Non-Oscillatory Central Difference Schemes and Artificial Viscosity Methods for Relativistic Hydrodynamics

Details Non-Oscillatory Central Difference Schemes and Artificial Viscosity Methods for Relativistic Hydrodynamics Non-Oscillatory Central Difference Schemes and Artificial Viscosity Methods for Relativistic Hydrodynamics

Apr 2002

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002aps..aprb17006a&link_type=abstract

American Physical Society, April Meeting, Jointly Sponsored with the High Energy Astrophysics Division (HEAD) of the American As

Astronomy and Astrophysics

Astrophysics

Scientific paper

A high resolution, non-oscillatory, central difference numerical scheme is introduced as an alternative to more traditional artificial viscosity (AV) and Godunov methods to solve the fully general relativistic hydrodynamics equations. This new approach provides the advantages of Godunov methods in capturing ultrarelativistic flows without the cost and complication of Riemann solvers, and the advantages of AV methods in their speed, ease of implementation, and general applicability without explicitly using viscosity for shock capturing. Shock tube, blast wave, wall shock, and dust accretion tests are presented and compared against equivalent solutions from other AV and TVD based hydrodynamics codes in both the Newtonian and relativistic regimes.

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