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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Main Author: Anne Katrine Bratland
Format: Article
Language:English
Published: MDPI AG 2020-06-01
Series:Journal of Marine Science and Engineering
Subjects:
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.
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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