| 改进的有自由面渗流问题的Bathe算法 |
| |
| 引用本文： | 郑宏,戴会超,刘德富.改进的有自由面渗流问题的Bathe算法[J].岩土力学,2005,26(4):505-512. |
| |
| 作者姓名： | 郑宏 戴会超 刘德富 |
| |
| 作者单位： | 1. 三峡大学,湖北,宜昌,443002;中国科学院武汉岩土力学研究所,武汉,430071
2. 三峡大学,湖北,宜昌,443002 |
| |
| 基金项目： | 本文的工作得到湖北省杰出青年基金和湖北省优秀创新团队基金的共同资助. |
| |
| 摘 要： | 建议了一个新的有自由面渗流问题的变分不等式提法,该提法通过将潜在出渗面上的边界条件提为Signorini型条件,从而从理论上消除了出渗点的奇性,解决了出渗点的定位问题。同时在离散求解时,通过引进依赖于网格参数的连续型Heaviside函数,克服了Bathe算法中所固有的网格依赖性,提高了这类方法的数值稳定性。
|
| 关 键 词： | 渗流 自由边值问题 Bathe算法 变分不等式 |
| 文章编号： | 1000-7598-(2005)04-0505-08 |
| 收稿时间： | 2004-06-08 |
| 修稿时间： | 2004年6月8日 |
Improved Bathe's algorithm for seepage problems with free surfaces |
| |
| ZHENG Hong,DAI Hui-chao,LIU De-fu.Improved Bathe''''s algorithm for seepage problems with free surfaces[J].Rock and Soil Mechanics,2005,26(4):505-512. |
| |
| Authors: | ZHENG Hong DAI Hui-chao LIU De-fu |
| |
| Institution: | 1. China Three Gorges University, Yichang 443002, China; 2. Institute of Rock & Soil Mechanics, Chinese Academy of Sciences, Wuhan 430071, China |
| |
| Abstract: | A new variational inequality formulation is proposed for seepage problems with free surfaces. The formulation enforces a Signorini’s type of boundary condition on the potential seepage boundaries. The singularity of the seepage points is hence eliminated theoretically; and the location of the seepage points is also determined. Meanwhile, through replacing the step Heaviside function with a continuous Heaviside function dependent on a mesh parameter during discretization, the mesh dependency inherent in Bathe’s algorithm is overcome and the numerical stability is significantly improved. |
| |
| Keywords: | seepage free boundary problems Bathe’s algorithm variational inequality |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《岩土力学》浏览原始摘要信息 |
| 点击此处可从《岩土力学》下载免费的PDF全文 |
|
