摘要
详细讨论了时间相关热交换问题扩散方程基本解的时间积分特性,给出了完整的解析处理及相应级数展开表达式,并提出采用按时段构造的时间单元局部化基本解作为边界元法的加权函数,从而显著减少可动边界问题边界元解法的存贮量和计算时间。
The diffusion fundamental solution for transient heat transfer problem and its integral behavior are discussed in this paper. The complete analytical formulation and corre- spending series expansion are presented. Then a local defined time dependent fundamental so- lotion is introduced in a time step as the weighted function in BEM scheme ,so that the com- putational storage and CPU time could be reduced considerably.
出处
《武汉大学学报(自然科学版)》
CSCD
1997年第3期289-295,共7页
Journal of Wuhan University(Natural Science Edition)
基金
国家自然科学基金
关键词
扩散算子
指数积分
扩散方程
基本解
积分处理
diffusion equation , fundamental solution .exponential integral , BEM . phase- change front