Volume 16, Issue 2
Numerical Study of Singularity Formation in Relativistic Euler Flows

Pierre A. Gremaud & Yi Sun

Commun. Comput. Phys., 16 (2014), pp. 348-364.

Published online: 2014-08

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  • 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.

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@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} }
TY - JOUR T1 - Numerical Study of Singularity Formation in Relativistic Euler Flows 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 -

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.

Pierre A. Gremaud & Yi Sun. (2020). Numerical Study of Singularity Formation in Relativistic Euler Flows. Communications in Computational Physics. 16 (2). 348-364. doi:10.4208/cicp.221212.300114a
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