滑坡引发海啸三维MPM-FEM混合和二维浅水模拟相结合的变量传递方法

IF 1.7 4区 工程技术 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS
Shaoyuan Pan, Reika Nomura, Guoming Ling, Shinsuke Takase, Shuji Moriguchi, Kenjiro Terada
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引用次数: 0

摘要

为了以相对较低的计算成本模拟滑坡引发的海啸从海啸产生到近海波浪传播的整个过程,我们提出了一种2D - 3D耦合策略,以桥接3D MPM-FEM混合和2D浅水(SW)模拟。具体而言,考虑到三维和二维分析方法基函数的差异,我们在域重叠法中设计了一种新的变量传递方案,该方案中,轻微重叠的域使产生的波在通过连接边界时误差尽可能小。对于三维区域的海啸发生阶段,采用有限元法(FEM)和物质点法(MPM)相结合的混合方法。在该方法中,固相的三维控制方程采用点阵法求解,而流体的三维稳定有限元法采用欧拉框架。此外,采用相场法对三维流体域的自由表面进行了跟踪。另一方面,用二维稳定有限元法求解了表示海上波浪运动的二维波形方程。通过数值算例验证了该方法在将数据从三维/二维正确传递到二维/三维领域方面的有效性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

Variable passing method for combining 3D MPM–FEM hybrid and 2D shallow water simulations of landslide-induced tsunamis

Variable passing method for combining 3D MPM–FEM hybrid and 2D shallow water simulations of landslide-induced tsunamis

With a view to simulating the entire process of a landslide-triggered tsunami, ranging from tsunami generation to offshore wave propagation, with relatively low computational costs, we present a 2D–3D coupling strategy to bridge 3D MPM–FEM hybrid and 2D shallow water (SW) simulations. Specifically, considering the difference in basis functions between the 3D and 2D analysis methods, we devise a novel variable passing scheme in the domain overlapping method, in which a slightly overlapped domain enables the generated wave to pass through the connection boundaries with as little discrepancy as possible. For the tsunami generation stage in the 3D domain, the hybrid method combining the finite element method (FEM) and material point method (MPM) is adopted. In this method, the 3D governing equation of the solid phase is solved with the MPM, whereas the well-established 3D stabilized FEM is applied to that of the fluid phase in an Eulerian frame. Additionally, the phase-field method is employed to track the free surface of the 3D fluid domain. On the other hand, the SW equation that represents the offshore wave motion in the 2D domain is solved by the 2D stabilized FEM. Several numerical examples are presented to demonstrate the effectiveness of the developed scheme in properly passing the data from 3D/2D to 2D/3D domains.

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来源期刊
International Journal for Numerical Methods in Fluids
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.
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