A high order hybridizable discontinuous Galerkin method for incompressible miscible displacement in heterogeneous media
A high order hybridizable discontinuous Galerkin method for incompressible miscible displacement in heterogeneous media
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DOI：
10.1016/j.rinam.2019.100089
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发表时间：
2020-11-01
影响因子：
2
通讯作者：
Riviere, Beatrice
中科院分区：
文献类型：
--
作者：
Fabien, Maurice S.;Knepley, Matthew;Riviere, Beatrice
提出了一种求解多孔介质中可混溶驱动问题的任意高阶杂交间断Galerkin方法。空间离散化相结合的顺序算法，使流量和输运方程。杂交产生一个线性系统的全球耦合自由度，这是较小的尺寸相比，从内部惩罚间断Galerkin方法产生的系统。我们研究了增加多项式阶数对解的精度的影响。数值实验表明，该方法的最佳收敛性，它是强大的高度非均匀的多孔介质中的二维和三维。(C)2020作者（S）由爱思唯尔公司出版
An hybridizable discontinuous Galerkin method of arbitrary high order is formulated to solve the miscible displacement problem in porous media. The spatial discretization is combined with a sequential algorithm that decouples the flow and the transport equations. Hybridization produces a linear system for the globally coupled degrees of freedom, that is smaller in size compared to the system resulting from the interior penalty discontinuous Galerkin methods. We study the impact of increasing the polynomial order on the accuracy of the solution. Numerical experiments show that the method converges optimally and that it is robust for highly heterogeneous porous media in two and three dimensions. (C) 2020 The Author(s). Published by Elsevier B.V.