基于多孔介质渗流模型的多重网格算法的数值模拟  

Numerical Simulation of Multi-grid Algorithm Based on Porous Media Seepage Model

作　　者：向远强 李毓静 文学春 XIANG Yuanqiang;LI Yujing;WEN Xuechun(School of Mathematical Sciences,Guizhou Normal University,Guiyang 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：《新乡学院学报》2023年第3期7-13,共7页Journal of Xinxiang University

摘　　要：研究了一种有效的多孔介质渗流模型的数值解法。针对不可压缩单项流体渗流问题,用块中心差分法对其模型方程进行了离散。对边界条件进行处理以后,用多重网格方法对离散后的模型进行了求解。数值模拟结果表明,该方法能提高计算效率,收敛性不受网格尺度影响。A numerical method of porous media seepage model is studied.For the problem of incompressible single fluid seepage,the block center difference method is used to discrete the model equations.After the boundary conditions are treated,the discrete model is solved by multi-grid algorithm.The numerical simulation results show that this method can improve the computational efficiency and the convergence is not affected by the grid scale.

关 键 词：多孔介质渗流模型 块中心差分 多重网格方法 数值模拟 

分 类 号：O242[理学—计算数学]