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二维柱几何各向异性输运问题的数值计算方法
引用本文:杜明笙,冯铁凯,傅连祥,曹常恕,刘玉兰.二维柱几何各向异性输运问题的数值计算方法[J].计算物理,1987,4(4):401-412.
作者姓名:杜明笙  冯铁凯  傅连祥  曹常恕  刘玉兰
作者单位:应用物理与计算数学研究所北京
摘    要:本文研究了求解二维输运问题的各向异性三角网间断有限元数值方法。详细讨论了求解过程,给出了解的预估公式,证明了数值解的存在唯一性和数值方法的稳定性。给出了各向异性问题的二维数值计算结果及钨——碳临界装置TCCA11]的二维数值计算结果。并与国内外SN数值计算及实验结果进行比较,取得了令人满意的结果。

收稿时间:1986-05-02

A NUMERICAL METHOD FOR TWO-DIMENSIONAL ANISOTROPIC TRANSPORT PROBLEM IN CYLINDRICAL GEOMETRY
Du Ming-sheng,Feng Tie-kai,Fu Lian-xiang,Cao Chang-shu,Liu Yu-Lan.A NUMERICAL METHOD FOR TWO-DIMENSIONAL ANISOTROPIC TRANSPORT PROBLEM IN CYLINDRICAL GEOMETRY[J].Chinese Journal of Computational Physics,1987,4(4):401-412.
Authors:Du Ming-sheng  Feng Tie-kai  Fu Lian-xiang  Cao Chang-shu  Liu Yu-Lan
Institution:Institute of Applied Phys. and Computational Math
Abstract:We deal with the triangular mesh-discontinuous finite element method for solving the time-dependent anisotropic neutron transport problem in two-dimensional cylindrical geometry. A priori estimate of the numerical solution is given. Stability is proved. We have computed a two dimensional anisotropic neutron transport problem and a Tungsten-Carbide critical assembly problem by using the numerical method. In comparision with DSN method and the experiments the method is satisfactory.
Keywords:
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