间断有限元法求解一维矢量辐射传输  

Discontinuous Finite Element Method for One-dimensional Polarized Radiative Transfer

作　　者：王存海[1] 易红亮[1] 谈和平[1] 

机构地区：[1]哈尔滨工业大学能源与科学工程学院

出　　处：《工程热物理学报》2017年第4期833-840,共8页Journal of Engineering Thermophysics

基　　金：国家自然科学基金(No.51422602);高等学校博士学科点专项科研基金(No.20132302110050)

摘　　要：采用间断有限元法(Discontinuous finite element method,DFEM)求解一维散射性介质内矢量辐射传输问题。推导了散射性介质内矢量辐射传输方程的间断有限元离散格式,空间离散采用间断有限元离散将求解域划分为相互独立的单元,角度离散在传统的均匀分段光滑近似(Piecewise Constant Approximation,PCA)角度离散基础上进行局部加密以得到关键方向上的数值解。采用两个稳态矢量辐射传输算例对间断有限元法求解矢量辐射传输方程的正确性和计算效率进行了验证,在此基础上拓展间断有限元法应用于求解散射性介质内瞬态矢量辐射传输方程,将随着时间推移过程中的瞬态辐射信息和最终的稳态结果相比较验证了本文方法的正确性。The discontinuous finite element method（DFEM） is applied to solved the polarized radiative transfer in a one-dimensional scattering medium.The derivation in a discrete form of the polarized radiation governing equations is presented,in which the spatial domain is discretized into finite non-overlapped discontinuous elements,and the angular space is discretized by the Piecewise Constant Approximation（PCA） approach with a local refined modification to obtain the numerical results for key directions.Two steady cases are tested to verify the accuracy and computational efficiency of the developed DFEM.The DFEM is then extended to solve the transient polarized radiative transfer in a scattering medium,the comparisons of the time-resolved Stokes vector with the steady ones show that the developed DFEM can handle the transient polarized radiative transfer in a scattering medium accurately.

关 键 词：间断有限元 矢量辐射传输 瞬态辐射传输 离散格式 

分 类 号：TK121[动力工程及工程热物理—工程热物理]