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Numerical Study of Singularity Formation in Relativistic Euler Flows

Published online by Cambridge University Press:  03 June 2015

Pierre A. Gremaud  and
Yi Sun
Pierre A. Gremaud*
Affiliation:
Department of Mathematics, North Carolina State University, Raleigh, NC, 27695, USA
Yi Sun*
Affiliation:
Department of Mathematics, University of South Carolina, Columbia, SC 29208, USA
*
Email:gremaud@ncsu.edu
Corresponding author.Email:yisun@math.sc.edu
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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.

Keywords

35L6765M0865M2576Y0583C0583C75Relativistic Euler equationssingularity formationGlimm schemecentral-upwind schemehybrid method.
Type
Research Article
Information
Communications in Computational Physics , Volume 16 , Issue 2 , August 2014 , pp. 348 - 364
Copyright
Copyright © Global Science Press Limited 2014

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