Efficient Hybrid-Spectral Model for Fully Nonlinear Numerical Wave Tank
International audience 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...
Published in: | Volume 9: Odd M. Faltinsen Honoring Symposium on Marine Hydrodynamics |
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Main Authors: | , , , , |
Other Authors: | , , |
Format: | Conference Object |
Language: | English |
Published: |
HAL CCSD
2013
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Subjects: | |
Online Access: | https://hal.science/hal-01160630 https://doi.org/10.1115/OMAE2013-10861 |
Summary: | International audience 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 Dirichlet-to-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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