Numerical investigation of the Fourier–Kochin theory for wave-induced response estimation of floating structures

Abstract

The Fourier–Kochin theory—an indirect solution approach for the boundary integral representations of free-surface flows that rely on free-surface Green function—is investigated by considering effective computation and reliable prediction. The present study addresses wave–body interaction with zero forward speed by adopting a higher-order approximation. Three distinct hull forms, the DTMB 5415, a scaled model reproduced from it, and a barge are used for practical application. The scaled frigate and barge models are used for comparative analysis to assess the performance of different computation techniques, modeling elements, and solution methods and to find the best course; the purpose of studying DTMB 5415 is to provide a realistic application based on a full-scale hull form by using the findings of the earlier benchmark studies. The analyses that cover both the rigid-body and elastic responses indicate that an adaptive approach for the computation of Fourier components has the potential to eliminate the numerical drawbacks of the presented implementation the Fourier–Kochin theory, but also stringently needs parallelism, preferably using the Single Program Multiple Data model. Using discontinuous elements for free-surface discretization when applying the Extended Boundary Integral Equation Method, the featured technique for irregular frequency suppression, is also promoted.