Vortex methods and their application to trailing wake vortex simulations

Comptes Rendus Physique

Volumn 6, Issue 4-5 SPEC. ISS., 2005, Pages 467-486

  Winckelmans, Grégoire ^a   Cocle, Roger ^a   Dufresne, Louis ^a   Capart, Raphaël ^a  

^a UNIVERSITÉ CATHOLIQUE DE LOUVAIN   (Belgium)

Author keywords

Direct numerical simulation; Lagrangian methods; Large eddy simulation; Turbulent flows; Unsteady flows; Vortex particle methods; Vortex in cell methods

Indexed keywords

EID: 24144462200     PISSN: 16310705     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.crhy.2005.05.001     Document Type: Short Survey

References (35)

1. G.-H. Cottet P.D. Koumoutsakos Vortex Methods, Theory and Practice 2000 Cambridge Univ. Press Cambridge, UK
2. G.S. Winckelmans Vortex methods, in: E. Stein, R. de Borst, Th.J.R. Hughes (Eds.), The Encyclopedia of Computational Mechanics vol. 3 October 2004 John Wiley & Sons
3. P.G. Saffman Vortex Dynamics 1992 Cambridge Univ. Press Cambridge, UK
4. G.S. Winckelmans A. Leonard Contributions to vortex particle methods for the computation of three-dimensional incompressible unsteady flows J. Comput. Phys. 109 2 1993 247-273
5. A. Leonard Vortex methods for flow simulation J. Comput. Phys. 37 1980 289-335
6. A. Leonard Computing three-dimensional incompressible flows with vortex elements Annu. Rev. Fluid Mech. 17 1985 523-559
7. G.S. Winckelmans, Topics in vortex methods for the computation of three- and two-dimensional incompressible unsteady flows, PhD thesis, Graduate Aeronautical Laboratories, California Institute of Technology (Advisor A. Leonard), 1989 (http://etd.caltech.edu)
8. D. Fabre L. Jacquin A. Loof Optimal perturbations in a four-vortex aircraft wake in counter-rotating configuration J. Fluid Mech. 451 2002 319-328
9. L. Jacquin D. Fabre D. Sipp V. Theofilis H. Vollmers Instability and unsteadiness of aircraft wake vortices Aerosp. Sci. Tech. 7 2003 577-593
10. J.M. Ortega R.L. Bristol Ó. Savas Experimental study of the instability of unequal-strength counter-rotating vortex pairs J. Fluid Mech. 474 2003 35-84
11. P. Degond S. Mas-Gallic The weighted particle method for convection-diffusion equations Math. Comput. 53 1989 485-526
12. J.-P. Choquin S. Huberson Particle simulation of viscous flow Comput. Fluids 17 2 1989 397-410
13. G.-H. Cottet S. Mas-Gallic A particle method to solve the Navier-Stokes system Numer. Math. 57 1990 805-827
14. G.-H. Cottet Artificial viscosity models for vortex and particle methods J. Comput. Phys. 127 1996 299-308
15. A.C. de Bruin, F.L.A. Ganzevles, Data analysis of wake survey tests behind SWIM model in DNW-LST and DNW-LLF windtunnels, C-Wake project, NLR-TR-2001-201, 2001
16. P.R. Owen The decay of a turbulent trailing vortex Aeronaut. Q. 21 1970 69-78
17. M.I. Yaras, Numerical simulations of aircraft wake-vortex dynamics in non-uniform windshear and ground proximity, AIAA paper 2002-0940, 2002
18. P. Ploumhans G.S. Winckelmans Vortex methods for high-resolution simulations of viscous flow past bluff bodies of general geometry J. Comput. Phys. 165 2000 354-406
19. J.E. Barnes P. Hut A hierarchical O(N log N) force-calculation algorithm Nature 324 1986 446-449
20. L. Greengard V. Rohklin A fast algorithm for particle simulations J. Comput. Phys. 73 1987 325-348
21. J.K. Salmon M. Warren Skeletons from the treecode closet J. Comput. Phys. 111 1994 136-155
22. J.K. Salmon M. Warren G. Winckelmans Fast parallel tree codes for gravitational and fluid dynamical N-body problems Internat. J. Supercomput. Appl. High Performance Comput. 8 2 1994 129-142
23. J.P. Christiansen Numerical solution of hydrodynamics by the method of point vortices J. Comput. Phys. 13 1973 363-379
24. G.-H. Cottet B. Michaux S. Ossia G. Vanderlinden A comparison of spectral and vortex methods in three-dimensional incompressible flows J. Comput. Phys. 175 2002 702-712
25. G.-H. Cottet P. Poncet Particle methods for Direct Numerical Simulations of three-dimensional wakes J. Turbulence 3 028 2003 1-9 (http://jot.iop.org/).
26. P. Koumoutsakos A. Leonard F. Pépin Boundary conditions for viscous vortex methods J. Comput. Phys. 113 1994 52-56
27. P. Koumoutsakos A. Leonard High resolution simulations of the flow around an impulsively started cylinder using vortex methods J. Fluid Mech. 296 1995 1-38
28. P. Koumoutsakos D. Shiels Simulations of the viscous flow normal to an impulsively started and uniformly accelerated flat plate J. Fluid Mech. 328 1996 177-226
29. P. Ploumhans G.S. Winckelmans J.K. Salmon A. Leonard M.S. Warren Vortex methods for direct numerical simulation of three-dimensional bluff body flows: Application to the sphere at Re = 300, 500 and 1000 J. Comput. Phys. 178 2002 427-463
30. G.-H. Cottet P. Poncet Advances in direct numerical simulations of 3D wall-bounded flows by Vortex-in-Cell methods J. Comput. Phys. 193 2004 136-158
31. P. Poncet Vanishing of mode B in the wake behind a rotating circular cylinder Phys. Fluids 14 6 2002 2021
32. G.-H. Cottet P.D. Koumoutsakos M.L. Ould-Sahili Vortex methods with spatially varying cores J. Comput. Phys. 162 2000 164-185
33. G. Daeninck P. Ploumhans G.S. Winckelmans Simulation of three-dimensional bluff-body flows using vortex methods: From direct numerical simulation towards large-eddy simulation modelling J. Turbulence 3 043 2003 http://jot.iop.org/
34. M.L. Ould-Salihi G.-H. Cottet M. El Hamraoui Blending finite-difference and vortex methods for incompressible flow computations SIAM J. Sci. Comput. 22 5 2000 1655-1674
35. P.A. Raviart An analysis of particle methods, in: Numerical Methods in Fluid Dynamics, in: Lecture Notes in Math. Ser. vol. 1127 1983 Springer-Verlag Berlin/New York pp. 243-324