陈艳萍, 胡汉章. 渗流驱动问题的两层网格算法[J]. 华南师范大学学报(自然科学版), 2018, 50(5): 98-105. doi: 10.6054/j.jscnun.2018104
引用本文: 陈艳萍, 胡汉章. 渗流驱动问题的两层网格算法[J]. 华南师范大学学报(自然科学版), 2018, 50(5): 98-105. doi: 10.6054/j.jscnun.2018104
CHEN Yanping, HU Hanzhang. The Two-Grid Algorithm of the Miscible Displacement Problem[J]. Journal of South China Normal University (Natural Science Edition), 2018, 50(5): 98-105. doi: 10.6054/j.jscnun.2018104
Citation: CHEN Yanping, HU Hanzhang. The Two-Grid Algorithm of the Miscible Displacement Problem[J]. Journal of South China Normal University (Natural Science Edition), 2018, 50(5): 98-105. doi: 10.6054/j.jscnun.2018104

渗流驱动问题的两层网格算法

The Two-Grid Algorithm of the Miscible Displacement Problem

  • 摘要: 综述了渗流驱动问题的两层网格算法: 介绍了不可压缩的渗流驱动问题的特征有限元、 特征混合有限元和特征扩张混合有限元两层网格算法; 讨论可压缩的渗流驱动问题的特征有限元两层网格算法; 通过数值例子验证了两层网格算法的有效性; 讨论了渗流驱动问题的两层网格算法进一步的研究的方向.

     

    Abstract: Two-grid algorithm of miscible displacement problem is reviewed. Firstly, the characteristic finite element method, the characteristic mixed finite element method and the characteristic expansion mixed finite element two-grid algorithm for the incompressible miscible displacement problem are presented. Then, the characteristic finite element two-grid algorithm for the compressible miscible displacement problem is discussed. Numerical examples are given to illustrate the effectiveness of the two-grid algorithm. Finally, the direction of further research on the two-grid algorithm for miscible displacement problem is discussed.

     

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