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首页> 外文会议>International conference on mathematics and computational methods applied to nuclear science and engineering >THE SPECTRAL GREEN's FUNCTION NODAL METHOD FOR MULTIGROUP SLAB-GEOMETRY FIXED-SOURCE S_N PROBLEMS WITH ANISOTROPIC SCATTERING
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THE SPECTRAL GREEN's FUNCTION NODAL METHOD FOR MULTIGROUP SLAB-GEOMETRY FIXED-SOURCE S_N PROBLEMS WITH ANISOTROPIC SCATTERING

机译：各向异性各向异性多板平板几何固定源S_N问题的谱格林函数结点法

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摘要

A generalization of the spectral Green's function (SGF) method is developed for multigroup, fixed-source, slab-geometry discrete ordinates (S_N) problems with anisotropic scattering. The offered SGF method with the one-node block inversion (NBI) iterative scheme converges numerical solutions that are completely free from spatial truncation errors for multigroup slab-geometry S_N problems with scattering anisotropy of order L, provided L ＜ N. As a coarse-mesh numerical method, the SGF method generates numerical solutions that generally do not give detailed information on the problem solution profile, as the grid points can be located considerably away from each other. Therefore, presented here is a technique for the spatial reconstruction of the coarse-mesh solution generated by the multigroup SGF method. Numerical results are given to illustrate the method's accuracy.
机译：针对具有各向异性散射的多组固定源平板几何离散纵坐标（S_N）问题，开发了频谱格林函数（SGF）方法的一般化方法。提供的具有一节点块反转（NBI）迭代方案的SGF方法收敛了数值解，该解对于具有L阶散射各向异性的多组平板几何S_N问题完全没有空间截断误差，条件是L ＜N。网格数值方法，SGF方法生成的数值解通常不会给出有关问题解轮廓的详细信息，因为网格点之间的位置可能相当远。因此，这里提出了一种通过多组SGF方法生成的粗网格解的空间重构技术。数值结果表明了该方法的准确性。

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