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Extension of the piecewise parabolic method to one-dimensional relativistic hydrodynamics. (English) Zbl 0839.76056
Summary: An extension to one-dimensional relativistic hydrodynamics of the piecewise parabolic method (PPM) using an exact relativistic Riemann solver is presented. Results of several tests involving ultrarelativistic flows, strong shocks and interacting discontinuities are shown. A comparison with Godunov’s method demonstrates that the main features of PPM are retained in our relativistic version.

MSC:
76M20 Finite difference methods applied to problems in fluid mechanics
76Y05 Quantum hydrodynamics and relativistic hydrodynamics
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