Mathematics (May 2022)

A New Parallel Code Based on a Simple Piecewise Parabolic Method for Numerical Modeling of Colliding Flows in Relativistic Hydrodynamics

  • Igor Kulikov,
  • Igor Chernykh,
  • Dmitry Karavaev,
  • Vladimir Prigarin,
  • Anna Sapetina,
  • Ivan Ulyanichev,
  • Oleg Zavyalov

DOI
https://doi.org/10.3390/math10111865
Journal volume & issue
Vol. 10, no. 11
p. 1865

Abstract

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A new parallel code based on models of special relativistic hydrodynamics is presented for describing interacting flows. A new highly accurate numerical method is considered and verified. A parallel implementation of the method by means of Coarray Fortran technology and its efficiency are described in detail. The code scalability is 92% on a cluster with Intel Xeon 6248R NKS-1P with 192 Coarray Fortran images. Different interacting relativistic flows are considered as astrophysical applications.

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