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

非线性渗流耦合系统的数值方法及其应用

山东大学数学研究所, 济南 250100

基金项目: 国家重点基础研究专项经费资助项目(G19990328);国家攻关基金资助项目(20050200069);国家自然科学基金资助项目(10771124;10372052);国家教育部博士点基金资助项目(20030422047)

详细信息

作者简介:
袁益让(1935- ),男,江苏靖江人,教授(联系人.Tel:+86-531-88364732;Fax:+86-531-88564652;E-mail:yryuan@sdu.edu.cn).

中图分类号: O241.82
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- 文章访问数: 2726
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- 被引次数: 0
出版历程
- 收稿日期: 2007-09-20
- 修回日期: 2008-03-24
- 刊出日期: 2008-05-15

Numerical Method for the Nonlinear Two-Phase Displacement Problem and Its Application

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

摘要

摘要: 对非线性二相渗流耦合系统提出修正迎风分数步差分格式，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．
- 非线性偶合 /
- 迎风分数步 /
- 收敛性 /
- 海水入侵 /
- 后效和调控
Abstract: For the three-dimensional nonlinear two-phase displacement problem,the modified up-wind finite difference fractional steps schemes were put forward'some techniques,such as calculus of variations,induction hypothesis,decomposition of high order difference operators,the theory of prior estimates and techniques were used.Optimal order estimates were derived for the error in the approximation solution.These methods have been successfully used in predicting the consequences of seawater intrusion and protection projects.
- nonlinear coupled /
- upwind fractional step /
- convergence /
- seawater intrusion /
- after-effect and adjusted control

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参考文献(17)

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[2]	袁益让,梁栋,芮洪兴.海水入侵及防治工程的预测模拟[A].见: 赵德山主编.海水入侵灾害防治研究[C].济南: 山东科技出版社,1996,198-204.
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非线性渗流耦合系统的数值方法及其应用

作者简介:
袁益让(1935- ),男,江苏靖江人,教授(联系人.Tel:+86-531-88364732;Fax:+86-531-88564652;E-mail:yryuan@sdu.edu.cn).

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Numerical Method for the Nonlinear Two-Phase Displacement Problem and Its Application

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非线性渗流耦合系统的数值方法及其应用

作者简介: 袁益让(1935- ),男,江苏靖江人,教授(联系人.Tel:+86-531-88364732;Fax:+86-531-88564652;E-mail:yryuan@sdu.edu.cn).

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Numerical Method for the Nonlinear Two-Phase Displacement Problem and Its Application

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出版历程

目录

作者简介:
袁益让(1935- ),男,江苏靖江人,教授(联系人.Tel:+86-531-88364732;Fax:+86-531-88564652;E-mail:yryuan@sdu.edu.cn).