Finite volume method for the relativistic burgers model on a (1+1)-Dimensional de sitter spacetime
Mathematical and Computational Applications, cilt.21, 2016 (ESCI, Scopus)
- 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
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- 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.