Finite volume method for the relativistic burgers model on a (1+1)-Dimensional de sitter spacetime

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Ceylan T., Okutmuştur B.

Mathematical and Computational Applications, vol.21, 2016 (ESCI) identifier

  • Publication Type: Article / Article
  • Volume: 21
  • Publication Date: 2016
  • Doi Number: 10.3390/mca21020016
  • Journal Name: Mathematical and Computational Applications
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, INSPEC, zbMATH, Directory of Open Access Journals
  • Middle East Technical University Affiliated: Yes

Abstract

Several generalizations of the relativistic models of Burgers equations have recently been established and developed on different spacetime geometries. In this work, we take into account the de Sitter spacetime geometry, introduce our relativistic model by a technique based on the vanishing pressure Euler equations of relativistic compressible fluids on a (1+1)-dimensional background and construct a second order Godunov type finite volume scheme to examine numerical experiments within an analysis of the cosmological constant. Numerical results demonstrate the efficiency of the method for solutions containing shock and rarefaction waves.