Publisher： Cambridge University Press
E-ISSN： 1991-7120|16|2|348-364
ISSN： 1815-2406
Source： Communications in Computational Physics, Vol.16, Iss.2, 2014-08, pp. : 348-364
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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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