Dependence of convective boundary mixing on boundary properties and turbulence strength
AffiliationUniv Arizona, Dept Astron
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PublisherOXFORD UNIV PRESS
CitationA Cristini, R Hirschi, C Meakin, D Arnett, C Georgy, I Walkington, Dependence of convective boundary mixing on boundary properties and turbulence strength, Monthly Notices of the Royal Astronomical Society, Volume 484, Issue 4, April 2019, Pages 4645–4664, https://doi.org/10.1093/mnras/stz312
Rights© 2019 The Author(s) Published by Oxford University Press on behalf of the Royal Astronomical Society
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AbstractConvective 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 proportional to L-1/3 and Ri(B) proportional to 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, Ri(B) (proportional to Ri(B)(-alpha), alpha similar to 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.
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SponsorsEU-FP7-ERC-2012-St Grant ; World Premier International Research Centre Initiative (WPI Initiative), MEXT, Japan; COST (European Cooperation in Science and Technology) [CA16117]; NASA [NNX17AG24G]; Office of Science of the U.S. Department of Energy [DE-AC02-05CH11231]; National Science Foundation [OCI-1053575]; NSF at the University of Arizona ; BIS National E-infrastructure capital grant [ST/K00042X/1]; STFC capital grants [ST/H008519/1, ST/K00087X/1]; STFCDiRAC Operations grant [ST/K003267/1]; Durham University; PRACE; Barcelona Supercomputing Center, Spain