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arXiv 1104.3937astro-ph.HEastro-ph.SRgr-qc
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数值相对论中辐射流体力学的截断矩形式

Truncated Moment Formalism for Radiation Hydrodynamics in Numerical Relativity

Masaru Shibata, Kenta Kiuchi, Yu-ichiro Sekiguchi, Yudai Suwa

摘要:

本文在索恩矩形式的基础上,导出了广义相对论辐射流体力学的截断矩形式。选择流体静止系作为定义辐射矩的基准系。然后,零阶,第一,和第二秩辐射矩定义的分布函数与物理上合理的假设,它在光学薄和厚的限制。源项的书面,特别关注的中微子转移和忽略高次谐波角依赖的反应角。最后,假设辐射应力张量、能量密度和能流之间存在封闭关系,并假设爱丁顿因子是一个变量,导出了广义相对论辐射流体力学截断矩形式的基本方程.

英文摘要:

A truncated moment formalism for general relativistic radiation hydrodynamics, based on the 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.

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