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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 study of infrared radiation transmission in anisotropic scattering media is carried out. The approximate equations of radiative transfer in one-dimensional absorption, emission and scattering of gray media are deduced by using the spherical harmonic function. The numerical solution of the approximate equation of radiation transfer of arbitrary order is established by the difference method and the tridiagonal matrix solution. Finally, numerical examples are given to verify the numerical independence of higher-order P_N methods. The calculated results show that the numerical solutions of the higher-order spherical harmonic functions are in good agreement with the theoretical ones, and the effects of different expansion orders on the numerical results are verified.