TY - JOUR
T1 - Numerical Study of Singularity Formation in Relativistic Euler Flows
AU - Pierre A. Gremaud & Yi Sun
JO - Communications in Computational Physics
VL - 2
SP - 348
EP - 364
PY - 2014
DA - 2014/08
SN - 16
DO - http://doi.org/10.4208/cicp.221212.300114a
UR - https://global-sci.org/intro/article_detail/cicp/7045.html
KW - 
AB - <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>