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Published 1989 | public
Book Section - Chapter

Computations of Taylor Vortex Flows using multigrid continuation methods


Numerical solutions of axisymmetric Taylor vortex flows have been calculated using Multigrid Continuation Techniques. Both infinite and finite cylinders are considered, and the results agree well with experiments. New solutions are found in the infinite cylinder case and these, surprisingly, may help in understanding some experimental results obtained in relatively short cylinders. The numerical method proved to be efficient and reliable so that computations with fine grids and long cylinders are easily performed.

Additional Information

© Springer-Verlag Berlin, Heidelberg 1989. We would like to thank the following: Mr. P. Beran, who programmed the Newton code used for the coarse grid solutions; Dr. E. Doedel for supplying his code AUTO, and for his patience in explaining the correct use of the Code; Dr. M. Henderson for his technical help; Dr. J. Bolstad for useful discussions in the preliminary part of this research; Ms. L. Soha for her careful typing; Ms. B. Wood for the graphic work. We also thank the I.B.M. Corporation for supporting the Caltech Applied Math 4341. This research was supported by the Department of Energy under Contract No. DEAM-3.76SR 00767, and by the Army Research Office under Contract No. DAAG-29-81K-0107.

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August 19, 2023
January 15, 2024