Dependence of convective boundary mixing on boundary properties and turbulence strength

Cristini, A; Hirschi, R; Meakin, C; Arnett, D; Georgy, C; Walkington, I

Abstract

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 ($\propto \textrmRi_\textrmB^-a , a \sim 0.75$). 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.

Citation

Cristini, A., Hirschi, R., Meakin, C., Arnett, D., Georgy, C., & Walkington, I. (2019). Dependence of convective boundary mixing on boundary properties and turbulence strength. Monthly Notices of the Royal Astronomical Society, 484(4), 4645 - 4664. https://doi.org/10.1093/mnras/stz312

• Journal Article Type: Article
• Acceptance Date: Jan 25, 2019
• Online Publication Date: Feb 1, 2019
• Publication Date: 2019-04
• Publicly Available Date: May 26, 2023
• Journal: Monthly Notices of the Royal Astronomical Society
• Print ISSN: 0035-8711
• Publisher: Oxford University Press
• Peer Reviewed: Peer Reviewed
• Volume: 484
• Issue: 4
• Pages: 4645 - 4664
• DOI: https://doi.org/10.1093/mnras/stz312
• Keywords: convection, hydrodynamics, ISM: evolution
• Publisher URL: https://doi.org/10.1093/mnras/stz312