Adaptive Mesh Refinement Based on Finite Analytical Method for Two-Dimensional Flow in Heterogeneous Porous Media

IF 3.4 2区工程技术 Q2 ENGINEERING, GEOLOGICAL

International Journal for Numerical and Analytical Methods in Geomechanics Pub Date : 2024-11-22 DOI:10.1002/nag.3895

Chang-Hao Xiao, Jin-Biao Yu, Wei-Dong Cao, Yong Wang, Xiao-Hong Wang, Zhi-Feng Liu, Min Wang

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引用次数: 0

Abstract

In this work, we improve the traditional adaptive mesh refinement (AMR) by combining it with the finite analytical method (FAM) to solve the multiphase flow in heterogeneous porous media numerically. The FAM can provide rather accurate internodal transmissibility, and it is employed to improve the accuracy of coarsening and refining processes in AMR. The high performance of the proposed AMR-FAM is indicated through numerical tests for solving the two-phase flow in 2D heterogeneous media. The numerical simulation results indicate that the proposed AMR-FAM is more accurate than the traditional AMR-FAM. Compared with the simulation in the original fine grids, the proposed AMR-FAM can provide nearly the same results. Moreover, the computational cost in the AMR grids is only approximately one-third of the cost in the original fine grids according to our numerical tests.

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基于有限分析法的自适应网格细化技术用于异质多孔介质中的二维流动

在这项工作中，我们改进了传统的自适应网格细化（AMR），将其与有限解析法（FAM）相结合，对异质多孔介质中的多相流进行数值求解。FAM 可以提供相当精确的节间透射率，并用于提高 AMR 中粗化和细化过程的精度。通过求解二维异质介质中两相流的数值试验，证明了所提出的 AMR-FAM 的高性能。数值模拟结果表明，所提出的 AMR-FAM 比传统 AMR-FAM 更精确。与原始细网格模拟相比，所提出的 AMR-FAM 可以提供几乎相同的结果。此外，根据我们的数值测试，AMR 网格的计算成本仅为原始细网格的约三分之一。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

International Journal for Numerical and Analytical Methods in Geomechanics 工程技术-材料科学：综合

CiteScore

6.40

自引率

12.50%

发文量

160

审稿时长

9 months

期刊介绍： The journal welcomes manuscripts that substantially contribute to the understanding of the complex mechanical behaviour of geomaterials (soils, rocks, concrete, ice, snow, and powders), through innovative experimental techniques, and/or through the development of novel numerical or hybrid experimental/numerical modelling concepts in geomechanics. Topics of interest include instabilities and localization, interface and surface phenomena, fracture and failure, multi-physics and other time-dependent phenomena, micromechanics and multi-scale methods, and inverse analysis and stochastic methods. Papers related to energy and environmental issues are particularly welcome. The illustration of the proposed methods and techniques to engineering problems is encouraged. However, manuscripts dealing with applications of existing methods, or proposing incremental improvements to existing methods – in particular marginal extensions of existing analytical solutions or numerical methods – will not be considered for review.