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A NUMERICAL PROCEDURE FOR PREDICTING MULTIPLE SOLUTIONS OF A SPHERICAL TAYLOR–COUETTE FLOW

✍ Scribed by R.-J. Yang

Publisher
John Wiley and Sons
Year
1996
Tongue
English
Weight
647 KB
Volume
22
Category
Article
ISSN
0271-2091

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✦ Synopsis

A new numerical procedure for predicting multiple solutions of Taylor vortices in a spherical gap is presented. The steady incompressible Navier-Stokes equations in primitive variables are solved by a finitedifference method using a matrix preconditioning technique. Routes leading to multiple flow states are designed heuristically by imposing symmetric propemes. Both symmetric and asymmetric solutions can be predicted in a deterministic way.

The current procedure gives very fast convergence rate to the desired flow modes. This procedure provides an alternative way of finding all possible stable steady axisymmetric flow modes.

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