Efficient Hybrid-Spectral Model for Fully Nonlinear Numerical Wave Tank

Torben Christiansen, Harry B. Bingham, Allan Peter Engsig-Karup, Guillaume Ducrozet, Pierre Ferrant

Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review

Abstract

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.
Original languageEnglish
Title of host publication32nd International Conference on Ocean, Offshore and Arctic Engineering
Number of pages10
Volume9
PublisherAmerican Society of Mechanical Engineers
Publication date2013
Article numberOMAE2013-10861
ISBN (Print)978-0-7918-5543-0
DOIs
Publication statusPublished - 2013
Event32nd International Conference on Ocean, Offshore and Arctic Engineering (OMAE 2013) - Nantes, France
Duration: 9 Jun 201314 Jun 2013
Conference number: 32

Conference

Conference32nd International Conference on Ocean, Offshore and Arctic Engineering (OMAE 2013)
Number32
CountryFrance
CityNantes
Period09/06/201314/06/2013

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