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Journal Articles Monthly Notices of the Royal Astronomical Society Year : 2022

On the Courant-Friedrichs-Lewy condition for numerical solvers of the coagulation equation

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Abstract

Evolving the size distribution of solid aggregates challenges simulations of young stellar objects. Among other difficulties, generic formulae for stability conditions of explicit solvers provide severe constraints when integrating the coagulation equation for astrophysical objects. Recent numerical experiments have reported that these generic conditions may be much too stringent. By analysing the coagulation equation in the Laplace space, we explain why this is indeed the case and provide a novel stability condition that avoids time oversampling.

Dates and versions

insu-03711526 , version 1 (01-07-2022)

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Guillaume Laibe, Maxime Lombart. On the Courant-Friedrichs-Lewy condition for numerical solvers of the coagulation equation. Monthly Notices of the Royal Astronomical Society, 2022, 510, pp.5220-5225. ⟨10.1093/mnras/stab3499⟩. ⟨insu-03711526⟩
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