In proper ranges of operating conditions, granular materials inside rotating drums display a continuum motion near their free surface. The motion of those discrete systems was studied both experimentally and through Discrete Element Method (DEM) numerical simulations. However, it can be regarded as the flow of a continuum medium, thus allowing a continuum mechanics approach. In our work, we solve the continuum dynamic equations by adopting the visco-plastic JFP constitutive model Jop et al. (Nature 441:727-730, 2006) for the stress tensor, and study the continuous flow of dry grains inside axially rotating cylinders through both 2D and 3D finite volume simulations (FVM). Our preliminary results are in qualitative agreement with some experimental data previously published. In contrast with the solid and gaseous behaviors, for which advanced theoretical frameworks exist, the theory for dense liquid regime is still at a rather early stage of development. Many observed phenomena and main features of liquid-like granular flows are still only tentatively described theoretically; we mention, as examples:• The presence of a yield criterion: the flow is only possible beyond a critical shear stress; • The complex dependence of flow response on the flow rate; • The strong dependence on geometric factors, such as size and shape of the particles and geometric details of the flow.The above mentioned theoretical approaches to dense liquid-like granular flows are based on direct numerical simulations of the grain system or on descriptions at the continuum mechanics level. For the latter case, of interest here, a constitutive equation for the stress tensor of granular media has been recently proposed [4] and tested in some simple geometries and/or flow conditions. Complex flow situations, on the other hand, have not been systematically tackled within this approach, and the present paper is a novel contribution in this direction.Among complex granular material flows, one of the most interesting is the flow inside a cylinder rotating about its axis, the so called "rotating drum" problem. This kind of flow has been largely investigated in literature, in part also due to its