The Bardeen-Petterson effect describes the steady state of an accretion disc subjected to Lense-Thirring precession, with the inner part of the disc aligned and a smooth transition to the outer, misaligned disc. Although this effect has been confirmed using both 1D and 3D simulations, several authors have suggested that it is possible for the steady state of the disc to be strongly warped. This would result in the steady state to instead be oscillatory and misaligned at the inner edge of the disc. In this talk I will discuss our recent 3D hydrodynamical simulations of accretion discs in the context of these two predictions. I will also explore inclining the disc as a robust method for enhancing the mass accretion rate onto the black hole and the consequences of misaligned accretion on the warping of such discs.