Modeling variably saturated flows in porous media using the numerical manifold method

IF 4.2 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY Engineering Analysis with Boundary Elements Pub Date : 2024-10-28 DOI:10.1016/j.enganabound.2024.106016

Yuanqiang Chen , Hong Zheng , Xiaocheng Huang , Shunkai Liu

引用次数: 0

Abstract

Robust and reliable numerical models are vital to solve the Richards’ equation, which depicts the variably saturated flows in porous media. In this study, the Richards’ equation is discretized spatially with the numerical manifold method (NMM) and temporally with the backward Euler scheme, in which the under-relaxation and mass lumping techniques are introduced to keep the numerical stability and mass balance. Several examples are performed to validate the correctness and accuracy of the proposed model. The numerical results demonstrate the potential applicability of the proposed model to solve saturated-unsaturated seepage problems.

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利用数值流形法模拟多孔介质中的可变饱和流动

稳健可靠的数值模型对于求解描述多孔介质中可变饱和流动的理查兹方程至关重要。本研究采用数值流形法（NMM）对理查兹方程进行空间离散化，并采用后向欧拉方案对其进行时间离散化，其中引入了欠松弛和质量块技术，以保持数值稳定性和质量平衡。通过几个实例验证了所提模型的正确性和准确性。数值结果证明了所提模型在解决饱和-非饱和渗流问题上的潜在适用性。

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.