| 解二维柱几何输运问题的离散——配置有限元方法 |
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| 引用本文： | 杜明笙,游腾高.解二维柱几何输运问题的离散——配置有限元方法[J].计算物理,1986,3(2):129-141. |
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| 作者姓名： | 杜明笙 游腾高 |
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| 作者单位： | 北京应用物理与计算数学研究所 |
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| 摘 要： | 本文研究了求解多群多种介质的二维柱几何中子输运问题的离散一配置方法(TCC)。该方法对时间t用Crank-Nicholson中心差分,源项采用离散纵标近似和源迭代技巧,对空间变量采用配置有限元方法。本文讨论了算法。证明了守恒性。并且证明了本方法在K=1时等价于DSN2]方法,因此本方法是DSN方法的高阶推广。本文还给出了数值计算结果。我们对精确解以及多个二维柱几何的临介物理问题进行了数值计算,由分析比较可见,取得了较好的结果。
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| 收稿时间： | 1985-11-26 |
ON DISCRETE-COLLOCATION METHODS FOR SOLVING THE TRANSPORT PROBLEM WITH TWO-DIMENSIONAL CYLINDRICAL SYMMETRY |
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| Du Ming-sheng,You Teng-gao.ON DISCRETE-COLLOCATION METHODS FOR SOLVING THE TRANSPORT PROBLEM WITH TWO-DIMENSIONAL CYLINDRICAL SYMMETRY[J].Chinese Journal of Computational Physics,1986,3(2):129-141. |
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| Authors: | Du Ming-sheng You Teng-gao |
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| Institution: | Institute of Applied Physics and Computational Mathematics, Beijing |
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| Abstract: | Discrete-Collocation method is considered for Solving the neutron transport equation in two-dimensional cylindrical geometry. Conservation and equivalence of the collocation method to the DSN method are derived. Finally, Some numerical results are presented. |
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