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

Pierre A. Gremaud & Yi Sun

DOI: 10.4208/cicp.221212.300114a

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 = {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 = {

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 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 -

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 and Yi Sun. (2014). 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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