Current Status of Simulations

TL;DR

This paper reviews the current state of numerical simulations of black hole accretion disks, emphasizing recent advances in general relativistic MHD models within a few tens of gravitational radii.

Contribution

It provides a comprehensive overview of recent simulation techniques and results, highlighting developments in general relativistic MHD and future research directions.

Findings

Advances in general relativistic MHD simulations of accretion disks.

Insights into accretion processes within tens of gravitational radii.

Discussion of future simulation methodologies and challenges.

Abstract

As the title suggests, the purpose of this chapter is to review the current status of numerical simulations of black hole accretion disks. This chapter focuses exclusively on global simulations of the accretion process within a few tens of gravitational radii of the black hole. Most of the simulations discussed are performed using general relativistic magnetohydrodynamic (MHD) schemes, although some mention is made of Newtonian radiation MHD simulations and smoothed particle hydrodynamics. The goal is to convey some of the exciting work that has been going on in the past few years and provide some speculation on future directions.