Efficient Hybrid-Spectral Model for Fully Nonlinear Numerical Wave Tank
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...
| Published in: | Volume 9: Odd M. Faltinsen Honoring Symposium on Marine Hydrodynamics |
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| Main Authors: | , , , , |
| Format: | Other Non-Article Part of Journal/Newspaper |
| Language: | English |
| Published: |
American Society of Mechanical Engineers
2013
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| Subjects: | |
| Online Access: | https://orbit.dtu.dk/en/publications/79a1031b-5e02-48bc-94cd-1bc84b2b0cb1 https://doi.org/10.1115/OMAE2013-10861 |
| Summary: | 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. |
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