  We study the multi-dimensional radiative transfer phenomena using the ISMC
scheme, in both gray and multi-frequency problems. Implicit Monte-Carlo (IMC)
schemes have been in use for five decades. The basic algorithm yields
teleportation errors, where photons propagate faster than the correct heat
front velocity. Recently [Po\"ette and Valentin, J. Comp. Phys., 412, 109405
(2020)], a new implicit scheme based on the semi-analog scheme was presented
and tested in several one-dimensional gray problems. In this scheme, the
material energy of the cell is carried by material-particles, and the photons
are produced only from existing material particles. As a result, the
teleportation errors vanish, due to the infinite discrete spatial accuracy of
the scheme. We examine the validity of the new scheme in two-dimensional
problems, both in Cartesian and Cylindrical geometries. Additionally, we
introduce an expansion of the new scheme for multi-frequency problems. We show
that the ISMC scheme presents excellent results without teleportation errors in
a large number of benchmarks, especially against the slow classic IMC
convergence.
