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.
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.
Mots-clés : Méthodes lagrangiennes, Méthodes de particules tourbillon, Méthodes particules-grille, Écoulements instationnaires, Écoulements turbulents, Simulation numérique directe, Simulation des grandes échelles
Grégoire Winckelmans 1; Roger Cocle 1; Louis Dufresne 1; Raphaël Capart 1
@article{CRPHYS_2005__6_4-5_467_0, author = {Gr\'egoire Winckelmans and Roger Cocle and Louis Dufresne and Rapha\"el Capart}, title = {Vortex methods and their application to trailing wake vortex simulations}, journal = {Comptes Rendus. Physique}, pages = {467--486}, publisher = {Elsevier}, volume = {6}, number = {4-5}, year = {2005}, doi = {10.1016/j.crhy.2005.05.001}, language = {en}, }
TY - JOUR AU - Grégoire Winckelmans AU - Roger Cocle AU - Louis Dufresne AU - Raphaël Capart TI - Vortex methods and their application to trailing wake vortex simulations JO - Comptes Rendus. Physique PY - 2005 SP - 467 EP - 486 VL - 6 IS - 4-5 PB - Elsevier DO - 10.1016/j.crhy.2005.05.001 LA - en ID - CRPHYS_2005__6_4-5_467_0 ER -
%0 Journal Article %A Grégoire Winckelmans %A Roger Cocle %A Louis Dufresne %A Raphaël Capart %T Vortex methods and their application to trailing wake vortex simulations %J Comptes Rendus. Physique %D 2005 %P 467-486 %V 6 %N 4-5 %I Elsevier %R 10.1016/j.crhy.2005.05.001 %G en %F CRPHYS_2005__6_4-5_467_0
Grégoire Winckelmans; Roger Cocle; Louis Dufresne; Raphaël Capart. Vortex methods and their application to trailing wake vortex simulations. Comptes Rendus. Physique, Aircraft trailing vortices, Volume 6 (2005) no. 4-5, pp. 467-486. doi : 10.1016/j.crhy.2005.05.001. https://comptes-rendus.academie-sciences.fr/physique/articles/10.1016/j.crhy.2005.05.001/
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