Vortex Methods for High-Resolution Simulations of Viscous Flow Past Bluff Bodies of General Geometry

Bar-Lev, 1975, Initial flow field over an impulsively started circular cylinder, J. Fluid Mech., 72, 625, 10.1017/S0022112075003199 Barnes, 1986, A hierarchical O(N log N) force calculations algorithm, Nature, 324, 446, 10.1038/324446a0 Benhaddouch, 1999, Treatment of a Neumann boundary condition by a Particle Strength Exchange method, Electronic Proc. Third International Workshop on Vortex Flows and Related Numerical Methods, Toulouse, August 24–27, 1998 Cottet, 1999, Recent developments in vortex methods for the simulation of unsteady incompressible flows, Electronic Proc. Third International Workshop on Vortex Flows and Related Numerical Methods, Toulouse, August 24–27, 1998 Cottet, 2000, Vortex Methods: Theory and Applications, 10.1017/CBO9780511526442 Degond, 1989, The weighted particle method for convection–diffusion equations. I. The case of an isotropic viscosity; II. The anisotropic case, Math. Comput., 53, 485 Greengard, 1987, A fast algorithm for particle simulations, J. Comput. Phys., 73, 325, 10.1016/0021-9991(87)90140-9 Koumoutsakos, 1993, Direct Numerical Simulations of Unsteady Separated Flows Using Vortex Methods Koumoutsakos, 1994, Boundary conditions for viscous vortex methods, J. Comput. Phys., 113, 52, 10.1006/jcph.1994.1117 Koumoutsakos, 1995, High resolution simulation of the flow around an impulsively started cylinder using vortex methods, J. Fluid Mech., 296, 1, 10.1017/S0022112095002059 Koumoutsakos, 1996, Simulations of the viscous flow normal to an impulsively started and uniformly accelerated flat plate, J. Fluid Mech., 328, 177, 10.1017/S0022112096008695 Lemine, 1998, Couplage de Méthodes Numériques en Simulation Directe d'Écoulements Incompressibles A. Leonard, D. Shiels, J. K. Salmon, G. S. Winckelmans, and, P. Ploumhans, Recent advances in high resolution vortex methods for incompressible flows, in, Proc. 13th AIAA Computational Fluid Dynamics Conf, Snowmass Village, CO, June 29–July 2, 1997, AIAA #97-2108. Leonard, 1980, Review: Vortex methods for flow simulation, J. Comput. Phys., 37, 289, 10.1016/0021-9991(80)90040-6 Leonard, 1985, Computing three-dimensional incompressible flows with vortex elements, Annu. Rev. Fluid Mech., 17, 523, 10.1146/annurev.fl.17.010185.002515 Mas-Gallic, 1995, Particle approximation of a linear convection-diffusion problem with Neumann boundary conditions, SIAM J. Numer. Anal., 32, 1098, 10.1137/0732050 Ploumhans, 1999, 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, electronic Proc. Third International Workshop on Vortex Flows and Related Numerical Methods, Toulouse, August 24–27, 1998 Salmon, 1994, Skeletons from the Treecode Closet, J. Comput. Phys., 111, 136, 10.1006/jcph.1994.1050 F. Y. Wang, O. Karatekin, and, J.-M. Charbonnier, An experimental study of the flow-field around an Apollo capsule at low speed, in, Proc. 36th AIAA Aerospace Sciences Meeting and Exhibit, Reno, NV, January 12–15, 1998, AIAA #98-0319. Winckelmans, 1993, Contributions to vortex particle methods for the computation of three-dimensional incompressible unsteady flows, J. Comput. Phys., 109, 247, 10.1006/jcph.1993.1216 G. S. Winckelmans, J. K. Salmon, A. Leonard, and, M. S. Warren, Three-dimensional vortex particle and panels methods: Fast tree-code solvers with active error control for arbitrary distributions/geometries, in, Proc. Forum on Vortex Methods for ngineering Applications, Albuquerque, NM, February 22–24, p, 25. Winckelmans, 1999, Application of fast parallel and sequential tree codes to computing three-dimensional flows with the vortex element and boundary element methods, Applied and Industrial Mathematics), Electronic Proc. Second International Workshop on Vortex Flows and Related Numerical Methods, Montréal, Canada, August 20–24, 1995