Wave-Generated Current: A Second-Order Formulation
In Stokes’ wave theory, wave numbers are corrected in the third order solution. A change in wave number is also associated with a change in current velocity. Here, it will be argued that the current is the reason for the wave number correction, and that wave-generated current at the mean free surfac...
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Format: | Article |
Language: | English |
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MDPI AG
2020-06-01
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Series: | Journal of Marine Science and Engineering |
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Online Access: | https://www.mdpi.com/2077-1312/8/6/418 |
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author | Anne Katrine Bratland |
author_facet | Anne Katrine Bratland |
author_sort | Anne Katrine Bratland |
collection | DOAJ |
description | In Stokes’ wave theory, wave numbers are corrected in the third order solution. A change in wave number is also associated with a change in current velocity. Here, it will be argued that the current is the reason for the wave number correction, and that wave-generated current at the mean free surface in infinite depth equals half the Stokes drift. To demonstrate the validity of this second-order formulation, comparisons to computational fluid dynamics (CFD) results are shown; to indicate its effect on wave loads on structures, model tests and analyses are compared. |
first_indexed | 2024-03-10T19:17:08Z |
format | Article |
id | doaj.art-9b7f404429b14533b3319938b6ba5023 |
institution | Directory Open Access Journal |
issn | 2077-1312 |
language | English |
last_indexed | 2024-03-10T19:17:08Z |
publishDate | 2020-06-01 |
publisher | MDPI AG |
record_format | Article |
series | Journal of Marine Science and Engineering |
spelling | doaj.art-9b7f404429b14533b3319938b6ba50232023-11-20T03:16:04ZengMDPI AGJournal of Marine Science and Engineering2077-13122020-06-018641810.3390/jmse8060418Wave-Generated Current: A Second-Order FormulationAnne Katrine Bratland0Aker Solutions, Oksenoyveien 8, 1366 Lysaker, NorwayIn Stokes’ wave theory, wave numbers are corrected in the third order solution. A change in wave number is also associated with a change in current velocity. Here, it will be argued that the current is the reason for the wave number correction, and that wave-generated current at the mean free surface in infinite depth equals half the Stokes drift. To demonstrate the validity of this second-order formulation, comparisons to computational fluid dynamics (CFD) results are shown; to indicate its effect on wave loads on structures, model tests and analyses are compared.https://www.mdpi.com/2077-1312/8/6/418wave-generated currentCFDmodel tests |
spellingShingle | Anne Katrine Bratland Wave-Generated Current: A Second-Order Formulation Journal of Marine Science and Engineering wave-generated current CFD model tests |
title | Wave-Generated Current: A Second-Order Formulation |
title_full | Wave-Generated Current: A Second-Order Formulation |
title_fullStr | Wave-Generated Current: A Second-Order Formulation |
title_full_unstemmed | Wave-Generated Current: A Second-Order Formulation |
title_short | Wave-Generated Current: A Second-Order Formulation |
title_sort | wave generated current a second order formulation |
topic | wave-generated current CFD model tests |
url | https://www.mdpi.com/2077-1312/8/6/418 |
work_keys_str_mv | AT annekatrinebratland wavegeneratedcurrentasecondorderformulation |