Show/Hide Menu
Hide/Show Apps
Logout
Türkçe
Türkçe
Search
Search
Login
Login
OpenMETU
OpenMETU
About
About
Open Science Policy
Open Science Policy
Open Access Guideline
Open Access Guideline
Postgraduate Thesis Guideline
Postgraduate Thesis Guideline
Communities & Collections
Communities & Collections
Help
Help
Frequently Asked Questions
Frequently Asked Questions
Guides
Guides
Thesis submission
Thesis submission
MS without thesis term project submission
MS without thesis term project submission
Publication submission with DOI
Publication submission with DOI
Publication submission
Publication submission
Supporting Information
Supporting Information
General Information
General Information
Copyright, Embargo and License
Copyright, Embargo and License
Contact us
Contact us
Finite volume method for the relativistic burgers model on a (1+1)-Dimensional de sitter spacetime
Download
index.pdf
Date
2016-05-10
Author
Ceylan, Tuba
Okutmuştur, Baver
Metadata
Show full item record
This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
.
Item Usage Stats
229
views
71
downloads
Cite This
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.
Subject Keywords
Relativistic Burgers equation
,
Euler system
,
de Sitter metric
,
de Sitter backgrounds
,
Finite volume method
,
Godunov scheme
URI
https://hdl.handle.net/11511/46047
Journal
Mathematical and Computational Applications
DOI
https://doi.org/10.3390/mca21020016
Collections
Department of Mathematics, Article
Suggestions
OpenMETU
Core
Finite volume approximation of the relativistic Burgers equation on a Schwarzschild-(anti-)de Sitter spacetime
Ceylan, Tuba; Okutmuştur, Baver (2017-01-01)
The relativistic versions of Burgers equations on the Schwarzschild, FLRW, and de Sitter backgrounds have recently been derived and analyzed numerically via finite volume approximation based on the concerned models. In this work, we derive there lativistic Burgers equation on a Schwarzschild-(anti-)de Sitter spacetime and introduce a second-order Godunov-type finite volume scheme for the approximation of discontinuous solutions to the model of interest. The effect of the cosmological constantis also taken i...
Derivation of the relativistic burgers equation on a de sitter background
Okutmuştur, Baver (null; 2014-12-17)
Recently several versions of relativistic Burgers equations have been derived on different spacetime geometries by the help of Lorentz invariance property and the Euler system of relativistic compressible flows on the related backgrounds. The concerning equations on Minkowski (flat) and Schwarzshild spacetimes are obtained in the article [6] where the finite volume approximations and numerical calculations of the given models are presented in detail. On the other hand a similar work on the Friedmann–Lemaˆıt...
Reisnerr-Nordstrom Spacetime Geometry: Derivation of the Euler and Burgers Models
Okutmuştur, Baver (2018-7-07)
A relativistic generalization of the Euler and Burgers models have recently been introduced and analyzed both theoretically and numerically. In this work we extend these analysis to a particular type of the Lorentzian manifold, so called the Reissnerr-Nordström (RS) spacetime geometry. We introduce basic properties of the R-S spacetime and its metric components containing electrical charge term which distinguish the R-S spacetime from the Schwarzshild geometry. Furthermore, we present a derivation of the Eu...
Relativistic Burgers Models on Curved Background Geometries
Okutmuştur, Baver (Springer-Verlag, 2019-01-01)
Relativistic Burgers model and its generalization to various spacetime geometries are recently studied both theoretically and numerically. The numeric implementation is based on finite volume and finite difference approximation techniques designed for the corresponding model on the related geometry. In this work, we provide a summaryof several versions of these models on the Schwarzschild, de Sitter, Schwarzschild-de Sitter, FLRW and Reissner-Nordstr¨om spacetime geometries with their particular properties.
Finite mass gravitating Yang monopoles
CEBECİ, HAKAN; Sarıoğlu, Bahtiyar Özgür; Tekin, Bayram (American Physical Society (APS), 2008-12-01)
We show that gravity cures the infrared divergence of the Yang monopole when a proper definition of conserved quantities in curved backgrounds is used, i.e. the gravitating Yang monopole in cosmological Einstein theory has a finite mass in generic even dimensions (including time). In addition, we find exact Yang-monopole type solutions in the cosmological Einstein-Gauss-Bonnet-Yang-Mills theory and briefly discuss their properties.
Citation Formats
IEEE
ACM
APA
CHICAGO
MLA
BibTeX
T. Ceylan and B. Okutmuştur, “Finite volume method for the relativistic burgers model on a (1+1)-Dimensional de sitter spacetime,”
Mathematical and Computational Applications
, pp. 0–0, 2016, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/46047.