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一维辐射传递的格子玻尔兹曼方法。

Lattice Boltzmann method for one-dimensional radiation transfer.

作者信息

Ma Yu, Dong ShiKui, Tan HePing

机构信息

School of Energy Science and Engineering, Harbin Institute of Technology, Harbin, People's Republic of China.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2011 Jul;84(1 Pt 2):016704. doi: 10.1103/PhysRevE.84.016704. Epub 2011 Jul 14.

DOI:10.1103/PhysRevE.84.016704
PMID:21867340
Abstract

The macroscopic conservation equations of radiation energy and radiation momentum are derived on the basis of radiation hydrodynamics. Based on the Chapman-Enskog method, the lattice Boltzmann model for one-dimensional radiative transfer is proposed from the Boltzmann equation. The numerical simulation results agree well with the exact solution and show that the lattice Boltzmann method developed in this paper has good accuracy and stability for solving one-dimensional radiative transfer problems.

摘要

基于辐射流体动力学推导了辐射能量和辐射动量的宏观守恒方程。基于查普曼-恩斯科格方法，从玻尔兹曼方程出发提出了一维辐射传输的格子玻尔兹曼模型。数值模拟结果与精确解吻合良好，表明本文所发展的格子玻尔兹曼方法在求解一维辐射传输问题时具有良好的精度和稳定性。

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