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Modelling of stellar convection.

Friedrich Kupka1,2, Herbert J Muthsam3

  • 11Wolfgang Pauli Institute, Faculty of Mathematics, University of Vienna, Oskar-Morgenstern-Platz 1, 1090 Vienna, Austria.

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|January 18, 2019
PubMed
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This review explores stellar convection modeling, detailing low-dimensional and 3D simulation approaches. It discusses numerical methods for hydrodynamics, focusing on efficient and accurate simulations of stellar convection.

Keywords:
ConvectionHydrodynamicsModellingNumericsStars

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Area of Science:

  • Astrophysics
  • Computational fluid dynamics
  • Stellar physics

Background:

  • Stellar convection is a fundamental process in astrophysics.
  • Modeling stellar convection requires distinct approaches: low-dimensional models and 3D simulations.
  • Hydrodynamics, excluding magnetohydrodynamics (MHD), is the focus for modeling.

Purpose of the Study:

  • To provide a comprehensive overview of stellar convection modeling techniques.
  • To analyze the strengths and limitations of various low-dimensional and 3D simulation methods.
  • To discuss numerical challenges and advancements in simulating stellar convection.

Main Methods:

  • Review of existing literature on stellar convection modeling.
  • Analysis of low-dimensional models (e.g., mixing length, Reynolds stress).
  • Examination of 3D simulation techniques, including anelastic approximations and full Navier-Stokes solvers.

Main Results:

  • Two primary modeling types are essential: low-dimensional and full 3D simulations.
  • Numerical challenges in low Mach number convection simulations are addressed through equation modifications.
  • Recent developments enable direct simulation of low Mach number convection without equation modification.

Conclusions:

  • Further development of low-dimensional models is crucial.
  • 3D models can inform and improve low-dimensional models.
  • Advancements in hardware will significantly impact the capabilities of 3D stellar convection modeling.