ar X iv : a st ro - p h / 02 06 26 5 v 2 1 6 Se p 20 02 Non - Oscillatory Central Difference and Artificial Viscosity Schemes for Relativistic Hydrodynamics
نویسندگان
چکیده
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.
منابع مشابه
X iv : a st ro - p h / 02 06 26 5 v 1 1 6 Ju n 20 02 Non - Oscillatory Central Difference and Artificial Viscosity Schemes for Relativistic Hydrodynamics
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 hydrody-namics equations. These new approaches provide the advantages of Godunov methods in capturing ultra-relativistic flows without the cost and complication of Riemann solvers...
متن کاملar X iv : a st ro - p h / 99 02 06 2 v 1 4 F eb 1 99 9 SOURCES OF RELATIVISTIC JETS IN THE GALAXY
متن کامل
ar X iv : a st ro - p h / 06 02 26 4 v 1 1 2 Fe b 20 06 DENSITY PERTURBATION IN THE UNIVERSE WITH NONTRIVIAL TOPOLOGY OF SPACE - TIME
A space spectrum of density perturbation In the Universe with nontrivial topol-ogy of space-time is shown to become discrete.
متن کاملar X iv : a st ro - p h / 05 09 25 4 v 1 9 S ep 2 00 5 Cosmos + + : Relativistic Magnetohydrodynamics on Unstructured Grids with Local Adaptive Refinement
A new code and methodology are introduced for solving the general relativistic magnetohydrodynamic (GRMHD) equations in fixed background spacetimes using time-explicit, finitevolume discretization. The code has options for solving the GRMHD equations using traditional artificial-viscosity (AV) or non-oscillatory central difference (NOCD) methods, or a new extended AV (eAV) scheme using artifici...
متن کامل