Numerical Study of Singularity Formation in Relativistic Euler Flows

Numerical Study of Singularity Formation in Relativistic Euler Flows

Year:    2014

Communications in Computational Physics, Vol. 16 (2014), Iss. 2 : pp. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cicp.221212.300114a

Communications in Computational Physics, Vol. 16 (2014), Iss. 2 : pp. 348–364

Published online:    2014-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    17

Keywords:   

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