渗流耦合系统动边值问题特征分数步差分方法

袁益让; 李长峰; 孙同军

doi:10.3879/j.issn.1000-0887.2012.02.004

渗流耦合系统动边值问题特征分数步差分方法

doi: 10.3879/j.issn.1000-0887.2012.02.004

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(19990328);国家攻关资助项目(20050200069);国家自然科学基金资助项目(10771124;10372052;11101244);教育部博士点基金资助项目(20030422047);山东省自然科学基金资助项目(ZR2009AQ012)

详细信息

通讯作者:
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);李长峰(1977—),男,山东人,副教授,博士(E-mail: cfli@sdu.edu.cn).

中图分类号: O241.82
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出版历程
- 收稿日期: 2011-01-04
- 修回日期: 2011-11-23
- 刊出日期: 2012-02-15

Modified Characteristic Finite Difference Fractional Steps Method for Moving Boundary Value Problem of Percolation Coupled System

¹Institute of Mathematics, Shandong University, Jinan 250100, P.R.China;²School of Economics, Shandong University, Jinan 250100, P.R.China

摘要

摘要: 对多层渗流方程耦合系统动边值问题,提出适合并行计算的一类特征分数步差分格式,利用区域变换、变分形式、粗细网格配套、乘积型叁二次插值、差分算子乘积交换性、高阶差分算子的分解、先验估计的理论和技巧，得到收敛性的最佳阶l²误差估计．该方法已成功地应用到多层油资源运移聚集的资源评估生产实际中,得到了很好的数值模拟结果．
- 多层渗流耦合 /
- 动边界 /
- 特征分数步差分 /
- 最佳阶误差估计 /
- 能源数值模拟
Abstract: For coupled system with moving boundary values of multilayer dynamics of fluids in porous media,a kind of characteristic finite difference fractional steps scheme applicable to parallel arithmetic were put forward. Some techniques, such as the change of regions, calculus of variations, piecewise threefold quadratic interpolation, multiplicative commutation rule of difference operators, decomposition of high order difference operators and prior estimates, were adopted. Optimal order estimates in l²norm are derived to determine the error in the approximate solution. This method has already been applied to the numerical simulation of migrationaccumulation of oil resources.
- multilayer percolation coupled system /
- moving boundary values /
- characteristic fractional finite difference /
- optimal order error estimates /
- numerical simulation of energy resources

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参考文献(25)

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渗流耦合系统动边值问题特征分数步差分方法

doi: 10.3879/j.issn.1000-0887.2012.02.004

通讯作者:
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);李长峰(1977—),男,山东人,副教授,博士(E-mail: cfli@sdu.edu.cn).

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Modified Characteristic Finite Difference Fractional Steps Method for Moving Boundary Value Problem of Percolation Coupled System

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留言板

渗流耦合系统动边值问题特征分数步差分方法

doi: 10.3879/j.issn.1000-0887.2012.02.004

通讯作者: 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);李长峰(1977—),男,山东人,副教授,博士(E-mail: cfli@sdu.edu.cn).

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出版历程

Modified Characteristic Finite Difference Fractional Steps Method for Moving Boundary Value Problem of Percolation Coupled System

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出版历程

目录

通讯作者:
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);李长峰(1977—),男,山东人,副教授,博士(E-mail: cfli@sdu.edu.cn).