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

Bahadır Uğurlu*, İsmail Kahraman, C. Guedes Soares

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


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.

Original languageEnglish
Article number110562
JournalOcean Engineering
Publication statusPublished - 1 Mar 2022

Bibliographical note

Publisher Copyright:
© 2022 Elsevier Ltd


This document is the result of the research projects funded by FCT, Portugal (under grant SFRH/BPD/34927/2007 ) and ITU-BAP, Turkey (Project No: 39023 ). Authors thank Foundation for Science and Technology (Fundação para a Ciência e a Tecnologia-FCT) and Istanbul Technical University Research Fund (ITU-BAP) for the supports they provided. Computing resources used in this work were partially provided by the National Center for High Performance Computing of Turkey (UHeM) under grant number.

FundersFunder number
Fundação para a Ciência e a Tecnologia-FCT
National Center for High Performance Computing of Turkey
Ulusal Yüksek Başarımlı Hesaplama Merkezi, Istanbul Teknik Üniversitesi
Fundação para a Ciência e a TecnologiaSFRH/BPD/34927/2007
Istanbul Teknik Üniversitesi


    • Combined Boundary Integral Equation Method (CBIEM)
    • DTMB 5415
    • Extended Boundary Integral Equation Method (EBIEM)
    • Fourier–Kochin theory
    • Free-surface Green function
    • Single Program Multiple Data (SPMD) parallelism


    Dive into the research topics of 'Numerical investigation of the Fourier–Kochin theory for wave-induced response estimation of floating structures'. Together they form a unique fingerprint.

    Cite this