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A contour dynamics algorithm for axisymmetric flow

Shariff, Karim and Leonard, Anthony and Ferziger, Joel H. (2008) A contour dynamics algorithm for axisymmetric flow. Journal of Computational Physics, 227 (21). pp. 9044-9062. ISSN 0021-9991.

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The method of contour dynamics, developed for two-dimensional vortex patches by Zabusky et al. [N.J. Zabusky, M.H. Hughes, K.V. Roberts, Contour dynamics for the Euler equations in two-dimensions, J. Comp. Phys. 30 (1979) 96-106] is extended to vortex rings in which the vorticity distribution varies linearly with normal distance from the symmetry axis. The method tracks the motion of the boundaries of the vorticity regions and hence reduces the dimensionality of the problem by one. We discuss the formulation and implementation of the scheme, verify its accuracy and convergence, and present illustrative examples.

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Additional Information:© 2007 Elsevier Inc. Received 19 June 2007; received in revised form 12 September 2007; accepted 4 October 2007. Available online 16 October 2007.
Subject Keywords:contour dynamics; vortex rings; vorticity dynamics
Issue or Number:21
Record Number:CaltechAUTHORS:SHAjcp08
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:13397
Deposited By: Tony Diaz
Deposited On:08 May 2009 17:48
Last Modified:03 Oct 2019 00:37

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