Block preconditioners for mixed-dimensional discretization of flow in fractured porous media
Block preconditioners for mixed-dimensional discretization of flow in fractured porous media
复制标题
用于裂缝多孔介质中流动混合维离散化的块预处理器
DOI：
10.1007/s10596-020-09984-z
复制
发表时间：
2019
影响因子：
2.5
通讯作者：
Xiaozhe Hu
中科院分区：
文献类型：
--
作者：
Ana Budiša;Xiaozhe Hu
在本文中，我们感兴趣的是一种有效的数值方法，用于混合维方法来模拟裂缝多孔介质中的单相流动。该模型将裂缝及其交点作为低维结构引入，砂浆变量用于基质与裂缝之间的流动耦合。考虑该问题的稳定混合有限元离散化，得到一个参数相关的线性系统。为此，我们基于离散化选择的适定性，开发了块预调节器。预条件迭代法对离散化和物理参数具有鲁棒性。通过实例对分析结果进行了验证，在减少迭代次数和计算时间方面取得了显著效果。
In this paper, we are interested in an efficient numerical method for the mixed-dimensional approach to modeling single-phase flow in fractured porous media. The model introduces fractures and their intersections as lower-dimensional structures, and the mortar variable is used for flow coupling between the matrix and fractures. We consider a stable mixed finite element discretization of the problem, which results in a parameter-dependent linear system. For this, we develop block preconditioners based on the well-posedness of the discretization choice. The preconditioned iterative method demonstrates robustness with regard to discretization and physical parameters. The analytical results are verified on several examples of fracture network configurations, and notable results in reduction of number of iterations and computational time are obtained.
用于多孔弹性方程新稳定离散化的鲁棒预条件子
影响因子：
3.1
作者：
Adler, J. H.;Gaspar, F. J.;Hu, X.;Ohm, P.;Rodrigo, C.;Zikatanov, L. T.
通讯作者：
Zikatanov, L. T.