Conference paper
Incorporating a semi-Lagrangian body-free-surface intersection point in a fully nonlinear potential flow model
Fluid Mechanics, Coastal and Maritime Engineering, Department of Mechanical Engineering, Technical University of Denmark1
Department of Mechanical Engineering, Technical University of Denmark2
Scientific Computing, Department of Applied Mathematics and Computer Science, Technical University of Denmark3
Department of Applied Mathematics and Computer Science, Technical University of Denmark4
This abstract presents our progress in the development of a fully nonlinear potential ow solver capable of modelling wave-structure and wave-bottom interactions. The numerical method is based on a finite difference method with a σ-transform in the vertical direction, as presented in Bingham and Zhang (2007), and boundary conditions are imposed in a robust way as described in Engsig-Karup et al. (2009).
Wave-structure interaction is implemented using the Immersed Boundary Method (IBM) shown in Kontos et al. (2016), where the body boundary condition is satisfied by a Weighted Least Squares approximation, as described in Lindberg et al. (2014). The current work details the introduction of a semi-Lagrangian point tracking the body-free-surface intersection, which improves robustness and extends the capabilities of the solver to increasingly nonlinear wave-structure interaction.
The accuracy and convergence of the scheme are validated by comparison with the second-order wave generation theory of Schäffer (1996).
| Language: | English |
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| Year: | 2021 |
| Proceedings: | 35th International Workshop on Water Waves and Floating Bodies (IWWWFB 2020) |
| Types: | Conference paper |
| ORCIDs: | Hicks, Jacob , Bingham, Harry , Read, Robert and Engsig-Karup, Allan P. |
