  We perform Monte Carlo simulations of stationary planar accretion of a
collisionless gas onto a moving Schwarzschild black hole. In this work -- a
sequel to our previous paper on the Monte Carlo method for stationary
general-relativistic Vlasov systems -- we demonstrate that our approach can be
extended beyond the simplifying assumptions of the spherical symmetry or axial
symmetry in the planar case. Our method of computing observable quantities,
such as the particle current density, can be regarded as a rigorous coarse
graining scheme, adapted to a numerical grid. Main difficulties are related to
the appropriate parametrization of particle trajectories and a selection of
parameters consistent with assumed requirements on the distribution function.
