SPLINE TECHNIQUES FOR SOLVING RELATIVISTIC CONSERVATION EQUATIONS

D. J. Dean, C. Bottcher and M. R. Strayer
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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

International Journal of Modern Physics C (IJMPC), 1993, vol. 04, issue 04, 723-747

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.

Keywords: Relativistic Hydrodynamics; Basis-spline Collocation Method (search for similar items in EconPapers)
Date: 1993
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DOI: 10.1142/S0129183193000616

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