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Relativistic hydrodynamics and essentially non-oscillatory shock capturing schemes

Journal Article · · Journal of Computational Physics
;  [1]
  1. Univ. of Toronto, Ontario (Canada)
Numerical solutions of relativistic hydrodynamic equations are obtained with essentially non-oscillatory (ENO) finite differencing schemes. The method is explicit, conservative, consistent with the entropy condition, and high-order accurate in space and time. The present implementation is applicable to the most general, three-dimensional problems with an arbitrary equation of state. Numerical experiments, including computations of multi-dimensional flows, demonstrate that the method delivers sharp, non-oscillatory shock transitions without sacrificing high resolution of the smooth regions. This extends results already established for the Euler gas dynamics to the relativistic regime, suggesting the usefulness of ENO schemes for modelling relativistic nuclear collisions. 28 refs., 11 figs.
OSTI ID:
110894
Journal Information:
Journal of Computational Physics, Journal Name: Journal of Computational Physics Journal Issue: 2 Vol. 120; ISSN JCTPAH; ISSN 0021-9991
Country of Publication:
United States
Language:
English

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