Grain growth for astrophysics with Discontinuous Galerkin schemes

Abstract

Depending on their sizes, dust grains store more or less charges, catalyse more or less chemical reactions, intercept more or less photons and stick more or less efficiently to form embryos of planets. Hence the need for an accurate treatment of dust coagulation and fragmentation in numerical modelling. However, existing algorithms for solving the coagulation equation are over-diffusive in the conditions of 3D simulations. We address this challenge by developing a high-order solver based on the Discontinuous Galerkin method. This algorithm conserves mass to machine precision and allows to compute accurately the growth of dust grains over several orders of magnitude in size with a very limited number of dust bins.

arXiv comment17 pages, 22 figures, Accepted for publication in MNRAS

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Cited by in corpus (18)

• Dust growth and evolution in protoplanetary disks
• DustPy: A Python Package for Dust Evolution in Protoplanetary Disks
• Protostellar collapse simulations in spherical geometry with dust coagulation and fragmentation
• Fast methods for tracking grain coagulation and ionization. I. Analytic derivation
• Dust growth, fragmentation and self-induced dust traps in PHANTOM
• Fragmentation with Discontinuous Galerkin schemes: Non-linear fragmentation
• Grain Growth During Protostellar Disk Formation
• Presolar grain dynamics: creating nucleosynthetic variations through a combination of drag and viscous evolution
• TriPoD: Tri-Population size distributions for Dust evolution. Coagulation in vertically integrated hydrodynamic simulations of protoplanetary disks
• Coagulation-Fragmentation Equilibrium for Charged Dust: Abundance of Submicron Grains Increases Dramatically in Protoplanetary Disks
• High-order Discontinuous Galerkin hydrodynamics with sub-cell shock capturing on GPUs
• A Discontinuous Galerkin Solver in the FLASH Multi-Physics Framework
• General relativistic force-free electrodynamics with a discontinuous Galerkin-finite difference hybrid method
• On the 3D time evolution of the dust size distribution in protostellar envelopes
• On the Courant-Friedrichs-Lewy condition for numerical solvers of the coagulation equation
• A new multifluid method for dusty astrophysical flows. Application to turbulent protostellar collapses
• Modelling dust coagulation, dynamical drag and turbulent mixing during star and disc formation
• A fast tree algorithm for multi-component coagulation equation