Wave interaction with double-cylinder structurer with arc-shaped porous outer wall
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摘要: 应用比例边界有限元法(SBFEM)研究了短峰波与圆筒外接圆弧开孔结构物的相互作用. 求解时将外接圆弧延伸构建一个虚拟圆, 该圆的孔隙影响系数可由矩阵G_0统一进行表达. 整个流场可划分成一个有限域和一个无限域. SBFEM只需对虚拟圆边界进行离散, 使空间维数降低一阶, 在圆的半径方向保持解析, 并且无限域处的辐射边界条件能自动满足. 利用变分原理推导SBFEM方程, 有限域和无限域分别采用贝塞尔函数和汉克尔函数作为基函数来求得对应域的解. 将计算结果与解析解和其他数值方法进行了比较, 验证了该方法是一种用很少单元便能得到精确结果的高效算法. 进一步研究了诸如短峰波波向、结构的几何、材料参数等因素对结构所受波浪载荷及绕射波轮廓的影响, 并进行了分析.
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关键词:
- 开孔结构
Abstract: The scaled boundary finite element method (SBFEM) isapplied to solve the problem of hydrodynamic interaction between theshort-crested wave and the circular cylinder circumscribed arc-shaped porousstructure. The porous arc is extended to form an imaginary circularcylindrical interface. As a result, the entire computational domain isdivided into one bounded domain and one unbounded domain. The porouscoefficient of the whole imaginary circular interface is represented by adiagonal matrix G_0. Analytical procedure is applied in thereduced direction, and only the boundary of the exterior cylinder needs bediscretized to reduce spatial dimension by one. In addition, the presentapproach can meet the boundary condition at the infinity automatically.Hankel and Bessel functions are chosen as the basis functions for thesolution SBFEM equations. Comparisons are made between the results solved bySBFEM and those by acquired analytical solution or solutions by othermethods in the literature. The results show that the proposed approachyields excellent results with quite few discretized nodes and quickconvergence. The influence of varying wave parameters and structureconfiguration on the system hydrodynamics is extensively examined. Theseresearch results are of practical significance to the hydrodynamic analysisand design for the circular cylinder circumscribed arc-shaped porousstructure.-
Key words:
- porous structure
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