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An Euler solver based on the method of space-time conservation element and solution element

  • Xiao-Yen Wang
  • Chuen-Yen Chow
  • Sin-Chung Chang
Algorithms Euler
Part of the Lecture Notes in Physics book series (LNP, volume 490)

Abstract

A new numerical algorithm for solving Euler equations based on the method of space-time conservation element and solution element (CE/SE) is introduced in this paper. A representative numerical example on an unsteady implosion/explosion process of a polygonal shock wave in a box is presented here to demonstrate the simplicity, generality, and accuracy of the CE/SE method. Numerical solution is compared with that obtained using a traditional TVD scheme.

Keywords

Shock Wave Mach Stem NASA Lewis Research Reflect Boundary Condition Compact Difference Scheme 
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. 1.
    S.C. Chang: Journal of Computational Physics 191, 295–324 (1995).CrossRefGoogle Scholar
  2. 2.
    S.C. Chang, X.Y. Wang and C.Y. Chow: AIAA Paper 95-1754.Google Scholar
  3. 3.
    X.Y. Wang: Ph.D. thesis, University of Colorado at Boulder, December 1995.Google Scholar
  4. 4.
    X.Y. Wang, C.Y. Chow and S.C. Chang: AIAA Paper 96-0764.Google Scholar
  5. 5.
    C.Y. Loh, S.C. Chang, J.R. Scott, and S.T. Yu: AIAA Paper 96-0276.Google Scholar
  6. 6.
    T. Aki and F. Higashino, AIP Conference Proceeding 208, 1989.Google Scholar

Copyright information

© Springer-Verlag 1997

Authors and Affiliations

  • Xiao-Yen Wang
    • 1
  • Chuen-Yen Chow
    • 1
  • Sin-Chung Chang
    • 2
  1. 1.University of ColoradoBoulderUSA
  2. 2.NASA Lewis Research CenterClevelandUSA

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