@Article{CiCP-23-500,
author = {Tuba Ceylan, Philippe G. LeFloch and Baver Okutmustur},
title = {A Finite Volume Method for the Relativistic Burgers Equation on a FLRW Background Spacetime},
journal = {Communications in Computational Physics},
year = {2018},
volume = {23},
number = {2},
pages = {500--519},
abstract = {<p style="text-align: justify;">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-Lemaître-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.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.020415.260717a},
url = {http://global-sci.org/intro/article_detail/cicp/10535.html}
}