Computation of Taylor vortex flow by a transient implicit method
Abstract
A finite difference method is presented for the computation of steady axisymmetric solutions of NavierStokes equations using the time dependent stream function, vorticity, and tangential velocity formulation. The scheme involves implicit fractional steps and fast Fourier transforms. Upwind differencing for convective terms is used in order to increase the stability for high values of the Reynolds number. The method is applied to the flow in an annulus of rectangular cross section with rotating walls. Attention is focused upon the problem of centrifugal instabilities, nonuniqueness of the steadystate solution, and selection of wavelengths in the supercritical range.
 Publication:

Computers and Fluids
 Pub Date:
 December 1978
 Bibcode:
 1978CF......6..259A
 Keywords:

 Axisymmetric Flow;
 Finite Difference Theory;
 Flow Stability;
 NavierStokes Equation;
 Taylor Instability;
 Vortices;
 Annular Flow;
 Convective Flow;
 Fast Fourier Transformations;
 Flow Equations;
 Reynolds Number;
 Steady State;
 Stream Functions (Fluids);
 Supercritical Flow;
 Time Dependence;
 Vorticity;
 Fluid Mechanics and Heat Transfer