Fragmentation with Discontinuous Galerkin schemes: Non-linear fragmentation

TL;DR

This paper introduces a Discontinuous Galerkin scheme to accurately model non-linear dust fragmentation in astrophysics, addressing over-diffusion issues in 3D simulations with fewer dust bins.

Contribution

It presents a novel Discontinuous Galerkin method specifically designed for non-linear fragmentation equations in astrophysics, improving numerical accuracy and efficiency.

Findings

Reduces over-diffusion in 3D dust fragmentation simulations

Efficiently models non-linear fragmentation with limited dust bins

Enhances the accuracy of dust population evolution in astrophysical contexts

Abstract

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.