平行板间各向异性散射介质辐射传递方程求解

Solution of radiative transfer equation in anisotropic scattering plane-parallel medium using DRESOR method

通过计算离散能束在传播过程中散射的能量在空间方向上的分布份额,用基于蒙特卡洛法的DRESOR法在平行平板系统内对相函数分别为一阶前向、一阶后向的各向异性散射介质中的辐射传递方程进行了求解,分别给出了各向异性散射条件下系统边界的具有较高方向分辨率的辐射强度分布以及系统内的热流、热源和入射辐射分布,并对各向异性散射对结果的影响进行了分析.将计算辐射强度结果代入辐射传递方程进行验证计算,验证结果的比较证明了DRESOR法求解辐射传递方程的有效性和正确性,并且计算结果达到了很高的精度.

DRESOR（distributions of ratios of energy scattered by the medium or reflected by the boundary surface）method was developed to solve the Radiative Transfer Equation （RTE） in an anisotropic scattering medium on the basis of Monte Carlo method（MCM）. Numerical computations were performed in a one-dimensional plane slab with an absorption, emiting and anisotropic scattering medium. By calculating a scattering distribution matrix and DRESOR distributions, the radiative intensity could be obtained with high directional resolution for the different scattering phases. To verify the DRESOR algorithm, the results of radiative intensity of the DRESOR method were brought back into RTE to get the validation intensity. Comparison between the two radiative intensities was made. The result proved the validity and correctness on the application of DRESOR method to solve radiative transfer equation. The calculation result reached high precision.