Truncated Moment Formalism for Radiation Hydrodynamics in Numerical Relativity

By M. Shibata, Kentaro Kiuchi, Y. Sekiguchi, Y. Suwa. 2011

145 citations recorded by the source corpus.

A truncated moment formalism for general relativistic radiation hydrodynamics, based on Thorne’s moment formalism, is derived. The fluid rest frame is chosen to be the fiducial frame for defining the radiation moments. Then, zeroth-, first-, and second-rank radiation moments are defined from the distribution function with a physically reasonable assumption for it in the optically thin and thick limits. The source terms are written, focusing specifically on the neutrino transfer and neglecting higher harmonic angular dependence of the reaction angle. Finally, basic equations for a truncated moment formalism for general relativistic radiation hydrodynamics in a closed covariant form are derived assuming a closure relation among the radiation stress tensor, energy density, and energy flux, and a variable Eddington factor, which works well. Subject Index: 451, 480, 483

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/6623d981eacee95d5254874395c4188fc2e27cda

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

In Nuclear and High Energy Physics

Citations in the corpus

Global comparison of core-collapse supernova simulations in spherical symmetry (2018, background): “The neutrino transport is done via an energy-dependent M1 scheme where both the zeroth (energy density) and first (momentum density) angular moments of the neutrino distribution function are evolved [54, 68, 69].”
A successful 3D core-collapse supernova explosion model (2018, background): “Ge and Gm j are the main terms to add in order to include gravitational redshifts (Rampp & Janka 2002; Shibata et al. 2011).”
Mass Ejection from the Remnant of a Binary Neutron Star Merger: Viscous-radiation Hydrodynamics Study (2017, methodology): “For solving the evolution equations for freestreaming neutrinos, we employ the so-called M1 scheme with a closure relation (Shibata et al. 2011), and, for trapped neutrinos, we employ a leakage-based scheme developed by Sekiguchi (2010).”
Dynamical Mass Ejection from Binary Neutron Star Mergers (2016, methodology): “Neglecting scattering, the balance of absorption and emission of the free-streaming neutrinos can be derived from the first moment of the Boltzmann equation (Thorne 1981; Shibata et al. 2011), ∇αJαX = R eff X − κXnX .”
Comprehensive nucleosynthesis analysis for ejecta of compact binary mergers (2014, methodology): “…of the formalism and its implementation we refer to a dedicated paper (Just et al. 2015) and for other implementations of similar schemes the reader may consult, e.g. Audit et al. (2002), Shibata et al. (2011), O’Connor & Ott (2013), Skinner & Ostriker (2013), and SAa̧dowski et al. (2013).”
AN OPEN-SOURCE NEUTRINO RADIATION HYDRODYNAMICS CODE FOR CORE-COLLAPSE SUPERNOVAE (2014, methodology): “Following Shibata et al. (2011), we estimate 4 We are indebted to Luke Roberts for many discussions on this topic and for the ultimateO(v/c) solution in GR1D. the characteristic speeds needed in the Riemann solution via an interpolation between the optically thick and free streaming…”
Exploring Fundamentally Three-dimensional Phenomena in High-fidelity Simulations of Core-collapse Supernovae (2018, unknown): “It is based on the work of O’Connor (2015); Shibata et al. (2011); Cardall et al. (2013).”
The Gravitational Wave Signal from Core-collapse Supernovae (2018, methodology): “We use an M1 tensor closure for the 2nd and 3rd moments of the radiation fields (Vaytet et al. 2011; Shibata et al. 2011; Murchikova et al. 2017).”