Design considerations for numerical filters used in Vortex-in-cell algorithms

Christiansen, 1973, Numerical simulation of hydrodynamics by the method of point vortices, J. Comput. Phys., 13, 363, 10.1016/0021-9991(73)90042-9 Baker, 1979, The cloud-in-cell technique applied to the roll-up of vortex sheet, J. Comput. Phys., 31, 76, 10.1016/0021-9991(79)90063-9 Meng, 1978, Numerical studies of some non-linear hydrodynamic problems by discrete vortex element methods, J. Fluid Mech., 84, 433, 10.1017/S0022112078000269 Hockney, 1974, Quiet high-resolution computer models of a plasma, J. Comput. Phys., 14, 148, 10.1016/0021-9991(74)90010-2 Couet, 1981, Simulation of three-dimensional incompressible flows with vortex-in-cell methods, J. Comput. Phys., 39, 305, 10.1016/0021-9991(81)90154-6 Couet, 1981, Exact extension to the three-dimensional incompressible flows with vortex elements, Ann. Rev. Fluid Mech., 17, 523 Wang, 1977, Grid-insensitive computer simulation of the Kelvin-Helmholtz instability and shear flow turbulence, Ph.D. Thesis, Standford University Institute for Plasma Research Report No. 710 R. W. Bartholomew, Private communication (1985). Swartztrauber, 1986 Buneman, 1973, Subgrid resolution of flow and force field, J. Comput. Phys., 11, 250, 10.1016/0021-9991(73)90006-5 Buneman, 1974, Variationally optimized grid-insensitive vortex tracing, 35, 111 Buneman, 1976, The advance from 2D electrostatic to 3D electromagnetic particle simulation, Comput. Phys. Comm., 12, 21, 10.1016/0010-4655(76)90007-2 Ebiana, 1990, Numerical simulation of the air and fuel mixing process in fuel-injected engines using discrete vortex dynamics Anderson, 1986, A method of local corrections for computing the velocity field due to a distribution of vortex blobs, J. Comput. Phys., 62, 111, 10.1016/0021-9991(86)90102-6 Greengard, 1987, A fast algorithm for particle simulations, J. Comput. Phys., 73, 325, 10.1016/0021-9991(87)90140-9