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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PN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.

参考文献

[1] Yang J;Modest MF .Elliptic PDE formulation of general, three-dimensional high-order P-N-approximations for radiative transfer[J].Journal of Quantitative Spectroscopy & Radiative Transfer,2007(2):217-227.
[2] Modest MF;Yang J .Elliptic PDE formulation and boundary conditions of the spherical harmonics method of arbitrary order for general three-dimensional geometries[J].Journal of Quantitative Spectroscopy & Radiative Transfer,2008(9):1641-1666.
[3] Atalay, MA .P-N solutions of radiative heat transfer in a slab with reflective boundaries[J].Journal of Quantitative Spectroscopy & Radiative Transfer,2006(1):100-108.
[4] McClarren, R.G.;Hauck, C.D. .Robust and accurate filtered spherical harmonics expansions for radiative transfer[J].Journal of Computational Physics,2010(16):5597-5614.
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