非线性渗流耦合系统的数值方法及其应用

doi:10.1007/s10483-008-0508-x

Applied Mathematics and Mechanics (English Edition) ›› 2008, Vol. 29 ›› Issue (5): 639-652 .doi: https://doi.org/10.1007/s10483-008-0508-x

非线性渗流耦合系统的数值方法及其应用

袁益让, 梁栋, 芮洪兴, 杜宁, 王文洽

山东大学数学研究所，济南 250100

收稿日期:2007-03-23 修回日期:2008-03-22 出版日期:2008-05-18 发布日期:2008-05-18
通讯作者: 袁益让

Numerical method for nonlinear two-phase displacement problem and its application

YUAN Yi-rang, LIANG Dong, RUI Hong-xing, DU Ning, WANG Wen-qia

Institute of Mathematics, Shandong University, Jinan 250100, P. R. China

Received:2007-03-23 Revised:2008-03-22 Online:2008-05-18 Published:2008-05-18
Contact: YUAN Yi-rang

摘要/Abstract

摘要： 对非线性二相渗流耦合系统提出修正迎风分数逐步差分格式，利用变分形式、归纳法假定、高阶差分算子的分解、微分方程的先验估计理论和技巧，得到收敛性的最佳阶误差估计。
该方法已成功应用于防治海水入侵主要工程后效预测与调控模式的生产实践中。

中图分类号:

袁益让;梁栋;芮洪兴;杜宁;王文洽. 非线性渗流耦合系统的数值方法及其应用[J]. Applied Mathematics and Mechanics (English Edition), 2008, 29(5): 639-652 .

YUAN Yi-rang;LIANG Dong;RUI Hong-xing;DU Ning;WANG Wen-qia. Numerical method for nonlinear two-phase displacement problem and its application[J]. Applied Mathematics and Mechanics (English Edition), 2008, 29(5): 639-652 .

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非线性渗流耦合系统的数值方法及其应用

Numerical method for nonlinear two-phase displacement problem and its application

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