An effective boundary element model to calculate the interaction between waves and flexible membrane

IF 4.3 2区 工程技术 Q1 ENGINEERING, OCEAN Applied Ocean Research Pub Date : 2024-10-17 DOI:10.1016/j.apor.2024.104267
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Abstract

Flexible membranes are widely used in marine engineering, but how to calculate their hydrodynamic performance under wave action remains a challenging problem. In this paper, a new model based on the eigenfunction expansion boundary element method (EEBEM) is proposed to calculate the wave-membrane interaction under two-dimensional conditions. A general dynamic boundary condition suitable for linear and arcuate membranes is established based on the membrane’s constitutive equations under cylindrical coordinates. This condition considers the dynamic tension and curvature of the membrane, and an integral expression for the dynamic tension is also derived. Subsequently, the dynamic boundary condition is transformed into a function of the velocity potential and applied to the EEBEM, overcoming the difficulty of the coupled solutions for the arcuate membrane’s motion and the flow field. Moreover, a generalized solution framework for wave-structure interaction is established by constructing a fully closed form of the water wave equations, which effectively shortens the modeling time and expands the application scope. After verifying the accuracy and effectiveness of the model, the hydrodynamic performance (wave force, membrane tension and wave transmission coefficient) and motion response of a submerged flexible membrane breakwater (SFMB) are investigated. The results demonstrate that the model exhibits high accuracy, which is beneficial for elucidating the mechanism of wave-membrane interaction and providing robust support for related research fields.
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计算波浪与柔性膜相互作用的有效边界元模型
柔性膜在海洋工程中应用广泛,但如何计算其在波浪作用下的水动力性能仍是一个具有挑战性的问题。本文提出了一种基于特征函数扩展边界元法(EEBEM)的新模型,用于计算二维条件下波与膜的相互作用。根据圆柱坐标下的膜构成方程,建立了适用于线性和弧形膜的一般动态边界条件。该条件考虑了膜的动态张力和曲率,并推导出动态张力的积分表达式。随后,将动态边界条件转化为速度势函数并应用于 EEBEM,从而克服了弧形膜运动和流场耦合求解的困难。此外,通过构建水波方程的全封闭形式,建立了波与结构相互作用的广义求解框架,有效缩短了建模时间,扩大了应用范围。在验证了模型的准确性和有效性后,研究了水下柔性膜防波堤(SFMB)的水动力性能(波力、膜张力和透波系数)和运动响应。结果表明,该模型具有很高的精度,有利于阐明波-膜相互作用的机理,并为相关研究领域提供有力支持。
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来源期刊
Applied Ocean Research
Applied Ocean Research 地学-工程:大洋
CiteScore
8.70
自引率
7.00%
发文量
316
审稿时长
59 days
期刊介绍: The aim of Applied Ocean Research is to encourage the submission of papers that advance the state of knowledge in a range of topics relevant to ocean engineering.
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