Numerical simulations have historically played a major role in understanding the hydrodynamics of the tidal disruption process. Given the complexity of the geometry of the system, the challenges posed by the problem have indeed stimulated much work on the numerical side. Smoothed Particles Hydrodynamics methods, for example, have seen their very first applications in the context of tidal disruption and still play a major role to this day. Likewise, initial attempts at simulating the evolution of the disrupted star with the so-called affine method have been historically very useful. In this Chapter, we provide an overview of the numerical techniques used in the field and of their limitations, and summarize the work that has been done to simulate numerically the tidal disruption process.

中文翻译：

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潮汐干扰事件模拟

历史上，数值模拟在理解潮汐破坏过程的流体动力学方面发挥了重要作用。鉴于系统几何结构的复杂性，该问题带来的挑战确实刺激了数值方面的大量工作。例如，平滑粒子流体动力学方法已经在潮汐干扰的背景下首次应用，并且直到今天仍然发挥着重要作用。同样，用所谓的仿射方法模拟被破坏的恒星演化的初步尝试在历史上非常有用。在本章中，我们概述了现场使用的数值技术及其局限性，并总结了为数值模拟潮汐中断过程所做的工作。