A two-grid method with backtracking for the mixedNavier-Stokes/Darcy model
A two-grid method with backtracking for the mixedNavier-Stokes/Darcy model
复制标题
纳维-斯托克斯/达西混合模型的双网格回溯法
DOI：
10.1002/num.22493
复制
发表时间：
2020
影响因子：
3.9
通讯作者：
Zhang Yuhong
中科院分区：
文献类型：
--
作者：
Du Guangzhi;Li Qingtao;Zhang Yuhong
在本文中，我们考虑了在混合Navier-Stokes/Darcy模型的两网格算法中添加粗网格校正的效果。该方法给出了L2和H1最优流速和测压头近似值以及L2最优压力近似值。该方法包括求解一个小的，耦合的，非线性的粗网格问题，两个独立的子问题（线性Navier-Stokes方程和达西方程）的细网格，和一个校正问题的粗网格。理论分析和数值试验表明了该方法的有效性。
In this paper, we consider the effect of adding a coarse mesh correction to the two‐grid algorithm for the mixed Navier–Stokes/Darcy model. The method yields bothL2andH1optimal velocity and piezometric head approximations and anL2optimal pressure approximation. The method involves solving one small, coupled, nonlinear coarse mesh problem, two independent subproblems (linear Navier–Stokes equation and Darcy equation) on the fine mesh, and a correction problem on the coarse mesh. Theoretical analysis and numerical tests are done to indicate the significance of this method.