@Article{CiCP-16-348, author = {}, 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 = {

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.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.221212.300114a}, url = {http://global-sci.org/intro/article_detail/cicp/7045.html} }