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Spline Techniques For Solving Relativistic Conservation Equations

Author

Listed:
  • D. J. DEAN

    (Center for Computationally Intensive Physics, Physics Division, Oak Ridge National Laboratory, Oak Ridge, TN 37831, USA)

  • C. BOTTCHER

    (Center for Computationally Intensive Physics, Physics Division, Oak Ridge National Laboratory, Oak Ridge, TN 37831, USA)

  • M. R. STRAYER

    (Center for Computationally Intensive Physics, Physics Division, Oak Ridge National Laboratory, Oak Ridge, TN 37831, USA)

Abstract

We discuss a new numerical method for solving the relativistic hydrodynamic equations based upon the basis-spline collocation approach. Analytical and numerical results are compared for several problems, including one-dimensional expansions and collisions for which analytical solutions exist. Our methods, which may be easily and massively parallelized, are shown to give numerical results which agree to within a few percent of the analytic solutions. We discuss the relevance of theυ = z/tscaling solutions for the one-dimensional problem when applied to relativistic heavy-ion collisions. Finally, we discuss applications to three-dimensional problems, and present results for a typical three-dimensional expansion.

Suggested Citation

  • D. J. Dean & C. Bottcher & M. R. Strayer, 1993. "Spline Techniques For Solving Relativistic Conservation Equations," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 4(04), pages 723-747.
    • Handle: RePEc:wsi:ijmpcx:v:04:y:1993:i:04:n:s0129183193000616
    DOI: 10.1142/S0129183193000616
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