A numerical study of TaylorVortex flow
Abstract
Results are presented of a numerical study of Taylor vortex flows. The computations were done with values of the Reynolds number and aspect ratio as used by T. B. Benjamin in his experiments. An extensive study was made of the twocell and fourcell transitions and bifurcations. Good agreement was obtained with the experimental results. The flows were assumed to be axisymmetric so that the computation required only two spatial dimensions, although it required that all velocity components and the pressure be computed. A regularized central finite difference scheme was used to discretize the NavierStokes equations. The system of equations was solved by an iterative method similar to successiveoverrelaxation.
 Publication:

Technical Summary Report Wisconsin Univ
 Pub Date:
 April 1985
 Bibcode:
 1985wisc.reptQ....S
 Keywords:

 Aspect Ratio;
 Axisymmetric Flow;
 Finite Difference Theory;
 Reynolds Number;
 Systems Analysis;
 Vorticity Equations;
 Branching (Mathematics);
 Computation;
 Iteration;
 NavierStokes Equation;
 Value;
 Width;
 Fluid Mechanics and Heat Transfer