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定时间步长变坐标步长差分求解单相Stefan问题
引用本文: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.
作者姓名:吴兆春
作者单位:上海大学 上海市应用数学和力学研究所, 上海 200072
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  
文章编号:1001-246X(2003)06-0521-04
收稿时间:2002-10-18
修稿时间:2002年10月18

Finite Difference Approach to Single-phase Stefan Problems by Using Fixed-time Step and Variable Space Interval Method
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.
Authors:DU Jin-feng
Institution:Institute of Nuclear Physics and Chemistry, China Academy of Engineering Physics, Mianyang 621900, China
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.
Keywords:moving interface  fixed-tirne-Mfep and variable-spaoe-interval finile differene approach  Stefam problem  
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