求解辐射传输方程的多松弛格子-Boltzmann模型  

Solving Radiative Transfer Equation via Multiple-relaxation-time Lattice Boltzmann Model

作　　者：刘晓川 王存海 黄勇[1] 朱克勇[1] Liu Xiaochuan;Wang Cunhai;Huang Yong;Zhu Keyong(School of Aeronautic Science and Engineering,Beihang University,Beijing 100191;School of Energy and Environmental Engineering,University of Science and Technology Beijing,Beijing 100083)

机构地区：[1]北京航空航天大学航空科学与工程学院,北京100191 [2]北京科技大学能源与环境工程学院,北京100083

出　　处：《东北电力大学学报》2021年第1期48-55,共8页Journal of Northeast Electric Power University

基　　金：国家自然科学基金(51876004,51906014)。

摘　　要：针对辐射传输方程,文中提出了一种多松弛格子-Boltzmann模型(multiple-relaxation-time lattice Boltzmann model).基于扩散尺度下的Maxwell迭代,辐射传输方程可以严格地从格子Boltzmann方程推导得出.一些数值案例用来验证本文提出的多松弛(MRT)格子-Boltzmann模型的数值特性.结果表明本文提出的多松弛格子-Boltzmann模型可以稳定及精确地求解参与性介质中的瞬态及稳态辐射传输问题.并且,该模型具有二阶精度.A multiple-relaxation-time lattice Boltzmann model is proposed for radiative transfer equation.Based on Maxwell iteration in diffusion scale,the radiative transfer equation can be derived strictly from lattice Boltzmann equation.Some numerical cases are used to verify the numerical properties of the proposed MRT lattice Boltzmann model.The results show that the MRT lattice Boltzmann model proposed in this paper can stably and accurately solve the transient and steady-state radiative transfer problems in participating media.Moreover,the model has second-order accuracy.

关 键 词：辐射传输方程 格子-BOLTZMANN方法 多松弛模型 

分 类 号：TK121[动力工程及工程热物理—工程热物理]