Nonlinear Evolution of a Steep, Focusing Wave Group in Deep Water Simulated with OceanWave3D
Steep, focusing waves can experience fast and local nonlinear evolution of the spectrum due to wave-wave interactions resulting in energy transfer to both higher and lower wavenumber components. The shape and kinematics of a steep wave may, thus, differ substantially from the predictions of linear t...
Published in: | Journal of Offshore Mechanics and Arctic Engineering |
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ftdtupubl:oai:pure.atira.dk:publications/34d52f43-4ecb-4b13-8ce7-2ff6b010f98c 2024-04-28T08:04:13+00:00 Nonlinear Evolution of a Steep, Focusing Wave Group in Deep Water Simulated with OceanWave3D Barratt, Dylan Bingham, Harry B. Adcock, Thomas A. A. 2020 application/pdf https://orbit.dtu.dk/en/publications/34d52f43-4ecb-4b13-8ce7-2ff6b010f98c https://doi.org/10.1115/1.4044989 https://backend.orbit.dtu.dk/ws/files/193384775/Barratt_et_al_2019_final.pdf eng eng https://orbit.dtu.dk/en/publications/34d52f43-4ecb-4b13-8ce7-2ff6b010f98c info:eu-repo/semantics/openAccess Barratt , D , Bingham , H B & Adcock , T A A 2020 , ' Nonlinear Evolution of a Steep, Focusing Wave Group in Deep Water Simulated with OceanWave3D ' , Journal of Offshore Mechanics and Arctic Engineering , vol. 142 , no. 2 , 021201 . https://doi.org/10.1115/1.4044989 Nonlinear wave mechanics Directional energy transfers wing waves OCEANWAVE3D /dk/atira/pure/sustainabledevelopmentgoals/affordable_and_clean_energy name=SDG 7 - Affordable and Clean Energy article 2020 ftdtupubl https://doi.org/10.1115/1.4044989 2024-04-03T15:43:49Z Steep, focusing waves can experience fast and local nonlinear evolution of the spectrum due to wave-wave interactions resulting in energy transfer to both higher and lower wavenumber components. The shape and kinematics of a steep wave may, thus, differ substantially from the predictions of linear theory. We have investigated the role of nonlinear interactions on group shape for a steep, narrow-banded, directionally-spread wave group focusing in deep water using the fully-nonlinear potential flow solver, OceanWave3D. Exact second-order correction of the initial conditions has been implemented together with a novel third-order approximate correction based on a Stokes-type formulation for surface elevation combined with a scaling argument for the third-order velocity potential. Four-phase separation reveals that the third-order scheme provides a good estimate for the third-order superharmonics. A quantitative assessment of numerical error has also been performed for the spatial and temporal discretization, including energy conservation, a reversibility check and validation against previous simulations performed with a higher-order spectral (HOS) code. The initially narrowbanded amplitude spectrum exhibits the formation of sidelobes at angles of approximately ± 35deg to the spectral peak during the simulated extreme wave event, occurring in approximately 10 wave periods, with a preferential energy transfer to highwavenumber components. The directional energy transfer is attributed to resonant third-order interactions with a discussion of the engineering implications. Article in Journal/Newspaper Arctic Technical University of Denmark: DTU Orbit Journal of Offshore Mechanics and Arctic Engineering 142 2 |
institution |
Open Polar |
collection |
Technical University of Denmark: DTU Orbit |
op_collection_id |
ftdtupubl |
language |
English |
topic |
Nonlinear wave mechanics Directional energy transfers wing waves OCEANWAVE3D /dk/atira/pure/sustainabledevelopmentgoals/affordable_and_clean_energy name=SDG 7 - Affordable and Clean Energy |
spellingShingle |
