Modified interpolation kernels for treating diffusion and remeshing in vortex methods
Tài liệu tham khảo
Barba, 2005, Advances in viscous vortex methods—meshless spatial adaption based on radial basis function interpolation, International Journal for Numerical Methods in Fluids, 47, 387, 10.1002/fld.811
Chapra, 1988
Chatelain, 2002, Face-centred cubic lattices and particle redistribution in vortex methods, Journal of Turbulence, 3, 1
Chin, 1978, A dispersive analysis for difference schemes: tables of generalized Airy functions, Mathematics of Computation, 32, 1163, 10.1090/S0025-5718-1978-0494982-6
Chorin, 1973, Numerical study of slightly viscous flow, Journal of Fluid Mechanics, 57, 785, 10.1017/S0022112073002016
Cottet, 2000
Cottet, 2000, Vortex methods with spatially varying cores, Journal of Computational Physics, 162, 164, 10.1006/jcph.2000.6531
Cottet, 1990, A particle method to solve the Navier–Stokes system, Numerische Mathematik, 57, 805, 10.1007/BF01386445
Degond, 1989, The weighted particle method for convection–diffusion equations, Part 1: The case of an isotropic diffusion, Mathematics of Computation, 53, 485
Degond, 1989, The weighted particle method for convection–diffusion equations, Part 2: The anisotropic case, Mathematics of Computation, 53, 509
Degond, 1990, A deterministic approximation of diffusion-equations using particles, SIAM Journal on Scientific and Statistical Computing, 11, 293, 10.1137/0911018
Friedlander, 1998
A. Gharakhani, A higher order vorticity redistribution method for 3-D diffusion in free space, Sandia Report, SAND2000-2505, 2000.
Ghoniem, 1988, Numerical simulation of a thermally stratified shear layer using the vortex element method, Journal of Computational Physics, 79, 135, 10.1016/0021-9991(88)90008-3
Kida, 1991, Collision of two vortex rings, Journal of Fluid Mechanics, 230, 583, 10.1017/S0022112091000903
Knio, 1990, Numerical study of a three-dimensional vortex method, Journal of Computational Physics, 86, 75, 10.1016/0021-9991(90)90092-F
Knio, 1991, Three-dimensional vortex simulation of rollup and entrainment in a shear layer, Journal of Computational Physics, 97, 172, 10.1016/0021-9991(91)90044-L
Koumoutsakos, 1997, Inviscid axisymmetrization of an elliptical vortex, Journal of Computational Physics, 138, 821, 10.1006/jcph.1997.5749
Koumoutsakos, 1994, Boundary conditions for viscous vortex methods, Journal of Computational Physics, 113, 52, 10.1006/jcph.1994.1117
Ladyženskaja, 1968
Lakkis, 2003, Axisymmetric vortex method for low Mach number, diffusion-controlled combustion, Journal of Computational Physics, 184, 435, 10.1016/S0021-9991(02)00030-X
LeVeque, 1992
Lindsay, 2001, A particle method and adaptive treecode for vortex sheet motion in three-dimensional flow, Journal of Computational Physics, 172, 879, 10.1006/jcph.2001.6862
Lu, 1991, Diffusing-vortex numerical scheme for solving incompressible Navier–Stokes equations, Journal of Computational Physics, 95, 400, 10.1016/0021-9991(91)90283-Q
Majda, 2002
Marzouk, 2005, k-means clustering for optimal partitioning and dynamic load balancing of parallel hierarchical N-body simulations, Journal of Computational Physics, 207, 493, 10.1016/j.jcp.2005.01.021
Ploumhans, 2002, Vortex methods for direct numerical simulation of three-dimensional bluff body flows: application to the sphere at Re=300, 500, and 1000, Journal of Computational Physics, 178, 427, 10.1006/jcph.2002.7035
Rosen, 1979, Nonlinear heat conduction in solid H2, Physical Review B, 19, 2398, 10.1103/PhysRevB.19.2398
Rossi, 1996, Resurrecting core spreading vortex methods: a new scheme that is both deterministic and convergent, SIAM Journal of Scientific Computing, 17, 370, 10.1137/S1064827593254397
Rott, 1993, Vortex drift. I: Dynamic interpretation, Physics of Fluids A, 5, 1443, 10.1063/1.858581
Russo, 1992, A deterministic vortex method for the Navier–Stokes equations, Journal of Computational Physics, 108, 84, 10.1006/jcph.1993.1165
S. Shankar, Grid-free redistribution methods for axisymmetric and anisotropic diffusion, Internal Report, Reacting Gas Dynamics Laboratory, Massachusetts Institute of Technology, 1999.
Shankar, 1996, A new diffusion procedure for vortex methods, Journal of Computational Physics, 127, 88, 10.1006/jcph.1996.0160
Shariff, 1992, Vortex rings, Annual Review of Fluid Mechanics, 24, 235, 10.1146/annurev.fl.24.010192.001315
S.K. Stanaway, B.J. Cantwell, P.R. Spalart, Navier–Stokes simulations of axisymmetric vortex rings, AIAA Technical Paper, AIAA-88-0318, 1988.
S.K. Stanaway, B.J. Cantwell, P.R. Spalart, A numerical study of viscous vortex rings using a spectral method, NASA Technical Memorandum, NASA TM 101041, 1988.
Strichartz, 1994
Strikwerda, 1989
Thirifay, 2002, Development of a Lagrangian method for combustion and application to the planar methane air jet diffusion flame, Journal of Turbulence, 3, 1
Trac, 2003, A primer on Eulerian computational fluid dynamics for astrophysics, Publications of the Astronomical Society of the Pacific, 115, 303, 10.1086/367747
Winckelmans, 1993, Contributions to vortex particle methods for the computation of three-dimensional incompressible unsteady flows, Journal of Computational Physics, 109, 247, 10.1006/jcph.1993.1216
Winckelmans, 1996, Application of fast parallel and sequential tree codes to computing three-dimensional flows with the vortex element and boundary element methods, ESAIM Proceedings: Vortex Flows and Related Numerical Methods II, 1, 225, 10.1051/proc:1996039