Fragmentation with discontinuous Galerkin schemes: non-linear fragmentation

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