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

Ploumhans, P.;Winckelmans, Grégoire;Salmon, John
(1998) Third Internalional Workshop on Vortex Flows and Related Numerical Methods (IWVF3) — Location: Toulouse, France (24.August.1998)

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The first part of the paper deals with two-dimensional vortex methods. We briefly review the numerical method and describe two points in more detail: the redistribution around an arbitrary body, and a new scheme to diffuse a vortex sheet into particles in a way that is more accurate. These two improvements allow to perform DNS of two-dimensional flows past bodies of arbitrary shape. We test and validate them on the flow past in impulsively started circular cylinder. The second part of the paper is about three-dimensional 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 scheme close to the solid boundary in order to enhance the accuracy of the method. Fast vortex codes are used for both two- and three-dimensional computations. The three-dimensional code is also parallel.
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Ploumhans, P., Winckelmans, G., & Salmon, J. (1998). 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. In A. Giovannini, G.H. Cottet, Y. Gagnon, A. Ghoniem, E. Meiburg (ed.), European Series in Applied and Industrial Mathematics Proceedings (ESAIM). https://doi.org/10.1051/proc:1999031