Efficient methods free of irregular frequencies in wave and solid/porous structure interactions

Hui Liang*, Charaf Ouled Housseine, Xiaobo Chen, Yanlin Shao

*Corresponding author for this work

Research output: Contribution to journalJournal articleResearchpeer-review


The method of boundary integral equation is widely applied to compute and analyze wave–structure interactions in marine and offshore engineering, and the application is also seen in marine aquaculture to deal with waves and porous structure interactions. The application of the Fredholm integral equation of the second kind together with the free-surface Green function for a surface-piercing body suffers from irregular frequencies which may be confused with resonance peaks. A simple and efficient method to remove irregular frequencies in the wave–structure interactions is developed via enforcing null potential (and horizontal derivatives) on discrete points on the interior water-plane area and is referred to as overdetermined integral equations (and enhanced overdetermined integral equations), respectively. Structures with solid surface, porous surface and their blending are considered, and numerical results demonstrate the effectiveness of this method. In contrast to extended integral equations, the overdetermined integral equations are easy to implement and more time-efficient.
Original languageEnglish
Article number103130
JournalJournal of Fluids and Structures
Number of pages16
Publication statusPublished - 2020


  • Irregular frequencies
  • Overdetermined integral equation
  • Wave–structure interaction
  • Porous structures

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