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

本文研究超大型浮式结构物（VLFS）波浪响应的大规模计算问题。特别地，本文提出了一种用于超大型浮式结构物波浪响应分析的加速绿色函数法。本文在高阶边界元程序上采用八节点四边形单元实现了快速多极子方法，该方法采用了迭代求解器、绿色函数的多极展开和auadrant树的分层算法。为了有效地利用迭代求解器求解水弹性问题，提出了一种新的算法。数值算例表明，该方法在存储量为0（N）和计算时间为0（Nlog（N））（其中N为速度势的未知数）方面都是有效的。

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.