  We consider the problem of star consumption by supermassive black holes in
non-spherical (axisymmetric, triaxial) galactic nuclei. We review the previous
studies of the loss-cone problem and present a novel simulation method which
allows to separate out the collisional (relaxation-related) and collisionless
(related to non-conservation of angular momentum) processes and determine their
relative importance for the capture rates in different geometries. We show that
for black holes more massive than 10^7 Msun, the enhancement of capture rate in
non-spherical galaxies is substantial, with even modest triaxiality being
capable of keeping the capture rate at the level of few percent of black hole
mass per Hubble time.
