Ultrarelativistic hydrodynamics - High-resolution shock-capturing methods

Statistics – Computation

Scientific paper

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Conservation Laws, Hydrodynamics, Relativistic Theory, Shock Wave Interaction, Computational Astrophysics, High Resolution, Nonlinear Systems

Scientific paper

Some high-resolution shock-capturing methods have been designed recently to solve nonlinear hyperbolic systems of conservation laws. We have extended them to the relativistic hydrodynamics system of equations via a local characteristic approach. We are presenting preliminary tests of our procedure in the ultrarelativistic case displaying the main difficulties of this regime and the way to overcome them.

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