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A Lagrangian vortex method for unbounded flows

✍ Scribed by C. Moussa; M. J. Carley

Publisher
John Wiley and Sons
Year
2008
Tongue
English
Weight
1018 KB
Volume
58
Category
Article
ISSN
0271-2091

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✦ Synopsis

Abstract

A technique is presented for velocity calculations on the highly distorted node distributions typical of those found in Lagrangian vortex methods. The method solves the partial differential equation for streamfunction directly on the nodes, via a sparse, symmetric system of equations that can be solved using standard iterative solvers. When implemented in a triangulated vortex method, the technique gives computation times which scale as N^1.23^, where N is the number of nodes. The computation scheme is derived for two‐dimensional problems and applied to the prediction of the evolution of perturbed multipolar vortices. Due to the numerical performance of the method, it has been possible to examine such evolution at higher and lower Reynolds numbers than have been considered in published numerical studies. Copyright Β© 2008 John Wiley & Sons, Ltd.

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