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, cilt.21, 2016 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 21
  • Basım Tarihi: 2016
  • Doi Numarası: 10.3390/mca21020016
  • Dergi Adı: Mathematical and Computational Applications
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, INSPEC, zbMATH, Directory of Open Access Journals
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

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.