Fragmentation with discontinuous Galerkin schemes: non-linear fragmentation

Small grains play an essential role in astrophysical processes such as chemistry, radiative transfer, and 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 overdiffusion 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.