边界元法在带可动边界的瞬时热传导问题中的应用

数学物理学报 ›› 1998, Vol. 18 ›› Issue (4): 371-377.

边界元法在带可动边界的瞬时热传导问题中的应用

唐少武, 冯振兴, 李正秀

武汉大学数学系武汉 430072

收稿日期:1996-11-13 修回日期:1997-04-22 出版日期:1998-12-26 发布日期:1998-12-26
基金资助:
国家自然科学基金资助项目

Time-Space Boundary Element Method for Transient Heat Conduction with Moving Boundary

Tang Shaowu, Feng Zhenxing, Li Zhengxiu

Department of Mathematics, Wuhan University, Wuhan 430072

Received:1996-11-13 Revised:1997-04-22 Online:1998-12-26 Published:1998-12-26

摘要/Abstract

摘要： 该文利用边界无法对二维瞬时传热和相变问题进行求解.采用空间二次曲线单元对边界进行离散化,并采用时间相关基本解正确处理了相应边界积分.计算表明该文数值格式稳定,结果与已有文献相比较吻合一致,且该文模式时段可放大,从而提高了计算效能和稳定性.

关键词: 相变问题, 边界元法, 时间相关基本解

Abstract: In this paper,a new boundary ingegral equation scheme is presented for the solution of some two-dimensional phase change problems. Using weighted residual technique,a general formulation based on space-time Green's functions is developed. Then a descritized system is-constructed,featuring quadratic interpolation over space and linear interpolation over time. The time-dependent fundamental solution is introduced together with its time and boundary inge-gration treatment. Several typical numerical examples are included to demonstrate the accuracy and stability of the numerical BEM model.

Key words: Phase change problems, Boundary element method (BEM), Time-dependent fundamental solution

唐少武, 冯振兴, 李正秀. 边界元法在带可动边界的瞬时热传导问题中的应用[J]. 数学物理学报, 1998, 18(4): 371-377.

Tang Shaowu, Feng Zhenxing, Li Zhengxiu. Time-Space Boundary Element Method for Transient Heat Conduction with Moving Boundary[J]. Acta mathematica scientia,Series A, 1998, 18(4): 371-377.