Development and Application of Numerical Techniques for General-Relativistic Magnetohydrodynamics Simulations of Black Hole Accretion
arXiv:1906.09708
Abstract
We describe the implementation of sophisticated numerical techniques for general-relativistic magnetohydrodynamics simulations in the Athena++ code framework. Improvements over many existing codes include the use of advanced Riemann solvers and of staggered-mesh constrained transport. Combined with considerations for computational performance and parallel scalability, these allow us to investigate black hole accretion flows with unprecedented accuracy. The capability of the code is demonstrated by exploring magnetically arrested disks.
PhD thesis from 2016. 99 pages, 46 figures. A more succinct but less complete presentation of methods can be found in arXiv:1511.00943. More recent and improved application results can be found in arXiv:1903.01509. It is hoped this document can be a pedagogical resource for anyone wishing to understand the details involved in GRMHD codes. Caveat lector: there may well be typos in some formulas
References in corpus (6)
- Athena: A New Code for Astrophysical MHD
- An Unsplit Godunov Method for Ideal MHD via Constrained Transport in Three Dimensions
- Equation of State in Relativistic Magnetohydrodynamics: variable versus constant adiabatic index
- An HLLC Solver for Relativistic Flows -- II. Magnetohydrodynamics
- Do Evaporating Black Holes Form Photospheres?
- Magnetic effects on the low-T/|W| instability in differentially rotating neutron stars