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An axisymmetric model of separated flow about a sphere using discrete vortices
Author(s) -
Lee D. K.,
Downie M. J.,
Bettess P.
Publication year - 1991
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/fld.1650120902
Subject(s) - stream function , vortex , vorticity , flow (mathematics) , classical mechanics , mathematics , vector field , burgers vortex , potential flow around a circular cylinder , geometry , vortex ring , physics , rotational symmetry , mechanics , mathematical analysis , open channel flow
A procedure for the calculation of the starting flow around a sphere in a uniform stream is presented. The flow field is simulated by a flow of ideal fluid with embedded vorticity. With the assumption that the flow remains symmetric, the vorticity field is approximated by a number of discrete circular line vortices. The image vortices to satisfy the boundary condition for the normal component of velocity on the surface of the sphere are determined by Butler's sphere theorem. The Stokes streamfunction is used for the field description. The motion of vortices is tracked by the vortex‐in‐cell method, the cells being formed by square grids.