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格式的比较 显示英文标题

标题： Comparison of cell- and vertex-centered finite-volume schemes for flow in fractured porous media

摘要： 在各种地质工程技术应用中，裂隙多孔介质中的流动具有重要意义，因为它们在自然界中普遍存在，并且可能对岩石的水力特性产生显著影响。 作为对此的回应，过去几十年来，一个活跃的研究领域已经发展起来，专注于开发数学模型和数值方法，以描述和模拟裂隙岩石中的流动过程。 在本工作中，我们通过数值实验比较了不同基于有限体积的数值方案在裂隙多孔介质流动模拟中的表现。 本文介绍了两种新的基于顶点的方案，并与文献中基准研究的成熟数值方案在收敛行为和性能方面进行了比较。 新方案显示出与现有方法结果良好一致，同时在非结构化单形网格上计算成本更低。 显示英文摘要

摘要： 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, focussing 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 behaviour 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 being computationally less expensive on unstructured simplex grids.