@Article{CiCP-16-348,
author = {Pierre A. Gremaud and Yi Sun},
title = {Numerical Study of Singularity Formation in Relativistic Euler Flows},
journal = {Communications in Computational Physics},
year = {2014},
volume = {16},
number = {2},
pages = {348--364},
abstract = {<p style="text-align: justify;">The formation of singularities in relativistic flows is not well understood.
Smooth solutions to the relativistic Euler equations are known to have a finite lifespan;
the possible breakdown mechanisms are shock formation, violation of the subluminal
conditions and mass concentration. We propose a new hybrid Glimm/central-upwind
scheme for relativistic flows. The scheme is used to numerically investigate,
for a family of problems, which of the above mechanisms is involved.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.221212.300114a},
url = {http://global-sci.org/intro/article_detail/cicp/7045.html}
}