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Title: Dependence of convective boundary mixing on boundary properties and turbulence strength

Journal Article · · Monthly Notices of the Royal Astronomical Society
ORCiD logo [1];  [2];  [3];  [4];  [5];  [1]
  1. Keele Univ. (United Kingdom). Lennard-Jones Lab., Astrophysics Group
  2. Keele Univ. (United Kingdom). Lennard-Jones Lab., Astrophysics Group; Univ. of Tokyo, Kashiwa, Chiba (Japan). Kavli IPMU (WPI)
  3. Univ. of Arizona, Tucson, AZ (United States). Dept. of Astronomy; Karagozian & Cast, Inc., Glendale, CA (United States)
  4. Univ. of Arizona, Tucson, AZ (United States). Dept. of Astronomy
  5. Keele Univ. (United Kingdom). Lennard-Jones Lab., Astrophysics Group; Univ. of Geneva, Versoix (Switzerland). Geneva Observatory

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. Here, 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: $$v ∝ L^{1/3}$$ 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 (∝$$Ri^{-α}_{B},α ~ 0.75$$). 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. Finally, the next steps and challenges ahead are also discussed.

Research Organization:
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC)
Sponsoring Organization:
USDOE
Grant/Contract Number:
AC02-05CH11231
OSTI ID:
1494376
Alternate ID(s):
OSTI ID: 1529946
Journal Information:
Monthly Notices of the Royal Astronomical Society, Vol. 484, Issue 4; ISSN 0035-8711
Publisher:
Royal Astronomical SocietyCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 27 works
Citation information provided by
Web of Science

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