4.7 Article

Fragmentation with discontinuous Galerkin schemes: non-linear fragmentation

Journal

MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY
Volume 517, Issue 2, Pages 2012-2027

Publisher

OXFORD UNIV PRESS
DOI: 10.1093/mnras/stac2232

Keywords

methods: numerical; dust; extinction

Funding

  1. Ministry of Science and Technology, Taiwan [MOST 110-2636-M-003-001]
  2. ERC CoG (European Research Council Consolidator Grant) project PODCAST [864965]
  3. European Union's Horizon 2020 research and innovation programme under the Marie Skodowska-Curie grant [823823]
  4. Excellence Cluster ORIGINS - Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany Excellence Strategy [EXC-2094 - 390783311]
  5. Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) [325594231]
  6. European Research Council (ERC) [864965] Funding Source: European Research Council (ERC)

Ask authors/readers for more resources

Small grains are crucial in astrophysical processes and their population is maintained by fragmentation due to collisions. However, current algorithms for solving the fragmentation equation suffer from overdiffusion in 3D simulations. To address this challenge, we have developed a discontinuous Galerkin scheme to efficiently solve the non-linear fragmentation equation with a limited number of dust bins.
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.

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