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Vortex particle‐in‐cell method for three‐dimensional viscous unbounded flow computations
Author(s) -
Liu Chung Ho,
Doorly Denis J.
Publication year - 2000
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/(sici)1097-0363(20000115)32:1<23::aid-fld922>3.0.co;2-o
Subject(s) - vortex , burgers vortex , vorticity , vortex ring , physics , classical mechanics , mechanics , vortex stretching , numerical diffusion , computation , incompressible flow , flow (mathematics) , mathematics , algorithm
A new vortex particle‐in‐cell (PIC) method is developed for the computation of three‐dimensional unsteady, incompressible viscous flow in an unbounded domain. The method combines the advantages of the Lagrangian particle methods for convection and the use of an Eulerian grid to compute the diffusion and vortex stretching. The velocity boundary conditions used in the method are of Dirichlet‐type, and can be calculated using the vorticity field on the grid by the Biot–Savart equation. The present results for the propagation speed of the single vortex ring are in good agreement with the Saffman's model. The applications of the method to the head‐on and head‐off collisions of the two vortex rings show good agreement with the experimental and numerical literature. Copyright © 2000 John Wiley & Sons, Ltd.