Boundary Conditions for Viscous Vortex Methods

P. Koumoutsakos, F. Pepin and A. Leonard, Journal of Computational Physics, 113, 52-61, 1994


This paper presents a Neumann-type vorticity boundary condition for the vorticity formulation of the Navier-Stokes equations. The vorticity creation process at the boundary, due to the no-slip condition, is expressed in terms of a vorticity flux. The scheme is incorporated then into a Lagrangian vortex blob method that uses a particle strength exchange algorithm for viscous diffusion. The no-slip condition is not enforced by the generation of new vortices at the boundary but instead by modifying the strength of the vortices in the vicinity of the boundary. (C) 1994 Academic Press, Inc.(IDS Number: NR928, ISSN: 0021-9991)