NavierStokes calculations for unsteady threedimensional vortical flows in unbounded domains
Abstract
Finitedifference NavierStokes calculations for unsteady, threedimensional, incompressible, viscous flows induced by initial vorticity distributions are presented and discussed in this paper. The initial vorticity distributions are assumed to be embedded in a flow field of infinite extent that is quiescent at infinity. These vorticity distributions are typical of vortex rings and other closed vortical tubes or structures. Such structures are important elements in fluid flows such as jets, atmospheric convection and the farfield wakes of aircraft; studies of their interaction may aid in an understanding of complex fluid flows. The calculations employ a method recently proposed by Ting to approximate the infinitedomain boundary value problem with a finite boundary computational domain, and this method is shown to yield accurate threedimensional results for reasonable expenditures of computer time. Because of the efficiency of the boundary condition technique and the resulting NavierStokes code, a 16bit minicomputer with virtual memory was capable of performing the calculations for the unsteady motion of two obliquely colliding vortex rings. The results of these calculations are presented in the paper.
 Publication:

AIAA, Aerospace Sciences Meeting
 Pub Date:
 January 1984
 Bibcode:
 1984aiaa.meetU....C
 Keywords:

 Computational Fluid Dynamics;
 NavierStokes Equation;
 Three Dimensional Flow;
 Unsteady Flow;
 Vortices;
 Boundary Conditions;
 Boundary Value Problems;
 Computer Programs;
 Finite Difference Theory;
 Incompressible Flow;
 Vorticity Equations;
 Fluid Mechanics and Heat Transfer