On the Neutrino Distributions in Phase Space for the Rotating Core-collapse Supernova Simulated with a Boltzmann-neutrino-radiation-hydrodynamics Code

Akira Harada, Hiroki Nagakura, Wakana Iwakami, Hirotada Okawa, Shun Furusawa, Hideo Matsufuru, Kohsuke Sumiyoshi, Shoichi Yamada

Research output: Contribution to journalArticle

Abstract

With the Boltzmann-radiation-hydrodynamics code, which we have developed to solve numerically the Boltzmann equations for neutrino transfer, the Newtonian hydrodynamics equations, and the Newtonian self-gravity simultaneously and consistently, we simulate the collapse of a rotating core of the progenitor with a zero-age- main-sequence mass of 11.2 M and a shellular rotation of at the center. We pay particular attention in this paper to the neutrino distribution in phase space, which is affected by the rotation. By solving the Boltzmann equations directly, we can assess the rotation-induced distortion of the angular distribution in momentum space, which gives rise to the rotational component of the neutrino flux. We compare the Eddington tensors calculated both from the raw data and from the M1-closure approximation. We demonstrate that the Eddington tensor is determined by complicated interplays of the fluid velocity and the neutrino interactions and that the M1-closure, which assumes that the Eddington factor is determined by the flux factor, fails to fully capture this aspect, especially in the vicinity of the shock. We find that the error in the Eddington factor reaches ∼20% in our simulation. This is due not to the resolution but to the different dependence of the Eddington and flux factors on the angular profile of the neutrino distribution function, and hence modification to the closure relation is needed.

Original languageEnglish
Article number181
JournalAstrophysical Journal
Volume872
Issue number2
DOIs
Publication statusPublished - 2019 Jan 1

Fingerprint

supernovae
neutrinos
hydrodynamics
closures
radiation
tensors
momentum
gravity
hydrodynamic equations
fluid
angular distribution
distribution functions
shock
simulation
distribution
code
gravitation
fluids
profiles
approximation

Keywords

  • methods: numerical
  • neutrinos
  • radiative transfer
  • shock waves
  • supernovae: general

ASJC Scopus subject areas

  • Astronomy and Astrophysics
  • Space and Planetary Science

Cite this

On the Neutrino Distributions in Phase Space for the Rotating Core-collapse Supernova Simulated with a Boltzmann-neutrino-radiation-hydrodynamics Code. / Harada, Akira; Nagakura, Hiroki; Iwakami, Wakana; Okawa, Hirotada; Furusawa, Shun; Matsufuru, Hideo; Sumiyoshi, Kohsuke; Yamada, Shoichi.

In: Astrophysical Journal, Vol. 872, No. 2, 181, 01.01.2019.

Research output: Contribution to journalArticle

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