解二维输运问题的三角网间断有限元法

计算物理 ›› 1984, Vol. 1 ›› Issue (1): 84-100.

解二维输运问题的三角网间断有限元法

杜明笙, 冯铁凯, 傅连祥, 曹常恕, 刘玉兰

应用物理与计算数学研究所

收稿日期:1983-12-09 出版日期:1984-06-24 发布日期:1984-06-24

THE TRIANGULAR MESH-DISCONTINUOUS FINITE ELEMENT METHOD FOR THE TWO-DIMENSIONAL TRANSPORT PROBLEM

DU MING-SHENG, FENG TIE-KAI, PU LIAN-XIANG, CAO CHANG-SHU, LIU YU-LAN

Institute of Applied Phys. and Computational Math

Received:1983-12-09 Online:1984-06-24 Published:1984-06-24

摘要/Abstract

摘要： 本文研究了求解二维柱对称几何中子输运问题的三角网间断有限元法,证明了数值方法的稳定性,给出了一些数值计算结果,并与精确解和DSN等方法的计算结果进行了比较,取得了满意的结果。

Abstract: A discontinuous finite element numerical method for treating transient or steady neutron ransport problem with 2-D Cylindrical symmetry is presented.We use central difference of Crank-Nicholson type for time variable, while the discritization in phase space is shown in fig.1 for a special case.In geometrical space triangular mesh is used, which can be generated automatically in our program.Numerical analysis starts from an aprioestimate of a normal.From which uniqueness and stability follow.Satisfactory numerical tests are shown including comparison with an exact solution as well as with results obtained using DSN method.

杜明笙, 冯铁凯, 傅连祥, 曹常恕, 刘玉兰. 解二维输运问题的三角网间断有限元法[J]. 计算物理, 1984, 1(1): 84-100.

DU MING-SHENG, FENG TIE-KAI, PU LIAN-XIANG, CAO CHANG-SHU, LIU YU-LAN. THE TRIANGULAR MESH-DISCONTINUOUS FINITE ELEMENT METHOD FOR THE TWO-DIMENSIONAL TRANSPORT PROBLEM[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 1984, 1(1): 84-100.