Comparison of cell- and vertex-centered finite-volume schemes for flow in fractured porous media
Comparison of cell- and vertex-centered finite-volume schemes for flow in fractured porous media
复制标题
裂缝多孔介质中流动的单元中心和顶点中心有限体积方案的比较
DOI：
10.1016/j.jcp.2021.110715
复制
发表时间：
2020
期刊：
影响因子：
--
通讯作者：
R. Helmig
中科院分区：
文献类型：
--
作者：
D. Gläser;M. Schneider;B. Flemisch;R. Helmig
裂隙多孔介质中的流动在各种岩土工程应用中具有高度相关性，因为它们在自然界中普遍存在，并且会对岩石的水力特性产生重大影响。作为对此的回应，过去几十年发展了一个活跃的研究领域，重点是开发数学模型和数值方法来描述和模拟裂隙岩石中的流动过程。在这项工作中，我们通过数值实验对不同的基于有限体积的数值方案进行了比较，用于模拟裂缝多孔介质中的流动。提出了两种新颖的以顶点为中心的方法，并在收敛行为及其在文献基准研究中的性能方面与成熟的数值方案进行了比较。新方案显示产生的结果与现有方法的结果非常一致，同时导致非结构化单纯形网格的自由度较小。
Flow in fractured porous media is of high relevance in a variety of geotechnical applications, given the fact that they ubiquitously occur in nature and that they can have a substantial impact on the hydraulic properties of rock. As a response to this, an active field of research has developed over the past decades, focusing on the development of mathematical models and numerical methods to describe and simulate the flow processes in fractured rock. In this work, we present a comparison of different finite volume-based numerical schemes for the simulation of flow in fractured porous media by means of numerical experiments. Two novel vertex-centered approaches are presented and compared to well-established numerical schemes in terms of convergence behavior and their performance on benchmark studies taken from the literature. The new schemes show to produce results that are in good agreement with those of established methods while leading to less degrees of freedom on unstructured simplex grids.
DOI：
10.1016/j.cma.2020.113124
发表时间：
2020-08
影响因子：
7.2
作者：
M. Wheeler;T. Wick;Sanghyu Lee
通讯作者：
M. Wheeler;T. Wick;Sanghyu Lee
影响因子：
4.7
作者：
T. Kadeethum;H. Nick;Sanghyu Lee;F. Ballarin
通讯作者：
T. Kadeethum;H. Nick;Sanghyu Lee;F. Ballarin
模拟多孔介质中自然裂缝和两相流体填充裂缝扩展的相互作用
影响因子：
2.5
作者：
Lee, Sanghyun;Wheeler, Mary F.
通讯作者：
Wheeler, Mary F.