Free access article

ESAIM: Proc., 1999, Vol. 7, pp. 335-348
DOI: 10.1051/proc:1999031

Vortex particles and tree codes: I. flows with arbitrary crossing between solid boundaries and particle redistribution lattice; II. vortex ring encountering a plane at an angle.

P. Ploumhans, G. S. Winckelmans and J. K. Salmon

Center for Systems Engineering and Applied Mechanics, Unité TERM, Place du Levant 2, Université catholique de Louvain, Louvain-la-Neuve 1348, Belgium Center for Advanced Computing Research, California Institute of Technology, Pasadena, CA 91125, USA

Abstract
The first part of the paper deals with 2-D vortex methods. We briefly review the numerical method and we extensively describe two points in more details: the redistribution around an arbitrary body and a new scheme to diffuse a vortex sheet onto particles in a way that is most accurate. These two improvements allow to perform DNS of 2-D flows past bodies of arbitrary shape. We test and validate them on the flow past an impulsively started circular cylinder. The second part of the paper is about 3-D flows with solid boundaries. We test the viscous method on the interaction between a vortex ring and a plane. We also detail a modified version of the Particle Strength Exchange (PSE) scheme close to the solid boundary so as to enhance the accuracy of the method. Fast vortex codes are used for both 2-D and 3-D computations. The 3-D code is also parallel.

© EDP Sciences, ESAIM 1999

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