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Parallel Implementation Of3 + 1-Dimensional Relativistic Hydrodynamics

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  • D. J. DEAN

    (W. K. Kellogg Radiation Laboratory, California Institute of Technology, Pasadena, California 91125, USA;
    Center for Computationally Intensive Physics, Physics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA)

  • C. BOTTCHER

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

  • M. R. STRAYER

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

  • J. C. WELLS

    (Center for Computationally Intensive Physics, Physics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA;
    Vanderbilt University, Department of Physics and Astronomy, Nashville, Tennessee 37235, USA)

Abstract

We discuss the parallel implementation of3 + 1-dimensional relativistic hydrodynamics. The discretization of these equations is performed with a basis-spline collocation method. An iterative procedure for the time evolution will also be discussed. Approximately 60% of the computational effort is spent in performing vector-matrix multiplications that may easily be vectorized. Furthermore, for large lattices, these operations may be spread across the nodes of a parallel machine. We show how to accomplish this partitioning for the hydrodynamic evolution equations. A double-ring, message-passing algorithm is shown to enhance overall code performance when compared to a single ring on iPSC/i860 architectures. Overall code performance is discussed, and an application to relativistic nuclear collision physics is presented.

Suggested Citation

  • D. J. Dean & C. Bottcher & M. R. Strayer & J. C. Wells, 1993. "Parallel Implementation Of3 + 1-Dimensional Relativistic Hydrodynamics," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 4(05), pages 1023-1040.
    • Handle: RePEc:wsi:ijmpcx:v:04:y:1993:i:05:n:s0129183193000793
    DOI: 10.1142/S0129183193000793
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