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| 溶质传输问题的一个经济差分格式 | |
| 引用本文： | 张健青,谢伟伟,邹婉平,温永艳.溶质传输问题的一个经济差分格式[J].山东大学学报(理学版),2013,48(6):75-79. |
| 作者姓名： | 张健青 谢伟伟 邹婉平 温永艳 |
| 作者单位： | 1.中国矿业大学(北京)资源与安全工程学院, 北京 100083; 2.中石化胜利油田, 山东 东营 257001; 3.山东大学数学学院, 山东 济南 250100 |
| 基金项目： | 国家科技重大专项资助课题，山东省自然科学基金资助课题 |
| 摘 要： | 将求解线性对流扩散方程的特怔线修正交替方向有限差分格式推广到含非线性扩散项和源汇项的溶质传输问题。对流项采用沿着特征线修正的差分结合插值技术进行离散,每个时间步顺序求解两个空间方向上的一维问题, 证明了格式的稳定性和收敛性。 |
| 关 键 词： | 溶质传输 非线性扩散 非线性源汇项 交替方向 特征线修正技术 |
| 收稿时间： | 2012-12-18 |
An economical finite difference scheme for solute transport |
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| ZHANG Jian-qing,XIE Wei-wei,ZOU Wan-ping,WEN Yong-yan.An economical finite difference scheme for solute transport[J].Journal of Shandong University,2013,48(6):75-79. | |
| Authors: | ZHANG Jian-qing XIE Wei-wei ZOU Wan-ping WEN Yong-yan |
| Institution: | 1. Faculty of Resources ＆ Safety Engineering, China University of Mining and Technology (Beijing), Beijing 100083, China; 2. Shengli Oil Field, Dongying 257001, Shandong, China; 3. School of Mathematics, Shandong University, Jinan 250100, Shandong, China |
| Abstract: | An economical finite difference method is proposed for solving the problem of solute transport with nonlinear diffusion and source sink terms. The transport term is discretized by the method of characteristics, and the difference systerm are docomposed to several problems of individual variable using alternating direction method. An interpolation operator is introduced for the technique of characteristics. The stability and convergence are analysed by energy method. |
| Keywords: | solute transport nonlinear diffusion nonlinear source/sink term economical finite difference methods charecteristics |
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