Davide Fiacconi - April 5, 2017 Modelling black hole spin evolution in hydrodynamical simulations Most general astrophysical conditions require two quantities to characterise a black hole: its mass and angular momentum (or spin). At zeroth order, a black hole can "communicate" with the surroundings owing to its mass, pulling material in an almost newtonian fashion when far enough. On the other hand, the spin starts to reveal the intrinsically relativistic nature of black holes and it can affect the evolution of matter in the black hole proximity, namely in the accretion disc. Not only this changes the radiative efficiency, and therefore the amount of energy released by accretion, but it is also a tracer of the black hole growth history and sets the recoil velocity of merging black holes. I will describe the recent attempts to introduce a sub-grid model for the mass accretion onto the black hole and the spin evolution via the coupling with the underlying accretion disc. I will show very preliminary results from simulations, discussing also the difficulties in creating a general model.