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    National Tsing Hua University Institutional Repository > 原子科學院  > 核子工程與科學研究所 > 博碩士論文  >  二維多群節點擴散方法用於矩形及六角形幾何之程式開發

    Please use this identifier to cite or link to this item: http://nthur.lib.nthu.edu.tw/dspace/handle/987654321/86134

    Title: 二維多群節點擴散方法用於矩形及六角形幾何之程式開發
    Authors: 王瑞渝
    Wang, Jui-Yu
    Description: GH029913507
    Date: 2014
    Keywords: 六角形幾何;節點格林函數法;粗網格有限差分法
    Hexagonal Geometry;Hybrid Nodal Green’s Function Method;Coarse Mesh Finite Difference method
    Abstract: 摘要
    A 2-D multi-group nodal diffusion code is developed. The code is formulated based on Nodal Green’s Function Method together with coarse mesh finite difference method (CMFD), which is coupling with nodal averaged fluxes as unknowns. The code is applicable in either rectangle geometry or hexagonal geometry with arbitrary prompt neutron groups.
    For hexagonal geometry, singular terms arise from the transverse integration procedure. Wagner’s approximation is applied, which omits these terms and then, following Fitzpatrick and Ougouag, we compensate for the omitted terms through rigorous nodal balance equations.
    There are two different coupling methods used in this code development. One is traditionally 1-D coupling, which is achieved by spatial sweeping through a set of 1-D equation systems. Another is full-scale coupling, which is achieved by using multi-dimensional nodal balance equation to couple all the spatial nodes. Therefore, a “sweep-free” algorithm is formed.
    Transient calculations routine is further developed for rectangle geometry and slab geometry. Backward difference method was used to approximate the time derivative terms in space-time kinetic equations.
    Several benchmark problems have been performed. All the results agree well with results of other codes in the literatures.
    URI: http://nthur.lib.nthu.edu.tw/dspace/handle/987654321/86134
    Source: http://thesis.nthu.edu.tw/cgi-bin/gs/hugsweb.cgi?o=dnthucdr&i=sGH029913507.id
    Appears in Collections:[核子工程與科學研究所] 博碩士論文

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