Vortex methods and their application to trailing wake vortex simulations
- 30 June 2005
- journal article
- review article
- Published by Cellule MathDoc/CEDRAM in Comptes Rendus Physique
- Vol. 6 (4-5), 467-486
- https://doi.org/10.1016/j.crhy.2005.05.001
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. To cite this article: G. Winckelmans et al., C. R. Physique 6 (2005). Les méthodes vortex sont compétitives pour la simulation d'écoulements incompressibles et instationnaires, car elles ont peu de dispersion et de bonnes propriétés de conservation de l'énergie. Les diverses méthodes sont présentées, incluant les développements récents : redistribution des particules, diffusion, relaxation (par projection), solveurs efficaces (méthode multipole rapide, méthode particules-grille, méthode hybride) et implémentation sur ordinateurs parallèles. Des examples sont présentés concernant l'application aux sillages tourbillonnaires d'ailes/avions : 2-D et 3-D, non-visqueux et visqueux, simulation directe et simulation des grandes échelles. On considère des enroulements, de la dynamique de tubes tourbillon, des instabilités 3-D et la complexité/turbulence qu'elles produisent. Un système de tourbillons en effet de sol est aussi présenté. Pour citer cet article : G. Winckelmans et al., C. R. Physique 6 (2005).Keywords
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