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Simulation of cylindrical Couette flow

  • Philip S. Marcus
  • Steven A. Orszag
  • Anthony T. Patera
Contributed Papers
Part of the Lecture Notes in Physics book series (LNP, volume 170)

Abstract

We have developed, tested, and implemented a numerical code for calculating the viscous, three dimensional flow between two differentially rotating cylinders (cylindrical Couette flow). In this paper we describe the methods that we have used to apply efficiently pseudo-spectral techniques to a complicated (i.e. non-Cartesian) geometry with real (i.e. viscous, no-slip) boundaries and the tests that we have used to determine the accuracy of our code.

Keywords

Reynolds Number Wave Speed Couette Flow Collocation Point Radius Ratio 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. Chandrasekhar, S., (1960), Hydrodynamic and Hydromagnetic Stability, Oxford University Press.Google Scholar
  2. Donnelly, R. J., & Simon, N.J., 1960, J.F.M., 7, 401.Google Scholar
  3. King, G., & Swinney, H.L., 1982, private communication.Google Scholar
  4. Kreuger, E. R., Gross, A., & DiPrima, R.C., 1966, J.F.M., 24,521.Google Scholar
  5. Meyer-Spasche, R., & Keller, H. B., 1980 J. Comp. Phys., 35, 100.Google Scholar

Copyright information

© Springer-Verlag 1982

Authors and Affiliations

  • Philip S. Marcus
    • 1
  • Steven A. Orszag
    • 1
  • Anthony T. Patera
    • 1
  1. 1.Department of MathematicsMassachusetts Institute of TechnologyCambridgeUSA

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