摘要
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方向.
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 pro-blem 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.
作者
陈艳萍
胡汉章
CHEN Yanping;HU Hanzhang(School of Mathematical Sciences, South China Normal University,Guangzhou 510631, China;School of Mathematics, Jiaying University, Meizhou 514015, China)
出处
《华南师范大学学报（自然科学版）》
CAS
北大核心
2018年第5期98-105,共8页
Journal of South China Normal University(Natural Science Edition)
基金
国家自然科学基金项目(11671157)
关键词
非线性渗流耦合问题
特征有限元
混合有限元
两层网格算法
nonlinear coupled miscible displacement problem
characteristic finite element method
characteristic mixed finite element method
two-grid algorithm
