Conference paper
Efficient Hybrid-Spectral Model for Fully Nonlinear Numerical Wave Tank
Department of Mechanical Engineering, Technical University of Denmark1
Fluid Mechanics, Coastal and Maritime Engineering, Department of Mechanical Engineering, Technical University of Denmark2
Department of Applied Mathematics and Computer Science, Technical University of Denmark3
Scientific Computing, Department of Applied Mathematics and Computer Science, Technical University of Denmark4
École centrale de Nantes5
A new hybrid-spectral solution strategy is proposed for the simulation of the fully nonlinear free surface equations based on potential flow theory. A Fourier collocation method is adopted horisontally for the discretization of the free surface equations. This is combined with a modal Chebyshev Tau method in the vertical for the discretization of the Laplace equation in the fluid domain, which yields a sparse and spectrally accurate Dirichletto-Neumann operator.
The Laplace problem is solved with an efficient Defect Correction method preconditioned with a spectral discretization of the linearised wave problem, ensuring fast convergence and optimal scaling with the problem size. Preliminary results for very nonlinear waves show expected convergence rates and a clear advantage of using spectral schemes.
| Language: | English |
|---|---|
| Publisher: | The American Society of Mechanical Engineers (ASME) |
| Year: | 2013 |
| Proceedings: | 32nd International Conference on Ocean, Offshore and Arctic Engineering (OMAE 2013)International Conference on Ocean, Offshore and Arctic Engineering |
| ISBN: | 0791855430 and 9780791855430 |
| Types: | Conference paper |
| DOI: | 10.1115/OMAE2013-10861 |
| ORCIDs: | Bingham, Harry B. and Engsig-Karup, Allan Peter |
