基于余维裂缝多孔介质渗流的差分多重网格法  

Finite difference coupling with multigrid methods for fluid flow in codimensional fractured porous media

作　　者：向远强 范小林 邹志涵 XIANG Yuanqiang;FAN Xiaolin;ZOU Zhihan(School of Mathematics Science,Guizhou Normal University,Guiyang,Guizhou 550025,China)

机构地区：[1]贵州师范大学数学科学学院,贵州贵阳550025

出　　处：《贵州师范大学学报（自然科学版）》2024年第2期91-99,共9页Journal of Guizhou Normal University：Natural Sciences

基　　金：国家自然科学基金(12061024);贵州省教育厅自然科学研究资助项目(黔教合KY字[2021]304)。

摘　　要：研究了余维(又称为降维)裂缝多孔介质中不可压单相流体渗流问题的一种有效数值求解方法。结合多重网格法和块中心有限差分法的优点,给出了一种块中心有限差分多重网格法求解裂缝多孔介质渗流问题,通过该方法提高了计算效率。经过数值实验,验证了该方法的有效性。An effective numerical method for incompressible single-phase fluid flow in fractured porous media described by reduced discrete fracture model is studied in this manuscript.Combining the advantages of the multi-grid method and the block-centered finite difference methods,a block-centered finite difference multi-grid method is proposed to solve the derived reduced fracture model.Compared with the traditional iterative method,this method has great advantages in improving the computational efficiency.Finally,the effectiveness and stability of the proposed method are verified by numerical experiments.

关 键 词：余维裂缝 多孔介质 多重网格 块中心有限差分 

分 类 号：O242[理学—计算数学]