PARALLEL IMPLEMENTATION OF3 + 1-DIMENSIONAL RELATIVISTIC HYDRODYNAMICS

D. J. Dean, C. Bottcher, M. R. Strayer and J. C. Wells
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D. J. Dean: W. K. Kellogg Radiation Laboratory, California Institute of Technology, Pasadena, California 91125, 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;

International Journal of Modern Physics C (IJMPC), 1993, vol. 04, issue 05, 1023-1040

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.

Keywords: Relativistic Hydrodynamics; Basis-spline Collocation Method (search for similar items in EconPapers)
Date: 1993
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DOI: 10.1142/S0129183193000793

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