A study of a fixed trapezoidal section in regular waves using a generalized weak-scatterer model

Chao Tong, Yanlin Shao*, Harry B. Bingham, Finn-Christian W. Hanssen

*Corresponding author for this work

Research output: Contribution to conferencePaperResearchpeer-review

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Abstract

The original weak-scatterer (OWS) hypothesis, pioneered by Pawlowski [1], assumes a vertical displacement of the scattered wave elevation from the underlying incident wave, which leads to an inconsistency when the surface-piercing structure has flares near the waterline. Thus, the predicted waterline position using the superposition of the incident and scattered waves will separate from the surface of the structure, particularly for incident waves with large amplitudes and structures with large flare angles. With this in mind, we have re-derived the free-surface boundary conditions based on a generalized weak-scatterer (GWS) approximation to avoid this inconsistency. The basic idea of GWS is that the fully nonlinear (FN) freesurface conditions are linearized about the incident wave surface, but using a Taylor expansion along an arbitrary direction which can be manually prescribed in practice according to the geometry of the structure. In this way, we can precisely capture the waterline position on the structure at each time step of the solution. Accordingly, expressions for the wave loads acting on the structure based on direct pressure integration are also derived based on the same assumption.
Original languageEnglish
Publication date2022
Number of pages4
Publication statusPublished - 2022
Event37th International Workshop on Water Waves and Floating Bodies - Una Hotel, Giardini Naxos, Italy
Duration: 10 Apr 202213 Apr 2022

Conference

Conference37th International Workshop on Water Waves and Floating Bodies
LocationUna Hotel
Country/TerritoryItaly
CityGiardini Naxos
Period10/04/202213/04/2022

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