Free surface wave interaction with a submerged body using a DtN boundary condition

IF 2.2 3区工程技术 Q2 MECHANICS

Theoretical and Computational Fluid Dynamics Pub Date : 2024-01-19 DOI:10.1007/s00162-023-00682-x

Un-Ryong Rim, Pil-Sung Dong, Chol-Guk Jang

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引用次数: 0

Abstract

Recently, Rim (Ocean Engng 239:711, 2021; J Ocean Engng Mar Energy 9:41-51, 2023 ) suggested an exact DtN artificial boundary condition to study the three-dimensional wave diffraction by stationary bodies. This paper is concerned with three-dimensional linear interaction between a submerged oscillating body with arbitrary shape and the regular water wave with finite depth. An exact Dirichlet-to-Neumann (DtN) boundary condition on a virtual cylindrical surface is derived, where the virtual surface is chosen so as to enclose the body and extract an interior subdomain with finite volume from the horizontally unbounded water domain. The DtN boundary condition is then applied to solve the interaction between the body and the linear wave in the interior subdomain by using boundary integral equation. Based on verification of the present model for a submerged vertical cylinder, the model is extended to the case of a submerged chamfer box with fillet radius in order to study 6-DoF oscillatory motion of the body under the free surface wave.

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使用 DtN 边界条件的自由表面波与浸没体的相互作用

摘要最近，Rim (Ocean Engng 239:711, 2021; J Ocean Engng Mar Energy 9:41-51, 2023 ) 提出了一种精确的 DtN 人工边界条件来研究静止体的三维波衍射。本文研究任意形状的水下振动体与有限深度的规则水波之间的三维线性相互作用。本文推导了虚拟圆柱面上精确的 Dirichlet 到 Neumann（DtN）边界条件，其中虚拟表面的选择是为了将体包围起来，并从水平无界水域中提取一个具有有限体积的内部子域。然后应用 DtN 边界条件，利用边界积分方程解决内部子域中主体与线性波之间的相互作用。在对本模型进行水下垂直圆柱体验证的基础上，将模型扩展到具有圆角半径的水下倒角箱的情况，以研究自由表面波作用下体的 6-DoF 振荡运动。图表摘要

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

Theoretical and Computational Fluid Dynamics 物理-力学

CiteScore

5.80

自引率

2.90%

发文量

审稿时长

>12 weeks

期刊介绍： Theoretical and Computational Fluid Dynamics provides a forum for the cross fertilization of ideas, tools and techniques across all disciplines in which fluid flow plays a role. The focus is on aspects of fluid dynamics where theory and computation are used to provide insights and data upon which solid physical understanding is revealed. We seek research papers, invited review articles, brief communications, letters and comments addressing flow phenomena of relevance to aeronautical, geophysical, environmental, material, mechanical and life sciences. Papers of a purely algorithmic, experimental or engineering application nature, and papers without significant new physical insights, are outside the scope of this journal. For computational work, authors are responsible for ensuring that any artifacts of discretization and/or implementation are sufficiently controlled such that the numerical results unambiguously support the conclusions drawn. Where appropriate, and to the extent possible, such papers should either include or reference supporting documentation in the form of verification and validation studies.