STUDY ON ACCELERATED BOUNDARY ELEMENT METHOD FOR WAVE RESPONSE ANALYSIS OF VERY LARGE FLOATING STRUCTURES

特大型浮体结构波响应加速边界元法研究

• 批准号: 12450185
• 负责人: WATANABE Eiichi
• 金额: $ 8万
• 依托单位: KYOTO UNIVERSITY
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (B)
• 财政年份: 2000
• 资助国家: 日本
• 起止时间: 2000 至 2001
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/en/grant/KAKENHI-PROJECT-12450185/
• 关键词: very large floating structure; VLFS; wave response; boundary element method; BEM; fast multipole method; FMM; hydroelasticity; 波浪応答解析; 箱型ポンツーン

This study concerns on large scale computation for wave response analysis of very large floating structures (VLFS). Especially, the study presents an accelerated Green's function method for wave response analysis of Very Large Floating Structures (VLFS). The Fast Multipole Method (FMM) has been implemented on the higher order boundary element code using 8-node quadrilateral element.The method utilizes an iterative solver, multipole expansion of Green's function, and hierarchical algorithm using auadrant-tree. For solving hydroelastic problem efficiently using iterative solver, a new algorithm has been introduced. The numerical benchmark calculations have shown the efficiency of the method both in storage requirement of 0(N) and computation time of 0(Nlog(N)), where N is the number of unknowns for the velocity potential.

这项研究涉及大规模计算，用于对非常大的浮动结构（VLF）的波响应分析。尤其是，该研究提出了一种加速的绿色功能方法，用于对非常大的浮动结构（VLF）的波反应分析。快速多极方法（FMM）已使用8节点四边形元素在高阶边界元素代码上实现。该方法利用迭代求解器，Green功能的多极扩展以及使用Auadrant-Tree的层次算法。为了使用迭代求解器有效地解决水理问题，已经引入了一种新的算法。数值基准计算显示了该方法在存储需求0（n）和计算时间0（NLOG（n））中的效率，其中n是速度电位的未知数。

项目成果

Utsunomiya,Tomoaki: "Fast multipole method for hydrodynamic analysis of very large floating structures"Proc.of 16th Int.Workshop on Water Waves and Floating Bodies. (発表予定). (2001)

Utsunomiya，Tomoaki：“大型浮动结构水动力分析的快速多极方法”第 16 届水波和浮动体国际研讨会论文集（即将发表）。

宇都宮智昭: "超大型浮体の波浪応答解析のための高速化グリーン関数法の開発"第16回海洋工学シンポジウム論文集. (発表予定). (2001)

Tomoaki Utsunomiya：“超大型浮体波浪响应分析的加速格林函数方法的开发”第 16 届海洋工程研讨会论文集（预定报告）（2001 年）。

T. Utsunomiya, E. Watanabe, N. Nishimura: "Fast Multipole Method for Hydrodynamic Analysis of Very Large Floating Structures"Proc. of 16th Int. Workshop on Water Waves and Floating Bodies. 161-164 (2001)

T. Utsunomiya、E. Watanabe、N. Nishimura：“用于超大型浮动结构水动力分析的快速多极方法”Proc。

N. Nishimura, K. Yoshida: "A Treatment of the Radiation Condition in the BIE Solution of Water Wave Problems"Proc. CTEC Conference, JASCOME. Vol.1. 29-32 (2001)

N. Nishimura、K. Yoshida：“水波问题 BIE 解决方案中辐射条件的处理”Proc。

宇都宮智昭, 渡邊英一: "超大型浮体の波浪応答解析のための高速化グリーン関数法の開発"第16回海洋工学シンポジウム論文集. 313-320 (2001)

Tomoaki Utsunomiya、Eiichi Watanabe：“用于超大浮体波浪响应分析的加速格林函数方法的开发”第16届海洋工程研讨会论文集313-320（2001）。