摘要
本文研究耦合Navier-Stokes/Darcy模型问题.构造一种从粗网格到细网格的有限元空间插值方法,不但简化了数值积分的单元匹配,也保证了数值积分的精度.利用基于有限元空间的多重网格方法,获得与直接法求解耦合问题误差相同的收敛阶,推广两重网格方法的结果.
In this paper,we introduce and analyze numerical methods for a coupled Navier-Stokes/Darcy model which describes a fluid flow filtrating through porous media.Based on the decoupled two-gird algorithm,we discuss the numerical implementation with the MINI elements in the triangulation and with the Q2-Q1 elements in the quadrangulation,respectively.Moreover,the corresponding multi-grid algorithm is also proposed and the error produced in the computation is given.Numerical experiments show the efficiency of the algorithm for solving the coupled problem.
出处
《应用数学》
CSCD
北大核心
2016年第2期457-468,共12页
Mathematica Applicata
基金
Supported by the National Foundation of Natural Science(11471092)
the Natural Science Foundation of Zhejiang Province(LZ13A010003)
