Welcome to the new version of CaltechAUTHORS. Login is currently restricted to library staff. If you notice any issues, please email coda@library.caltech.edu
Published November 10, 2008 | public
Journal Article

A contour dynamics algorithm for axisymmetric flow


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.

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.

Additional details

August 22, 2023
October 17, 2023