Three-dimensional periodic fully-nonlinear potential waves
An exact numerical scheme for a long-term simulation of three-dimensional potential fully-nonlinear periodic gravity waves is suggested. The scheme is based on a surfacefollowing non-orthogonal curvilinear coordinate system and does not use the technique based on expansion of the velocity potential....
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American Society of Mechanical Engineers
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ftswinburneunicr:oai:researchbank.swinburne.edu.au:afc8c268-4a44-4d70-8c61-554757fcd206/1 2023-05-15T14:23:12+02:00 Three-dimensional periodic fully-nonlinear potential waves Chalikov, Dmitry Babanin, Alexander V. Swinburne University of Technology 2013 http://hdl.handle.net/1959.3/313846 http://www.asmeconferences.org/omae2013/ unknown American Society of Mechanical Engineers http://hdl.handle.net/1959.3/313846 http://www.asmeconferences.org/omae2013/ Copyright © 2013 ASME. The published version is reproduced for non-commercial purposes only in accordance with the copyright policy of the publisher. 32nd International Conference on Ocean, Offshore and Arctic Engineering (OMAE 2013), Nantes, France, 09-14 June 2013, paper no. OMAE2013-11634 Conference paper 2013 ftswinburneunicr 2022-09-11T17:01:45Z An exact numerical scheme for a long-term simulation of three-dimensional potential fully-nonlinear periodic gravity waves is suggested. The scheme is based on a surfacefollowing non-orthogonal curvilinear coordinate system and does not use the technique based on expansion of the velocity potential. The Poisson equation for the velocity potential is solved iteratively. The Fourier transform method, the secondorder accuracy approximation of the vertical derivatives on a stretched vertical grid and the fourth-order Runge-Kutta time stepping are used. The scheme is validated by simulation of steep Stokes waves. The model requires considerable computer resources, but the one-processor version of the model for PC allows us to simulate an evolution of a wave field with thousands degrees of freedom for hundreds of wave periods. The scheme is designed for investigation of the nonlinear two-dimensional surface waves, for generation of extreme waves as well as for the direct calculations of a nonlinear interaction rate. After implementation of the wave breaking parameterization and wind input, the model can be used for the direct simulation of a two-dimensional wave field evolution under the action of wind, nonlinear wavewave interactions and dissipation. The model can be used for verification of different types of simplified models. Conference Object Arctic Swinburne Research Bank (Swinburne University of Technology) |
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Swinburne Research Bank (Swinburne University of Technology) |
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ftswinburneunicr |
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unknown |
description |
An exact numerical scheme for a long-term simulation of three-dimensional potential fully-nonlinear periodic gravity waves is suggested. The scheme is based on a surfacefollowing non-orthogonal curvilinear coordinate system and does not use the technique based on expansion of the velocity potential. The Poisson equation for the velocity potential is solved iteratively. The Fourier transform method, the secondorder accuracy approximation of the vertical derivatives on a stretched vertical grid and the fourth-order Runge-Kutta time stepping are used. The scheme is validated by simulation of steep Stokes waves. The model requires considerable computer resources, but the one-processor version of the model for PC allows us to simulate an evolution of a wave field with thousands degrees of freedom for hundreds of wave periods. The scheme is designed for investigation of the nonlinear two-dimensional surface waves, for generation of extreme waves as well as for the direct calculations of a nonlinear interaction rate. After implementation of the wave breaking parameterization and wind input, the model can be used for the direct simulation of a two-dimensional wave field evolution under the action of wind, nonlinear wavewave interactions and dissipation. The model can be used for verification of different types of simplified models. |
author2 |
Swinburne University of Technology |
format |
Conference Object |
author |
Chalikov, Dmitry Babanin, Alexander V. |
spellingShingle |
Chalikov, Dmitry Babanin, Alexander V. Three-dimensional periodic fully-nonlinear potential waves |
author_facet |
Chalikov, Dmitry Babanin, Alexander V. |
author_sort |
Chalikov, Dmitry |
title |
Three-dimensional periodic fully-nonlinear potential waves |
title_short |
Three-dimensional periodic fully-nonlinear potential waves |
title_full |
Three-dimensional periodic fully-nonlinear potential waves |
title_fullStr |
Three-dimensional periodic fully-nonlinear potential waves |
title_full_unstemmed |
Three-dimensional periodic fully-nonlinear potential waves |
title_sort |
three-dimensional periodic fully-nonlinear potential waves |
publisher |
American Society of Mechanical Engineers |
publishDate |
2013 |
url |
http://hdl.handle.net/1959.3/313846 http://www.asmeconferences.org/omae2013/ |
genre |
Arctic |
genre_facet |
Arctic |
op_source |
32nd International Conference on Ocean, Offshore and Arctic Engineering (OMAE 2013), Nantes, France, 09-14 June 2013, paper no. OMAE2013-11634 |
op_relation |
http://hdl.handle.net/1959.3/313846 http://www.asmeconferences.org/omae2013/ |
op_rights |
Copyright © 2013 ASME. The published version is reproduced for non-commercial purposes only in accordance with the copyright policy of the publisher. |
_version_ |
1766295700018036736 |