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:具有各向异性散射的多组平板几何固定源S_N问题的光谱绿色的函数节点方法

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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:对于多群,固定源,平板 - 几何离散坐标(S_N)问题,开发了光谱绿色函数(SGF)方法的概念,具有各向异性散射。具有单节点块反转(NBI)迭代方案的所提供的SGF方法会聚完全没有用于HultiGroup Slab-Geometry S_N问题的空间截断误差的数值解决方案,其散射令L

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