定时间步长变坐标步长差分求解单相Stefan问题

计算物理 ›› 2003, Vol. 20 ›› Issue (6): 521-524.

定时间步长变坐标步长差分求解单相Stefan问题

吴兆春

上海大学上海市应用数学和力学研究所, 上海 200072

收稿日期:2002-10-18 修回日期:2003-04-07 出版日期:2003-11-25 发布日期:2003-11-25
作者简介:吴兆春(1958-),男,江西南昌,副教授,博士生,从事传热学、计算流体力学方面的研究,上海市漕宝路12l号,上海应用技术学院环境与能源工程系200235.

Finite Difference Approach to Single-phase Stefan Problems by Using Fixed-time Step and Variable Space Interval Method

DU Jin-feng

Institute of Nuclear Physics and Chemistry, China Academy of Engineering Physics, Mianyang 621900, China

Received:2002-10-18 Revised:2003-04-07 Online:2003-11-25 Published:2003-11-25

摘要/Abstract

摘要： 对单相Stefan问题提出了一种定时间步长、变坐标步长的差分求解方法.在固定时间步长内,以计算得到的移动界面位置作为网格节点的坐标,前后界面位置之差为空间步长,逐步地自动形成网格的划分,计算这些节点处的温度,从而获得下一时刻的移动界面的位置.

关键词: 移动边界, 定时间步长、变坐标步长的差分求解方法, Stefan问题

Abstract: A new finite difference approach to single-phase Stefafl problems is presented by using fixed-time step and variable space interval method .In fixed and equal lime steps, by taking the positions of moving interfaces obtained from computation as the grid points, and the difference between them as the space steps, meshes can be generated in computational domains gradually and automatically, the temperature is calculated at these grid points and the positions of moving interfaces of the next lime step are obtained.

Key words: moving interface, fixed-tirne-Mfep and variable-spaoe-interval finile differene approach, Stefam problem

中图分类号:

TK124

吴兆春. 定时间步长变坐标步长差分求解单相Stefan问题[J]. 计算物理, 2003, 20(6): 521-524.

DU Jin-feng. Finite Difference Approach to Single-phase Stefan Problems by Using Fixed-time Step and Variable Space Interval Method[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2003, 20(6): 521-524.

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