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

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

2002-06-16

arxiv.org/abs/astro-ph/0206265v2

Astrophys.J.Suppl. 144 (2003) 243

Astronomy and Astrophysics

Astrophysics

30 pages, 11 figures, revised to match accepted version, to appear in ApJS (scheduled 02/2003)

Scientific paper

10.1086/344723

High resolution, non-oscillatory, central difference (NOCD) numerical schemes are introduced as alternatives to more traditional artificial viscosity (AV) and Godunov methods for solving the fully general relativistic hydrodynamics equations. These new approaches provide the advantages of Godunov methods in capturing ultra-relativistic 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 artificial viscosity for shock capturing. Shock tube, wall shock, and dust accretion tests, all with adiabatic equations of state, are presented and compared against equivalent solutions from both AV and Godunov based codes. In the process we address the accuracy of time-explicit NOCD and AV methods over a wide range of Lorentz factors.

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