Vortex methods and their application to trailing wake vortex simulations

Winckelmans, Grégoire;Cocle, Roger;Dufresne, Louis;Capart, R
(2005) Comptes rendus. Physique — Vol. 6, n° 4-5, p. 467-486 (2005)

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Abstract
Vortex methods are competitive for simulating incompressible unsteady flows, because they have negligible dispersion error and good energy conservation. The various methods are presented, including the recent developments: particle redistribution, diffusion, relaxation (by projection), efficient solvers (fast multipole method, vortex-in-cell method, hybrid method) and parallel computer implementations. Examples relating to wing/aircraft trailing wake vortices are presented: 2-D and 3-D, inviscid and viscous, direct numerical simulation and large eddy simulation. We consider wake roll-ups, vortex tube dynamics, 3-D instabilities and the complexity/turbulence they produce. A vortex system in ground effects is also presented.
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Winckelmans, G., Cocle, R., Dufresne, L., & Capart, R. (2005). Vortex methods and their application to trailing wake vortex simulations. Comptes rendus. Physique, 6(4-5), 467-486. https://doi.org/10.1016/j.crhy.2005.05.001 (Original work published 2005)