Walkington, I, Cristini, A, Hirschi, R, Georgy, C, Arnett, D and Meakin, C (2019) Dependence of convective boundary mixing on boundary properties and turbulence strength. Monthly Notices of the Royal Astronomical Society, 484 (4). 4645 - 4664. ISSN 0035-8711

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Convective boundary mixing is one of the major uncertainties in stellar evolution. In order to study its dependence on boundary properties and turbulence strength in a controlled way, we computed a series of 3D hydrodynamical simulations of stellar convection during carbon burning with a varying boosting factor of the driving luminosity. Our 3D implicit large eddy simulations were computed with the prompi code. We performed a mean field analysis of the simulations within the Reynolds-averaged Navier–Stokes framework. Both the vertical rms velocity within the convective region and the bulk Richardson number of the boundaries are found to scale with the driving luminosity as expected from theory: $v$ ∝ L1/3 and RiB ∝ L−2/3, respectively. The positions of the convective boundaries were estimated through the composition profiles across them, and the strength of convective boundary mixing was determined by analysing the boundaries within the framework of the entrainment law. We find that the entrainment is approximately inversely proportional to the bulk Richardson number, RiB ($\propto \textrmRi_\textrmB^-α , α \sim 0.75$). Although the entrainment law does not encompass all the processes occurring at boundaries, our results support the use of the entrainment law to describe convective boundary mixing in 1D models, at least for the advanced phases. The next steps and challenges ahead are also discussed.

Item Type: Article
Additional Information: This is the final published version of the article (version of record). It first appeared online via OUP at https://doi.org/10.1093/mnras/stz312 - Please refer to any applicable terms of use of the publisher.
Uncontrolled Keywords: convection, hydrodynamics, ISM: evolution
Subjects: Q Science > QB Astronomy > QB460 Astrophysics
Divisions: Faculty of Natural Sciences > School of Chemical and Physical Sciences
Depositing User: Symplectic
Date Deposited: 11 Apr 2019 09:03
Last Modified: 01 Mar 2021 14:05
URI: https://eprints.keele.ac.uk/id/eprint/6178

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