A high-order spectral element unified boussinesq model for floating point absorbers

Umberto Bosi (1) , Allan P. Engsig-Karup (2) , Claes Eskilsson (3) , Mario Ricchiuto (1) , Elie Solai (1)

1 CARDAMOM - Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts
2 DTU Compute - Department of Applied Mathematics and Computer Science [Lyngby]
3 RISE Research Institutes of Sweden

Nonlinear wave-body problems are important in renewable energy, especially in case of wave energy converters operating in the near-shore region. In this paper we simulate nonlinear interaction between waves and truncated bodies using an efficient spectral/hp element depth-integrated unified Boussinesq model. The unified Boussinesq model treats also the fluid below the body in a depth-integrated approach. We illustrate the versatility of the model by predicting the reflection and transmission of solitary waves passing truncated bodies. We also use the model to simulate the motion of a latched heaving box. In both cases the unified Boussinesq model show acceptable agreement with CFD results-if applied within the underlying assumptions of dispersion and nonlinearity-but with a significant reduction in computational effort.

Mots clés: Discontinuous Galerkin method; Spectral/hp element method; Domain decomposition; Wave-body interaction; Nonlinear and dispersive waves; Boussinesq equations

Domaines: Modélisation et simulation; Analyse numérique [math.NA]; Mécanique des fluides [physics.class-ph]; Océan, Atmosphère

Umberto Bosi, Allan P. Engsig-Karup, Claes Eskilsson, Mario Ricchiuto, Elie Solai. A high-order spectral element unified boussinesq model for floating point absorbers. 36th International Conference on Coastal Engineering, Jul 2018, Baltimore, United States. pp.57. ⟨hal-01985374v2⟩