Nonlinear wave mechanics Directional energy transfers wing waves OCEANWAVE3D /dk/atira/pure/sustainabledevelopmentgoals/affordable_and_clean_energy name=SDG 7 - Affordable and Clean Energy Barratt, Dylan Bingham, Harry B. Adcock, Thomas A. A. Nonlinear Evolution of a Steep, Focusing Wave Group in Deep Water Simulated with OceanWave3D |
topic_facet |
Nonlinear wave mechanics Directional energy transfers wing waves OCEANWAVE3D /dk/atira/pure/sustainabledevelopmentgoals/affordable_and_clean_energy name=SDG 7 - Affordable and Clean Energy |
description |
Steep, focusing waves can experience fast and local nonlinear evolution of the spectrum due to wave-wave interactions resulting in energy transfer to both higher and lower wavenumber components. The shape and kinematics of a steep wave may, thus, differ substantially from the predictions of linear theory. We have investigated the role of nonlinear interactions on group shape for a steep, narrow-banded, directionally-spread wave group focusing in deep water using the fully-nonlinear potential flow solver, OceanWave3D. Exact second-order correction of the initial conditions has been implemented together with a novel third-order approximate correction based on a Stokes-type formulation for surface elevation combined with a scaling argument for the third-order velocity potential. Four-phase separation reveals that the third-order scheme provides a good estimate for the third-order superharmonics. A quantitative assessment of numerical error has also been performed for the spatial and temporal discretization, including energy conservation, a reversibility check and validation against previous simulations performed with a higher-order spectral (HOS) code. The initially narrowbanded amplitude spectrum exhibits the formation of sidelobes at angles of approximately ± 35deg to the spectral peak during the simulated extreme wave event, occurring in approximately 10 wave periods, with a preferential energy transfer to highwavenumber components. The directional energy transfer is attributed to resonant third-order interactions with a discussion of the engineering implications. |
format |
Article in Journal/Newspaper |
author |
Barratt, Dylan Bingham, Harry B. Adcock, Thomas A. A. |
author_facet |
Barratt, Dylan Bingham, Harry B. Adcock, Thomas A. A. |
author_sort |
Barratt, Dylan |
title |
Nonlinear Evolution of a Steep, Focusing Wave Group in Deep Water Simulated with OceanWave3D |
title_short |
Nonlinear Evolution of a Steep, Focusing Wave Group in Deep Water Simulated with OceanWave3D |
title_full |
Nonlinear Evolution of a Steep, Focusing Wave Group in Deep Water Simulated with OceanWave3D |
title_fullStr |
Nonlinear Evolution of a Steep, Focusing Wave Group in Deep Water Simulated with OceanWave3D |
title_full_unstemmed |
Nonlinear Evolution of a Steep, Focusing Wave Group in Deep Water Simulated with OceanWave3D |
title_sort |
nonlinear evolution of a steep, focusing wave group in deep water simulated with oceanwave3d |
publishDate |
2020 |
url |
https://orbit.dtu.dk/en/publications/34d52f43-4ecb-4b13-8ce7-2ff6b010f98c https://doi.org/10.1115/1.4044989 https://backend.orbit.dtu.dk/ws/files/193384775/Barratt_et_al_2019_final.pdf |
genre |
Arctic |
genre_facet |
Arctic |
op_source |
Barratt , D , Bingham , H B & Adcock , T A A 2020 , ' Nonlinear Evolution of a Steep, Focusing Wave Group in Deep Water Simulated with OceanWave3D ' , Journal of Offshore Mechanics and Arctic Engineering , vol. 142 , no. 2 , 021201 . https://doi.org/10.1115/1.4044989 |
op_relation |
https://orbit.dtu.dk/en/publications/34d52f43-4ecb-4b13-8ce7-2ff6b010f98c |
op_rights |
info:eu-repo/semantics/openAccess |
op_doi |
https://doi.org/10.1115/1.4044989 |
container_title |
Journal of Offshore Mechanics and Arctic Engineering |
container_volume |
142 |
container_issue |
2 |
_version_ |
1797575023328755712 |