WAVE DIFFRACTION ANALYSIS FOR A VERY LARGE FLOATING STRUCTURE BY ACCELERATED GREEN'S FUNCTION METHOD IN INFINITE WATER DEPTH

Abstract

This paper presents an accelerated Green's function method for wave diffraction analysis of a very large floating structure (VLFS) in infinite water depth. The formulations have been made for multipole expansion of Green's function in infinite water depth and the expressions for conversion of the expansion coefficients, which are required for application of the fast multipole algorithm. Then, wave diffraction analysis around a very large floating structure in infinite water depth using accelerated Green's function method has been presented. Numerical examples have shown the efficiency of O(N) in computation time, where N is the number of unknowns for the velocity potential.