  Small grains play an essential role in astrophysical processes such as
chemistry, radiative transfer, gas/dust dynamics. The population of small
grains is mainly maintained by the fragmentation process due to colliding
grains. An accurate treatment of dust fragmentation is required in numerical
modelling. However, current algorithms for solving fragmentation equation
suffer from an over-diffusion in the conditions of 3D simulations. To tackle
this challenge, we developed a Discontinuous Galerkin scheme to solve
efficiently the non-linear fragmentation equation with a limited number of dust
bins.
