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.

裂缝性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无处不在，并且它们可以对岩石的水力特性产生重大影响。作为对此的回应，在过去的几十年里，一个活跃的研究领域得到了发展，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，我们通过数值实验比较了不同的基于有限体积的数值方案，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。