Numerical Strategy on the Grid Orientation Effect in the Simulation for Two‐Phase Flow in Porous Media by Using the Adaptive Artificial Viscosity Method

IF 3.4 2区工程技术 Q2 ENGINEERING, GEOLOGICAL

International Journal for Numerical and Analytical Methods in Geomechanics Pub Date : 2024-11-08 DOI:10.1002/nag.3886

Xiao‐Hong Wang, Meng‐Chen Yue, Zhi‐Feng Liu, Wei‐Dong Cao, Yong Wang, Jun Hu, Chang‐Hao Xiao, Yao‐Yong Li

引用次数: 0

Abstract

In the context of numerical simulators for multiphase flow in porous media, there exists a long‐standing issue known as the grid orientation effect (GOE), wherein different numerical solutions can be obtained when considering grids with different orientations under certain unfavorable conditions. The GOE is relevant to the instability near displacement fronts. If numerical oscillations accompanied by sharp fronts are not adequately suppressed, the GOE occurs. To reduce or even eliminate the GOE, we propose augmenting adaptive artificial viscosity in the process of solving the saturation equation. It has been demonstrated that appropriate artificial viscosity can effectively reduce or even eliminate the GOE. The proposed numerical method can be easily applied in practical engineering problems.

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利用自适应人工粘度法模拟多孔介质中两相流的网格方向效应的数值策略

在多孔介质中多相流的数值模拟器中，存在一个长期存在的问题，即网格方向效应（GOE），在某些不利条件下，考虑不同方向的网格时，会得到不同的数值解。GOE 与位移前沿附近的不稳定性有关。如果没有充分抑制伴随尖锐前沿的数值振荡，就会出现 GOE。为了减少甚至消除 GOE，我们建议在求解饱和方程的过程中增加自适应人工粘度。实验证明，适当的人工粘度可以有效减少甚至消除 GOE。所提出的数值方法可轻松应用于实际工程问题。

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.