The Novel High-Order Updated-Lagrangian Nonlocal General Particle Dynamics for Transient Anisotropic Seepage Problems in Unsaturated Porous Media

IF 2.9 3区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

International Journal for Numerical Methods in Engineering Pub Date : 2025-08-05 DOI:10.1002/nme.70091

Peng Yin, Xiao-Ping Zhou

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Abstract

In this paper, the novel high-order updated Lagrangian nonlocal general particle dynamics (UL-NGPD) is first proposed to solve anisotropic transient seepage flow problems, in which the novel high-order spatially nonlocal operators are first established to obtain accurate second-order nonlocal differential derivatives. The novel high-order UL-NGPD formulation and its corresponding numerical implementations of boundary conditions and time integration for seepage problems are established, which are capable of automatically capturing seepage surfaces without extra treatments and consider the complete time-dependent transition from unsaturated to saturated states. The capabilities of the proposed high-order UL-NGPD method in solving the complex seepage flow problems are verified by several examples. The numerical results are in good agreement with theoretical solutions. This indicates that the newly proposed high-order UL-NGPD method is powerful and suitable for solving complex transient seepage flow problems, which marks a significant milestone for its future application to solving fully coupled flow deformation problems involving large deformation and failure of porous media.

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非饱和多孔介质瞬态各向异性渗流问题的新型高阶更新拉格朗日非局部一般粒子动力学

本文首次提出了求解各向异性瞬态渗流问题的新型高阶更新拉格朗日非局部一般粒子动力学（UL-NGPD），其中首先建立了新的高阶空间非局部算子，以获得精确的二阶非局部微分导数。建立了新的高阶UL-NGPD公式及其相应的渗流问题边界条件和时间积分的数值实现，该公式能够自动捕获渗流面而无需额外处理，并考虑了从非饱和状态到饱和状态的完全随时间变化的过渡。通过算例验证了所提出的高阶UL-NGPD方法求解复杂渗流问题的能力。数值结果与理论解吻合较好。这表明新提出的高阶UL-NGPD方法功能强大，适用于求解复杂的瞬态渗流问题，为其未来应用于求解大变形破坏的多孔介质全耦合流动变形问题具有重要的里程碑意义。

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 Methods in Engineering 工程技术-工程：综合

CiteScore

5.70

自引率

6.90%

发文量

276

审稿时长

5.3 months

期刊介绍： The International Journal for Numerical Methods in Engineering publishes original papers describing significant, novel developments in numerical methods that are applicable to engineering problems. The Journal is known for welcoming contributions in a wide range of areas in computational engineering, including computational issues in model reduction, uncertainty quantification, verification and validation, inverse analysis and stochastic methods, optimisation, element technology, solution techniques and parallel computing, damage and fracture, mechanics at micro and nano-scales, low-speed fluid dynamics, fluid-structure interaction, electromagnetics, coupled diffusion phenomena, and error estimation and mesh generation. It is emphasized that this is by no means an exhaustive list, and particularly papers on multi-scale, multi-physics or multi-disciplinary problems, and on new, emerging topics are welcome.