Discontinuous finite volume methods for the stationary Stokes-Darcy problem
Discontinuous finite volume methods for the stationary Stokes-Darcy problem
复制标题
稳态 Stokes-Darcy 问题的不连续有限体积法
DOI：
10.1002/nme.5171
复制
发表时间：
2016
影响因子：
2.9
通讯作者：
Li Rui
中科院分区：
文献类型：
--
作者：
Wang Gang;He Yinnian;Li Rui
在这篇文章中，我们分析了稳态Stokes-Darcy问题的间断有限体积方法，该问题模拟了流体流动和多孔介质流动的耦合。间断有限体积法是有限体积法和间断伽辽金方法的组合，具有三种内部惩罚类型(不完全对称、非对称和对称)，简而言之，在有限体积法中使用间断函数作为试函数。得到了三种不连续有限体积法在BrokenH1范数下的最优误差估计。给出了对称内罚间断有限体积法在标准L2范数下的最优误差估计。数值实验验证了在Stokes区和Darcy区公共界面上采用非匹配网格时的理论结果。版权所有©2015 John Wiley&Sons，Ltd.
In this paper, we analyze discontinuous finite volume methods for the stationary Stokes–Darcy problem that models coupled fluid flow and porous media flow. The discontinuous finite volume methods are combinations of finite volume method and discontinuous Galerkin method with three interior penalty types (incomplete symmetric, nonsymmetric, and symmetric), briefly, using discontinuous functions as trial functions in the finite volume method. Optimal error estimates in brokenH1norm are obtained for the three discontinuous finite volume methods. Optimal error estimates in the standardL2norm are derived for the symmetric interior penalty discontinuous finite volume method. Numerical experiments are presented to confirm the theoretical results with non‐matching meshes across the common interface of Stokes region and Darcy region. Copyright © 2015 John Wiley & Sons, Ltd.