Dependence of convective boundary mixing on boundary properties and turbulence strength
- Keele Univ. (United Kingdom). Lennard-Jones Lab., Astrophysics Group
- Keele Univ. (United Kingdom). Lennard-Jones Lab., Astrophysics Group; Univ. of Tokyo, Kashiwa, Chiba (Japan). Kavli IPMU (WPI)
- Univ. of Arizona, Tucson, AZ (United States). Dept. of Astronomy; Karagozian & Cast, Inc., Glendale, CA (United States)
- Univ. of Arizona, Tucson, AZ (United States). Dept. of Astronomy
- 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
Web of Science
One-, Two-, and Three-dimensional Simulations of Oxygen-shell Burning Just before the Core Collapse of Massive Stars
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journal | August 2019 |
One-, Two-, and Three-dimensional Simulations of Oxygen Shell Burning Just Before the Core-Collapse of Massive Stars | text | January 2019 |
Hydrodynamics of core-collapse supernovae and their progenitors | text | January 2020 |
Penetration of a cooling convective layer into a stably-stratified composition gradient: entrainment at low Prandtl number | text | January 2020 |
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