Numerical scheme for solving the soil-water coupling problems based on finite volume method with unstructured mesh

IF 3.1 3区计算机科学 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Journal of Computational Science Pub Date : 2025-02-01 DOI:10.1016/j.jocs.2025.102526

Xiaohui Su , Mingliang Zhang , Degao Zou , Yong Zhao , Jiantao Zhang , Haoyang Su

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引用次数: 0

Abstract

In this paper, a novel matrix-free finite volume (FV) numerical scheme with unstructured mesh is proposed for simulating unsaturated seepage-stress coupling problems in earth science. The proposed model solves Richards Equation (RE) for unsteady unsaturated infiltration flow and Cauchy Equation (CE) for soil dynamics. A universal finite volume (FV) numerical scheme is developed for solving the governing equations mentioned above with unstructured mesh. The techniques of matrix-free and fully implicit time stepping algorithm are utilized in the numerical discretization in order to avoiding for the calculation and storage of large matrices. The new model is assessed and evaluated by benchmarks and test infiltration cases. Comparing with the solutions of commercial software packages called GEO-Studio and AutoBANK, the accuracy of the proposed model is assessed and verified. A slope infiltration simulation case is carried out as the engineering application of the current model at last. With the advantage of novel numerical scheme and high accuracy, the proposed model shows its potential value in engineering application.

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基于非结构网格有限体积法求解土-水耦合问题的数值格式

本文提出了一种新的非结构网格无矩阵有限体积（FV）数值格式，用于模拟地学中非饱和渗流-应力耦合问题。该模型求解非定常非饱和入渗流的Richards方程（RE）和土壤动力学的Cauchy方程（CE）。本文提出了用非结构网格求解上述控制方程的通用有限体积数值格式。在数值离散化中采用无矩阵技术和全隐式时间步进算法，避免了大矩阵的计算和存储。通过基准测试和测试渗透案例对新模型进行了评估和评价。通过与GEO-Studio和AutoBANK等商业软件包的解决方案进行比较，对所提模型的准确性进行了评估和验证。最后以一个边坡入渗模拟实例作为该模型的工程应用。该模型具有数值格式新颖、精度高的优点，具有潜在的工程应用价值。

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

Journal of Computational Science COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS-COMPUTER SCIENCE, THEORY & METHODS

CiteScore

5.50

自引率

3.00%

发文量

227

审稿时长

41 days

期刊介绍： Computational Science is a rapidly growing multi- and interdisciplinary field that uses advanced computing and data analysis to understand and solve complex problems. It has reached a level of predictive capability that now firmly complements the traditional pillars of experimentation and theory. The recent advances in experimental techniques such as detectors, on-line sensor networks and high-resolution imaging techniques, have opened up new windows into physical and biological processes at many levels of detail. The resulting data explosion allows for detailed data driven modeling and simulation. This new discipline in science combines computational thinking, modern computational methods, devices and collateral technologies to address problems far beyond the scope of traditional numerical methods. Computational science typically unifies three distinct elements: • Modeling, Algorithms and Simulations (e.g. numerical and non-numerical, discrete and continuous); • Software developed to solve science (e.g., biological, physical, and social), engineering, medicine, and humanities problems; • Computer and information science that develops and optimizes the advanced system hardware, software, networking, and data management components (e.g. problem solving environments).