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.
arXiv commentPhD 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 (28)
- Observational Evidence of AGN Feedback
- Monitoring stellar orbits around the Massive Black Hole in the Galactic Center
- Efficient Generation of Jets from Magnetically Arrested Accretion on a Rapidly Spinning Black Hole
- Athena: A New Code for Astrophysical MHD
- HARM: A Numerical Scheme for General Relativistic Magnetohydrodynamics
- Magnetically Arrested Disk: An Energetically Efficient Accretion Flow
- An Unsplit Godunov Method for Ideal MHD via Constrained Transport
- Intermediate-Mass Black Holes
- An Unsplit Godunov Method for Ideal MHD via Constrained Transport in Three Dimensions
- Primitive Variable Solvers for Conservative General Relativistic Magnetohydrodynamics
- An HLLC Riemann Solver for Relativistic Flows: I. Hydrodynamics
- Efficiency of Magnetized Thin Accretion Disks in the Kerr Metric
- An Extension of the Athena++ Code Framework for GRMHD Based on Advanced Riemann Solvers and Staggered-Mesh Constrained Transport
- Equation of State in Relativistic Magnetohydrodynamics: variable versus constant adiabatic index
- An HLLC Solver for Relativistic Flows -- II. Magnetohydrodynamics
- General relativistic MHD simulations of monopole magnetospheres of black holes
- GRHydro: A new open source general-relativistic magnetohydrodynamics code for the Einstein Toolkit
- High-order conservative reconstruction schemes for finite volume methods in cylindrical and spherical coordinates
- A five-wave HLL Riemann solver for relativistic MHD
- grmonty: a Monte Carlo Code for Relativistic Radiative Transport
- Magnetohydrodynamics in full general relativity: Formulation and tests
- Do Evaporating Black Holes Form Photospheres?
- Relativistic MHD in dynamical spacetimes: Improved EM gauge condition for AMR grids
- An Extended Magnetohydrodynamics Model for Relativistic Weakly Collisional Plasmas
- Relativistic Magnetohydrodynamics: Renormalized eigenvectors and full wave decomposition Riemann solver
- General Relativistic Hydrodynamics with Special Relativistic Riemann Solvers
- Magnetic effects on the low-T/|W| instability in differentially rotating neutron stars
- Relativistic effects on the Richtmyer-Meshkov instability