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Short-crested waves interaction with a concentric cylindrical structure with double-layered perforated walls

机译：短波与双层多孔壁同心圆柱结构相互作用

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摘要

This paper aims at extending the semi-analytical scaled boundary finite element method (SBFEM) to deal with the short-crested waves interaction with a surface-piercing concentric cylindrical structure, which consists of a solid inner cylinder and a coaxial double-layered perforated wall. The whole fluid domain is divided into three sub-domains including two bounded and one unbounded domains, and a variational principle formulation is used to derive the SBFEM equation in each sub-domain. Hankel functions and Bessel functions are chosen as the basis function for the solution of the unbounded and bounded domains, respectively. Although the structure adds a porous cylinder compared to that of Tao's work (2009), the SBFEM also needs to discretize only the outermost porous cylinder with curved surface finite-elements and keeps the radial differential equation solved completely analytically. However, the unknown coefficient vectors for solving the SBFEM equations increase compared with that of Tao's work. Thus we re-derive the solving process for the SBFEM equations. The results of numerical verification show that the present method yields excellent results with only a few nodes and quick convergence. The major factors including wave parameters and structure configuration that affect the wave forces, surface elevations and the diffracted wave contours are examined.
机译：本文旨在扩展半解析比例边界有限元方法（SBFEM），以处理由固体内圆柱和同轴双层多孔壁组成的表面穿孔同心圆柱结构的短波相互作用。 。将整个流体域划分为三个子域，包括两个有界域和一个无界域，并使用变分原理公式推导每个子域中的SBFEM方程。选择汉克尔函数和贝塞尔函数分别作为无界和有界域解的基础函数。尽管与Tao（2009）的结构相比，该结构增加了一个多孔圆柱体，但SBFEM还需要仅离散具有曲面有限元的最外面的多孔圆柱体，并使径向微分方程保持完全解析地求解。但是，与陶氏的工作相比，用于求解SBFEM方程的未知系数向量增加了。因此，我们重新推导了SBFEM方程的求解过程。数值验证结果表明，该方法在节点少，收敛快的情况下，取得了良好的效果。研究了影响波浪力，表面高度和衍射波轮廓的主要因素，包括波浪参数和结构配置。

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  • 来源
    《Ocean Engineering》 |2012年第2期|p.76-90|共15页
  • 作者

    Jun Liu; Gao Lin; Jianbo Li;

  • 作者单位

    School of Hydraulic Engineering, Faculty of Infrastructure Engineering, Dalian University of Technology, Dalian 116024, China State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, China;

    School of Hydraulic Engineering, Faculty of Infrastructure Engineering, Dalian University of Technology, Dalian 116024, China State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, China;

    School of Hydraulic Engineering, Faculty of Infrastructure Engineering, Dalian University of Technology, Dalian 116024, China State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, China;

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  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    scaled boundary finite element method; short-crested wave; wave diffraction; porous media; double-layered walls; wave-structure interaction;

    机译：比例边界有限元法短波波衍射多孔介质双层墙;波结构相互作用;

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