任意阶球谐函数法求解辐射传输问题的误差分析  

Error Analysis of Arbitrary Order Spherical Harmonics Method for Radiative Heat Transfer

作　　者：袁远[1] 杨果[1] 刘彬[1] 谈和平[1] 

机构地区：[1]哈尔滨工业大学,能源科学与工程学院,黑龙江哈尔滨150001

出　　处：《工程热物理学报》2011年第6期1043-1046,共4页Journal of Engineering Thermophysics

基　　金：国家自然科学基金资助项目(No.50806017;No.50930007)

摘　　要：针对各向异性散射介质内的红外辐射传输开展数值方法研究。应用球谐函数展开推导了一维吸收、发射、散射性灰介质的辐射传输近似方程组,采用差分方法结合三对角矩阵解法建立了任意阶辐射传输近似方程数值解法。并通过计算算例验证了高阶P_N方法的数值无关性问题。计算结果表明,高阶球谐函数数值解与理论解吻合得很好,同时计算验证了不同展开阶数对数值结果的影响。A numerical method,used for infrared radiative transmission in anisotropic scattering medium,was developed in this paper.The radiative transfer equation for a one-dimensional absorbing, emitting and scattering gray medium was deduced using the expansion of spherical harmonics （P_N-Approximation）,and the numerical method of arbitrary order radiative transfer equation was established applying difference methods combining tridiagonal matrix algorithm（TDMA）.The numerical independence of high-order P_N-Approximation method was verified through the calculation cases. The calculation results showed that numerical solutions calculated by high-order P_N-Approximation method coincide well with theoretical solutions,and the influence of different expansion orders on the numerical results was verified.

关 键 词：辐射传输 球谐函数法 各向异性散射 

分 类 号：TK123[动力工程及工程热物理—工程热物理]