaRDI profile type: Publication
OpenAlex ID: W2158189184
cites work: Contour dynamics for the Euler equations in two dimensions
cites work: Q4012057
cites work: The nonlinear behaviour of a constant vorticity layer at a wall
cites work: Q3702408
DOI: 10.1006/JCPH.1998.6024
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description: scientific article; zbMATH DE number 1212286