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Numerical Study of Singularity Formation in Relativistic Euler Flows
Published online by Cambridge University Press: 03 June 2015
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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- Copyright © Global Science Press Limited 2014
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