Book contents
- Frontmatter
- Contents
- Preface
- Acknowledgments
- Symbols
- Abbreviations
- 1 Introduction
- 2 Environmental Conditions
- 3 Wave Theories
- 4 Wave and Current Loads on Slender Bodies
- 5 Flow-Induced Instabilities
- 6 Large Bodies: Linear Theory
- 7 Large Bodies: Second-Order Effects
- 8 Large Bodies: Other Nonlinear Effects
- 9 Model Testing
- Appendix A: Introduction to Potential Flow Theory
- Appendix B: Hydrostatics
- Appendix C: Damped Mass Spring System
- Appendix D: The Boundary Integral Equation Method
- Author Index
- Subject Index
- References
Appendix D: - The Boundary Integral Equation Method
Published online by Cambridge University Press: 31 January 2023
Book contents
- Frontmatter
- Contents
- Preface
- Acknowledgments
- Symbols
- Abbreviations
- 1 Introduction
- 2 Environmental Conditions
- 3 Wave Theories
- 4 Wave and Current Loads on Slender Bodies
- 5 Flow-Induced Instabilities
- 6 Large Bodies: Linear Theory
- 7 Large Bodies: Second-Order Effects
- 8 Large Bodies: Other Nonlinear Effects
- 9 Model Testing
- Appendix A: Introduction to Potential Flow Theory
- Appendix B: Hydrostatics
- Appendix C: Damped Mass Spring System
- Appendix D: The Boundary Integral Equation Method
- Author Index
- Subject Index
- References
Summary
The boundary integral equation method, also known as the method of singularities, is described. The Green function, consisting of Rankine and Kelvin parts, is introduced. Application of Green’s identity leads to an integral equation, which is solved numerically. Numerical aspects are covered, such as how to remedy the problem of irregular frequencies, or include coexisting current.
Keywords
- Type
- Chapter
- Information
- Offshore Structure Hydrodynamics , pp. 409 - 420Publisher: Cambridge University PressPrint publication year: 2023
References
Chen, X.B. 1993. Evaluation de la fonction de Green du problème de diffraction/radiation en profondeur d’eau finie. Une nouvelle méthode rapide et précise, in Actes des 4èmes Journées de l’Hydrodynamique, Nantes (in French; http://website.ec-nantes.fr/actesjh/).Google Scholar
Chen, X.B. 2011. Offshore hydrodynamics and applications, The IES Journal Part A: Civil & Structural Engineering, 4(3), 124–142.Google Scholar
Newman, J.N. 1985. Algorithms for the free surface Green function, Journal of Engineering Mathematics, 19(1):57–67.Google Scholar
Noblesse, F. 1982. The Green function in the theory of radiation and diffraction of regular water waves by a body, Journal of Engineering Mathematics, 16(2), 137–169, 1982.Google Scholar
Noblesse F., Chen X.B. 1995. Decomposition of free surface effects into wave and near-field components, Ship Technology Research, 42, 167–185.Google Scholar
Wehausen J.V., Laitone E.V. 1960. Surface waves. In Handbuch der Physik, 446–778. SpringerGoogle Scholar