A two-way coupling 2D-3D hybrid finite element numerical model using overlapping method for tsunami simulation

IF 1.7 4区工程技术 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

International Journal for Numerical Methods in Fluids Pub Date : 2023-06-26 DOI:10.1002/fld.5220

Guoming Ling, Junichi Matsumoto, Kazuo Kashiyama

引用次数: 0

Abstract

This paper describes a 2D-3D hybrid model for tsunami simulations that uses an overlapping method based on an arbitrary grid. A 2D model is used to simulate wave propagation from the source area to the offshore area, and a 3D model is then used to simulate the free surface flow around structures in coastal areas. An overlapping method that satisfies the conservation and compatibility conditions is developed to couple the two models. The shallow water equations are applied for the 2D model, and the Navier-Stokes equations and continuity equations are applied for the flow field of the 3D model. The Allen-Cahn equation is applied for the interface-capturing method of the 3D model. The stabilized finite element method is applied for the spatial discretization and the Crank-Nicolson method is used for the temporal discretization of the governing equations. The model is verified and validated through several numerical analysis examples.

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基于重叠法的二维-三维混合有限元模型在海啸模拟中的应用

本文描述了一种用于海啸模拟的2D‐3D混合模型，该模型使用了基于任意网格的重叠方法。二维模型用于模拟波浪从震源区到近海的传播，然后三维模型用于模拟沿海地区结构周围的自由表面流动。提出了一种满足守恒和相容条件的重叠方法来耦合这两个模型。浅水方程应用于2D模型，Navier-Stokes方程和连续性方程应用于3D模型的流场。Allen‐Cahn方程应用于3D模型的界面捕捉方法。稳定有限元方法用于空间离散化，Crank‐Nicolson方法用于控制方程的时间离散化。通过几个数值分析实例对该模型进行了验证。

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 Fluids 物理-计算机：跨学科应用

CiteScore

3.70

自引率

5.60%

发文量

111

审稿时长

8 months

期刊介绍： The International Journal for Numerical Methods in Fluids publishes refereed papers describing significant developments in computational methods that are applicable to scientific and engineering problems in fluid mechanics, fluid dynamics, micro and bio fluidics, and fluid-structure interaction. Numerical methods for solving ancillary equations, such as transport and advection and diffusion, are also relevant. The Editors encourage contributions in the areas of multi-physics, multi-disciplinary and multi-scale problems involving fluid subsystems, verification and validation, uncertainty quantification, and model reduction. Numerical examples that illustrate the described methods or their accuracy are in general expected. Discussions of papers already in print are also considered. However, papers dealing strictly with applications of existing methods or dealing with areas of research that are not deemed to be cutting edge by the Editors will not be considered for review. The journal publishes full-length papers, which should normally be less than 25 journal pages in length. Two-part papers are discouraged unless considered necessary by the Editors.