The Santa Barbara Binary-Disk Code Comparison - Université de Lyon
Journal Articles The Astrophysical Journal Year : 2024

The Santa Barbara Binary-Disk Code Comparison

Paul C Duffell
  • Function : Author
Alexander J Dittmann
  • Function : Author
Daniel J d'Orazio
  • Function : Author
Alessia Franchini
  • Function : Author
Kaitlin M Kratter
  • Function : Author
Anna B.T Penzlin
  • Function : Author
Magdalena Siwek
  • Function : Author
Christopher Tiede
  • Function : Author
Haiyang Wang
  • Function : Author
Jonathan Zrake
  • Function : Author
Adam M Dempsey
  • Function : Author
Zoltan Haiman
  • Function : Author
Alessandro Lupi
  • Function : Author
Michal Pirog
  • Function : Author
Geoffrey Ryan
  • Function : Author

Abstract

We have performed numerical calculations of a binary interacting with a gas disk, using eleven different numerical methods and a standard binary-disk setup. The goal of this study is to determine whether all codes agree on a numerically converged solution, and to determine the necessary resolution for convergence and the number of binary orbits that must be computed to reach an agreed-upon relaxed state of the binary-disk system. We find that all codes can agree on a converged solution (depending on the diagnostic being measured). The zone spacing required for most codes to reach a converged measurement of the torques applied to the binary by the disk is roughly 1% of the binary separation in the vicinity of the binary components. For our disk model to reach a relaxed state, codes must be run for at least 200 binary orbits, corresponding to about a viscous time for our parameters, $0.2 (a^2 \Omega_B /\nu)$ binary orbits, where $\nu$ is the kinematic viscosity. We did not investigate dependence on binary mass ratio, eccentricity, disk temperature, or disk viscosity; therefore, these benchmarks may act as guides towards expanding converged solutions to the wider parameter space but might need to be updated in a future study that investigates dependence on system parameters. We find the most major discrepancies between codes resulted from the dimensionality of the setup (3D vs 2D disks). Beyond this, we find good agreement in the total torque on the binary between codes, although the partition of this torque between the gravitational torque, orbital accretion torque, and spin accretion torque depends sensitively on the sink prescriptions employed. In agreement with previous studies, we find a modest difference in torques and accretion variability between 2D and 3D disk models. We find cavity precession rates to be appreciably faster in 3D than in 2D.
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hal-04489745 , version 1 (01-12-2024)

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Paul C Duffell, Alexander J Dittmann, Daniel J d'Orazio, Alessia Franchini, Kaitlin M Kratter, et al.. The Santa Barbara Binary-Disk Code Comparison. The Astrophysical Journal, 2024, 970 (2), pp.156. ⟨10.3847/1538-4357/ad5a7e⟩. ⟨hal-04489745⟩
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