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Performance Evaluation of Explicit Shallow-Water Equations Solvers on the CYBER 205

  • F. W. Wubs
Part of the Notes on Numerical Fluid Mechanics book series (NNFM, volume 12)

Summary

The performance of an explicit method and an ADI method for the shallow-water equations is compared on a CYBER 205. Furthermore, a stabilization technique is discussed, which stabilizes the explicit method in such a way that any desired time step is possible without the development of instabilities.

Comparing the codes for two test models, we found that the explicit methods are attractive on the CYBER 205. Finally, some proposals are made for the handling of irregular geometries.

Keywords

Advection Term Implicit Method Explicit Method Stabilization Technique Vector Computer 
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

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    Houwen, P.J, van der, and J.G. Verwer, One-Step Splitting Methods for Semi-Discrete Parabolic Equations, Computing 22, pp 291–309, 1979.MathSciNetzbMATHCrossRefGoogle Scholar
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    Jameson, A., and D. Mavriplis, Finite Volume Solution of the Two-Dimensional Euler Equations on a Regular Triangular Mesh, AIAA 23rd Aerospace Sciences Meeting, AIAA-85–0435, Nevada, 1985.Google Scholar
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    Lambert, J.D., Computational Methods in Ordinary Differential Equations, Wiley, London-New York, 1973.zbMATHGoogle Scholar
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    Stelling, G.S., On the Construction of Computational Methods for Shallow-Water Flow Problems, Thesis, TH Delft, 1983.Google Scholar
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    Wubs, F.W., Stabilization of Explicit Methods for Hyperbolic Initial-Value Problems, in preparation, C.W.I., Amsterdam 1985.Google Scholar
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    Wubs, F.W., Smoothing Techniques for Initial-Boundary-Value Problems, in preparation.Google Scholar

Copyright information

© Springer Fachmedien Wiesbaden 1986

Authors and Affiliations

  • F. W. Wubs
    • 1
  1. 1.Centre for Mathematics and Computer Science (CWI)AmsterdamThe Netherlands

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