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Post Adaptation For A Numerical Solution Of The Spherically-Symmetric Riemann Problem

Author

Listed:
  • B. YUDANIN

    (Dept. of Physics, City College of the City University of New York, New York, NY 10031, USA)

  • M. LAX

    (Dept. of Physics, City College of the City University of New York, New York, NY 10031, USA;
    AT&T Bell Laboratories, Murray Hill, NJ 07974, USA)

Abstract

A"folding" transformation is used to reduce a two point boundary value problem to one point boundary values (with double the number of functions). A transformation to quasi-Lagrangian coordinates is used to transform discontinuities to rest. After these transformations the general purpose numerical package POST (partial and ordinary differential equations solver in time and one space coordinates) can be successfully applied to a system of hydrodynamical equations, whose solution exhibits jumps and cusp-type discontinuities. Numerical results are presented for the spherically-symmetric shock problem.

Suggested Citation

  • B. Yudanin & M. Lax, 1990. "Post Adaptation For A Numerical Solution Of The Spherically-Symmetric Riemann Problem," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 1(04), pages 285-298.
    • Handle: RePEc:wsi:ijmpcx:v:01:y:1990:i:04:n:s0129183190000165
    DOI: 10.1142/S0129183190000165
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