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A hybrid vortex method for the simulation of three-dimensional flows

✍ Scribed by Wei Li; Marco Vezza

Publisher
John Wiley and Sons
Year
2008
Tongue
English
Weight
401 KB
Volume
57
Category
Article
ISSN
0271-2091

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✦ Synopsis

Abstract

This paper presents an integral vorticity method for solving three‐dimensional Navier–Stokes equations. A finite volume scheme is implemented to solve the vorticity transport equation, which is discretized on a structured hexahedral mesh. A vortex sheet algorithm is used to enforce the no‐slip boundary condition through a vorticity flux at the boundary. The Biot–Savart integral is evaluated to compute the velocity field, in conjunction with a fast algorithm based on multipole expansion. This method is applied to the simulation of uniform flow past a sphere. Copyright © 2007 John Wiley & Sons, Ltd.

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