A fully nonlinear implicit model for wave interactions with submerged structures in forced or free motion

Etienne Guerber (1) , Michel Benoit (1) , Stephan T. Grilli (2) , Clément Buvat (1)

1 LHSV - Laboratoire d'Hydraulique Saint-Venant / Saint-Venant Laboratory for Hydraulics
2 DOE/URI - Department of Ocean Engineering

The purpose of this work is to develop advanced numerical tools for modeling two-way fully nonlinear interactions of ocean surface waves (irregular waves in the general situation) with submerged structures undergoing large amplitude motion, that could represent Wave Energy Converters (WECs). In our modeling approach, an existing two-dimensional Numerical Wave Tank (NWT), based on potential flow theory, is extended to include a submerged horizontal cylinder of arbitrary cross-section. The mathematical problem and related numerical solution are first introduced. Then, conservation of volume and conservation of energy are checked, respectively, in the case of a circular cylinder in a prescribed large amplitude motion and in the case of a circular cylinder in a free motion. Interactions between waves and a submerged circular cylinder computed by the model are then compared to mathematical solutions for two situations: a cylinder in prescribed motion and a freely moving cylinder.

Mots clés: Nonlinear waves; Boundary Element Method; Numerical Wave Tank; Wave-structure interactions; Wave Energy Converter (WEC)

Domaines: Mécanique des fluides [physics.class-ph]; Mécanique des fluides [physics.class-ph]

Etienne Guerber, Michel Benoit, Stephan T. Grilli, Clément Buvat. A fully nonlinear implicit model for wave interactions with submerged structures in forced or free motion. Engineering Analysis with Boundary Elements, 2012, 36, pp.1151-1163. ⟨10.1016/j.enganabound.2012.02.005⟩. ⟨hal-00679692⟩