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Relativistic hydrodynamics and essentially non-oscillatory shock capturing schemes. (English) Zbl 0840.76047
Numerical solutions of relativistic hydrodynamic equations are obtained with essentially non-oscillatory finite difference 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.

MSC:
76M20 Finite difference methods applied to problems in fluid mechanics
76Y05 Quantum hydrodynamics and relativistic hydrodynamics
76L05 Shock waves and blast waves in fluid mechanics
Software:
REDUCE
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