Simulating the multi-scale environment of supermassive black holes

The recent observations of supermassive black holes (SMBHs) Sgr A* and M87* performed by the Event Horizon Telescope (EHT) allow us to study these strong gravity systems in a completely new way. The interpretation of these observations has gained considerable insight from comparisons with libraries of numerical simulations. In this talk, we will briefly review the process of simulation-based modeling used within the EHT, including its limitations and the future directions in modeling techniques that have been proposed to overcome them. Finally, we will focus our attention on the important role of the large-scale environment surrounding these objects in shaping the horizon-scale flow, and present a new simulation setup that aims to incrementally incorporate information from the large scales in event-horizon scale simulations.