Future Simulations of Tidal Disruption Events
Julian H. Krolik, Philip J. Armitage, Yanfei Jiang, Giuseppe, Lodato

TL;DR
This paper reviews the challenges and advancements in simulating tidal disruption events, emphasizing the importance of numerical methods to understand their complex, nonlinear physical processes.
Contribution
It provides a comprehensive overview of current simulation capabilities, limitations, and future developments for modeling tidal disruption events.
Findings
Current simulations capture key physical processes
Existing methods have limitations in non-equilibrium states
Emerging techniques may enhance understanding of TDEs
Abstract
Tidal disruption events involve numerous physical processes (fluid dynamics, magnetohydrodynamics, radiation transport, self-gravity, general relativistic dynamics) in highly nonlinear ways, and, because TDEs are transients by definition, frequently in non-equilibrium states. For these reasons, numerical solution of the relevant equations can be an essential tool for studying these events. In this chapter, we present a summary of the key problems of the field for which simulations offer the greatest promise and identify the capabilities required to make progress on them. We then discuss what has been---and what cannot be---done with existing numerical methods. We close with an overview of what methods now under development may do to expand our ability to understand these events.
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