An improved MLS-based numerical manifold method for saturated-unsaturated seepage in porous media

IF 4.2 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Engineering Analysis with Boundary Elements Pub Date : 2025-05-14 DOI:10.1016/j.enganabound.2025.106299

Yuanqiang Chen , Cheng Liu , Hong Zheng , Xiaocheng Huang , Shunkai Liu , Jian Peng

引用次数: 0

Abstract

The moving least squares (MLS) based numerical manifold method (abbreviated as MLS-NMM) inherits the individual merits of MLS and NMM, which not only gets rid of the shackles of meshes but also can unitedly solve both continuity and discontinuity problems. This paper presents an improved MLS-NMM model for saturated-unsaturated seepage in both homogeneous and heterogeneous porous media. In the improved model, the innovative node arrangement scheme and background grid generation strategy are introduced, which can effectively enhance the interpolation accuracy. Five examples are employed to confirm the capability and accuracy of the improved MLS-NMM model. Numerical results manifest that the proposed model can serve as a reliable reference tool for saturated-unsaturated seepage analysis in engineering applications.

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基于改进mls的多孔介质饱和-非饱和渗流数值流形方法

基于移动最小二乘（MLS）的数值流形方法（简称MLS-NMM）继承了MLS和NMM的各自优点，不仅摆脱了网格的束缚，而且可以统一解决连续和不连续问题。本文提出了一种适用于均质和非均质多孔介质饱和-非饱和渗流的改进MLS-NMM模型。在改进模型中，引入了创新的节点布置方案和背景网格生成策略，有效地提高了插值精度。通过5个算例验证了改进的MLS-NMM模型的能力和准确性。数值结果表明，该模型可作为工程应用中饱和-非饱和渗流分析的可靠参考工具。

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

Engineering Analysis with Boundary Elements 工程技术-工程：综合

CiteScore

5.50

自引率

18.20%

发文量

368

审稿时长

56 days

期刊介绍： This journal is specifically dedicated to the dissemination of the latest developments of new engineering analysis techniques using boundary elements and other mesh reduction methods. Boundary element (BEM) and mesh reduction methods (MRM) are very active areas of research with the techniques being applied to solve increasingly complex problems. The journal stresses the importance of these applications as well as their computational aspects, reliability and robustness. The main criteria for publication will be the originality of the work being reported, its potential usefulness and applications of the methods to new fields. In addition to regular issues, the journal publishes a series of special issues dealing with specific areas of current research. The journal has, for many years, provided a channel of communication between academics and industrial researchers working in mesh reduction methods Fields Covered: • Boundary Element Methods (BEM) • Mesh Reduction Methods (MRM) • Meshless Methods • Integral Equations • Applications of BEM/MRM in Engineering • Numerical Methods related to BEM/MRM • Computational Techniques • Combination of Different Methods • Advanced Formulations.