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On numerical relativistic hydrodynamics and barotropic equations of state
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On numerical relativistic hydrodynamics and barotropic equations of state
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The characteristic formulation of the relativistic hydrodynamic equations (Donat et al 1998 J. Comput. Phys. 146 58), which has been implemented in many relativistic hydro-codes that make use of Godunov-type methods, has to be slightly modified in the case of evolving barotropic flows. For a barotropic equation of state, a removable singularity appears in one of the eigenvectors. The singularity can be avoided by means of a simple renormalization which makes the system of eigenvectors well defined and complete. An alternative strategy for the particular case of barotropic flows is discussed.
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Cited by 1 Pith paper
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Characteristic Decomposition for Relativistic Numerical Simulations: I. Hydrodynamics
A new transformation technique yields a simpler derivation of the relativistic hydrodynamic characteristic decomposition and a new decomposition for fluids with nuclear-statistical-equilibrium composition.
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