Advection dominated flows around black holes in two dimensions

We show the results of two-dimensional, azimuthally symmetric simulations of advection dominated fluid flows around black holes. We use the SPH method, and the alpha-prescription for the viscosity, including all terms in the stress tensor. We have performed calculations with 0.001 < alpha < 0.2 and find strong circulation patterns in the flow, on spatial scales that depend on the magnitude of the viscosity.