Derivation of equations of motion for discrete vortex particles in axisymmetric flows
Abstract
A discrete vortex model is proposed for axisymmetric flows of an incompressible nonviscous fluid. First, a variational principle is formulated for a class of flows, and the vortex field is approximated by a discrete system of annular vortices. Equations of motion for this system are then derived using the variational principle. Under certain assumptions, equations used in some wellknown vortex models are shown to follow from the equations obtained here. It is also shown that the proposed vortex model retains the principal properties of a continuum model, such as momentum and energy conservation.
 Publication:

Akademiia Nauk SSSR Sibirskoe Otdelenie Izvestiia Seriia Tekhnicheskie Nauki
 Pub Date:
 June 1986
 Bibcode:
 1986SiSSR.......45V
 Keywords:

 Axisymmetric Flow;
 Computational Fluid Dynamics;
 Flow Equations;
 Vortex Rings;
 Equations Of Motion;
 Incompressible Flow;
 Inviscid Flow;
 Variational Principles;
 Fluid Mechanics and Heat Transfer