Abstract

A generalization of the Response Matrix spectral nodal method is applied to fixed–source discrete ordinates (S_N) radiative transfer and neutron transport problems in slab geometry. This method is extended to forward and adjoint energy multigroup problems with anisotropic scattering including the upscattering events. We present the numerical methodology which generates S_N solutions absolutely free from spatial truncation errors. To discuss the efficiency of the method, we offer a number of numerical results for two typical test problems.

中文翻译：

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平板几何中性粒子SN源-检测器问题的响应矩阵谱节点法推广

摘要

响应矩阵光谱节点法的一般化适用于平板几何形状中固定源离散坐标（S _N）的辐射传递和中子输运问题。该方法扩展到具有各向异性散射（包括向上散射事件）的正向和伴随能量多组问题。我们提出了一种数值方法，该方法可以生成绝对没有空间截断误差的S _N解。为了讨论该方法的效率，我们针对两个典型的测试问题提供了许多数值结果。