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三维非线性对流扩散问题的数值方法在渗流力学的应用

袁益让 杜宁 王文洽 程爱杰 韩玉笈

袁益让, 杜宁, 王文洽, 程爱杰, 韩玉笈. 三维非线性对流扩散问题的数值方法在渗流力学的应用[J]. 应用数学和力学, 2006, 27(5): 605-614.
引用本文: 袁益让, 杜宁, 王文洽, 程爱杰, 韩玉笈. 三维非线性对流扩散问题的数值方法在渗流力学的应用[J]. 应用数学和力学, 2006, 27(5): 605-614.
YUAN Yi-rang, DU Ning, WANG Wen-qia, CHENG Ai-jie, HAN Yu-ji. Numerical Method for the Three-Dimensional Nonlinear Convection-Dominated Problem of Dynamics of Fluids in Porous Media[J]. Applied Mathematics and Mechanics, 2006, 27(5): 605-614.
Citation: YUAN Yi-rang, DU Ning, WANG Wen-qia, CHENG Ai-jie, HAN Yu-ji. Numerical Method for the Three-Dimensional Nonlinear Convection-Dominated Problem of Dynamics of Fluids in Porous Media[J]. Applied Mathematics and Mechanics, 2006, 27(5): 605-614.

三维非线性对流扩散问题的数值方法在渗流力学的应用

基金项目: 国家自然科学基金资助项目(10370252;10271066);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,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

Numerical Method for the Three-Dimensional Nonlinear Convection-Dominated Problem of Dynamics of Fluids in Porous Media

  • 摘要: 对三维非线性对流扩散问题提出一类适合并行计算的二阶迎风分数步差分格式,采用分数步技术,将三维问题化为连续解3个一维问题计算.利用变分形式、能量方法、差分算子乘积交换性、高阶差分算子的分解、微分方程先验估计的理论和技巧,得到收敛性的最佳阶的误差估计.该方法已成功的应用油资源运移聚集渗流力学数值模拟计算、海水入侵预测和防治的工程实践中.
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出版历程
  • 收稿日期:  2004-10-18
  • 修回日期:  2006-01-18
  • 刊出日期:  2006-05-15

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