A numerical investigation of the Schaeffer homotopy in the problem of Taylor‒Couette flows

D. K. Anson, K. Cliffe
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引用次数: 6

Abstract

Numerical methods are used to study the 4, 6-cell exchange process in the Taylor vortex problem, with particular reference to the homotopy devised by Schaeffer. The homotopy describes a transformation between two models, one incorporating periodic boundary conditions and so referring to flows in an infinite annulus, the other with realistic boundary conditions. Our calculations indicate that the former model is more complicated than previously suspected and lead to a better understanding of the consequences of Schaeffer’s device.
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Taylor-Couette流问题中Schaeffer同伦的数值研究
采用数值方法研究了Taylor涡旋问题中的4,6胞交换过程,并特别参考了Schaeffer设计的同伦。同伦描述了两个模型之间的转换,一个模型包含周期边界条件,因此涉及无限环空中的流动,另一个模型具有现实边界条件。我们的计算表明,前一种模型比以前怀疑的更复杂,并使我们更好地理解谢弗装置的后果。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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