A Finite Volume Method for the Relativistic Burgers Equation on a FLRW Background Spacetime

Download

index.pdf

Date

2018-02-01

Author

Ceylan, Tuba
Lefloch, Philippe G.
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

201
views

0
downloads

A relativistic generalization of the inviscid Burgers equation was introduced by LeFloch and co-authors and was recently investigated numerically on a Schwarzschild background. We extend this analysis to a Friedmann-Lemaitre-Robertson-Walker (FLRW) background, which is more challenging due to the existence of time-dependent, spatially homogeneous solutions. We present a derivation of the model of interest and we study its basic properties, including the class of spatially homogeneous solutions. Then, we design a second-order accurate scheme based on the finite volume methodology, which provides us with a tool for investigating the properties of solutions. Computational experiments demonstrate the efficiency of the proposed scheme for numerically capturing weak solutions.

Subject Keywords

Physics and Astronomy (miscellaneous)

URI

https://hdl.handle.net/11511/46906

Journal

COMMUNICATIONS IN COMPUTATIONAL PHYSICS

DOI

https://doi.org/10.4208/cicp.020415.260717a

Collections

Department of Mathematics, Article

Suggestions

OpenMETU
Core

A First-Order Linear Model for the Estimation of Detonation Velocity Türker, Burhan Lemi (Informa UK Limited, 2011-01-01) A linear multivariable model has been derived for the estimation of detonation velocity. Then, its two simplified forms, first-order linear models, have been proposed as estimators of detonation velocities of a large population of explosives having different skeletal structures. Then, the models are analyzed mathematically and regression equations are obtained and discussed. The first model possesses two independent variables E/M and density, whereas the second one is based on E/M only. The total energy (E)...
A LOCAL CHARACTERIZATION OF SCHWARZSCHILD AND REISSNER METRICS GARCIARIO, E; KUPELI, DN (Springer Science and Business Media LLC, 1994-12-01) A local characterization of Schwarzschild and Reissner metrics is made by using the concepts of infinitesimal null anisotropy (or equivalently, infinitesimal isotropy) and weak affinity.
A theoretical study on nitrourea and its tautomers Türker, Burhan Lemi; Gumus, Selcuk; Atalar, Taner; Atlanel, Sencer (Informa UK Limited, 2008-01-01) In the present study, nitrourea and its possible tautomers have been subjected to theoretical analysis by performing Hartree-Fock and also density functional theory (DFT) calculations. The optimized geometries, vibrational frequencies, and some thermodynamical values for the presently considered species have been obtained in their ground states.
THE ENERGY LOCALIZATION PROBLEM AND THE RENORMALIZED VACUUM ENERGY IN STATIC ROBERTSON-WALKER UNIVERSES BAYM, SS (Springer Science and Business Media LLC, 1994-10-01) We calculate the renormalized quantum vacuum energy inside a spherical boundary for the massless conformal scalar field in curved background Robertson-Walker geometry. We use the mode sum method with an exponential cuttoff. In our calculations we do not make assumptions about the exterior geometry or the global topology of the universe.
General tensor Lagrangians from the gravitational Higgs mechanism DEMİR, DURMUŞ ALİ; Park, N. K. (IOP Publishing, 2009-05-21) The gravitational Higgs mechanism proposed by 't Hooft in arXiv:0708.3184 involves the spacetime metric g(mu nu) as well as the induced metric (g) over bar (mu nu) proportional to eta(ab)partial derivative(mu)phi(a)partial derivative(nu)phi(b) where phi(a) (a = 0,..., 3), as we call it, break all four diffeomorphisms spontaneously via the vacuum expectation values proportional to x(a). In this framework, we construct and analyze the most general action density in terms of various invariants involving the c...

Citation Formats

T. Ceylan, P. G. Lefloch, and B. Okutmuştur, “A Finite Volume Method for the Relativistic Burgers Equation on a FLRW Background Spacetime,” COMMUNICATIONS IN COMPUTATIONAL PHYSICS, pp. 500–519, 2018, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/46906.