Accelerated Higher Order Boundary Element Method for Wave Diffraction/Radiation Problems and Its Applications

摘要

This paper presents an accelerated higher order boundary elementmethod for wave diffraction/radiation problems and its applications,especially for wave response analysis of VLFS (Very Large FloatingStructures). The Fast Multipole Method (FMM) has been implementedon the higher order boundary element code using 8-node quadrilateralelement. The method utilizes an iterative solver, multipole expansionof Green’s function, and hierarchical algorithm using quadrant-tree.For solving hydroelastic problem efficiently using iterative solver, anew algorithm, where the equations of motions representing platevibration are solved at each iterative step, has been introduced. Thenumerical benchmark calculations have shown the efficiency of themethod both in storage requirement of O(N) and computation time ofO(N log N), where N is the number of unknowns for the velocitypotential.