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RESEARCH PRODUCT
On numerical relativistic hydrodynamics and barotropic equations of state
J. A. MirallesIsabel Cordero-carriónJosé María Ibáñezsubject
PhysicsEquation of statePhysics and Astronomy (miscellaneous)FOS: Physical sciencesGeneral Relativity and Quantum Cosmology (gr-qc)AstrophysicsGeneral Relativity and Quantum CosmologyRenormalizationClassical mechanicsSingularityAstrophysics - Solar and Stellar AstrophysicsSimple (abstract algebra)Barotropic fluidSolar and Stellar Astrophysics (astro-ph.SR)Eigenvalues and eigenvectorsAlternative strategyRemovable singularitydescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2012-06-26 | Classical and Quantum Gravity |