论文标题
在裂缝多孔介质中流量的细胞和中心有限体积方案的比较
Comparison of cell- and vertex-centered finite-volume schemes for flow in fractured porous media
论文作者
论文摘要
鉴于它们在自然界中出现并可能对岩石的液压特性产生重大影响，因此断裂的多孔培养基中的流动在多种岩土技术中具有很高的相关性。作为对此的回应，在过去的几十年中，积极的研究领域已经发展出来，重点关注数学模型和数值方法的发展，以描述和模拟断裂的岩石中的流动过程。在这项工作中，我们介绍了通过数值实验对不同的多孔培养基中流量模拟的不同数值数值方案的比较。在收敛行为及其在文献中获得的基准研究中，提出了两种新颖的以顶点为中心的方法，并将其与已建立的数值方案进行了比较。新方案显示，产生与已建立方法的结果，同时在非结构化的单纯形网格上计算便宜的结果。
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.
