Numerical modelling is now a well-established and important component of impact research. When used to complement small-scale impact experiments, it provides a powerful tool for exposing the physical processes in a cratering event and for investigating the effect of individual physical parameters that are not otherwise under the experimenter's control. Moreover, once adequately validated against small-scale laboratory experiments, numerical models allow us to simulate impacts much larger and more energetic than those that can be studied experimentally.The first numerical impact simulation was published in 1961 by R.L. Bjork (Fig. 17.1). That calculation of the Meteor Crater impact simulated only the first 60 ms of the collision and did not account for gravity or the strength of the target rocks (Bjork, 1961). Nevertheless, that simulation, and those that followed in the next decades, provided great insight into the physics of hypervelocity impact, including the formation and attenuation of the detached shock wave, the fate of the impactor, and the scaling of crater dimensions (e.g. Ahrens and O'Keefe, 1977;Orphal, 1977;O'Keefe and Ahrens, 1993).Nearly half a century on, and thanks to advances in numerical impact models and much improved computational resources, numerical models that include gravity and complex material models are used routinely to simulate large terrestrial impacts, aiding interpretation of geological and geophysical observations and quantifying the energy of the impact and impact-related consequences. For example, several numerical impact models of the Chicxulub impact have been performed and compared with observational data to constrain the impact energy, the fate of the projectile, the volume of climate forcing gases released into the atmosphere, the transport and re-entry of ejected material and the regional seismicity (e.g.