Numerical Study of Singularity Formation in Relativistic Euler Flows

نویسندگان

  • Pierre A. Gremaud
  • Yi Sun
  • Jan S. Hesthaven
چکیده

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 andmass concentration. We propose a new hybrid Glimm/centralupwind scheme for relativistic flows. The scheme is used to numerically investigate, for a family of problems, which of the above mechanisms is involved. AMS subject classifications: 35L67, 65M08, 65M25, 76Y05, 83C05, 83C75

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تاریخ انتشار 2014