A Generalized Two–Scale Approximation for Ocean Wave Models

The two-scale approximation (hereafter, TSA) was previously presented as a new method to approximate and estimate transfer rates in wind – wave spectra. It was shown to perform well for a variety of idealized and observed sea state conditions and to compare well with respect to the total Boltzmann i...

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Main Authors: William Perrie, Bechara Toulany, Michael Casey
Format: Article
Language:English
Published: Frontiers Media S.A. 2022-06-01
Series:Frontiers in Marine Science
Subjects:
Online Access:https://www.frontiersin.org/articles/10.3389/fmars.2022.867423/full
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author William Perrie
Bechara Toulany
Michael Casey
author_facet William Perrie
Bechara Toulany
Michael Casey
author_sort William Perrie
collection DOAJ
description The two-scale approximation (hereafter, TSA) was previously presented as a new method to approximate and estimate transfer rates in wind – wave spectra. It was shown to perform well for a variety of idealized and observed sea state conditions and to compare well with respect to the total Boltzmann integral for nonlinear quadruplet wave-wave interactions. Here, we present a generalized formulation of TSA, allowing for multiple peaked spectra, sheared spectra, sea – swell combinations, etc. This formulation is implemented in a modern operational wave model, WAVEWATCHIII™, and shown to provide a significant improvement over the standard approximation used in wave models, the discrete interaction approximation (DIA). Additional tests involve the simulation of waves generated in Hurricane Teddy (2020).
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spelling doaj.art-5fcb85db15b44452b71dd8afa4912e922022-12-22T02:41:03ZengFrontiers Media S.A.Frontiers in Marine Science2296-77452022-06-01910.3389/fmars.2022.867423867423A Generalized Two–Scale Approximation for Ocean Wave ModelsWilliam PerrieBechara ToulanyMichael CaseyThe two-scale approximation (hereafter, TSA) was previously presented as a new method to approximate and estimate transfer rates in wind – wave spectra. It was shown to perform well for a variety of idealized and observed sea state conditions and to compare well with respect to the total Boltzmann integral for nonlinear quadruplet wave-wave interactions. Here, we present a generalized formulation of TSA, allowing for multiple peaked spectra, sheared spectra, sea – swell combinations, etc. This formulation is implemented in a modern operational wave model, WAVEWATCHIII™, and shown to provide a significant improvement over the standard approximation used in wave models, the discrete interaction approximation (DIA). Additional tests involve the simulation of waves generated in Hurricane Teddy (2020).https://www.frontiersin.org/articles/10.3389/fmars.2022.867423/fullocean surface wavesnonlinear wave-wave interactionstwo-scale approximationwind-generated wavesWAVEWATCHIII (WW3) wave model
spellingShingle William Perrie
Bechara Toulany
Michael Casey
A Generalized Two–Scale Approximation for Ocean Wave Models
Frontiers in Marine Science
ocean surface waves
nonlinear wave-wave interactions
two-scale approximation
wind-generated waves
WAVEWATCHIII (WW3) wave model
title A Generalized Two–Scale Approximation for Ocean Wave Models
title_full A Generalized Two–Scale Approximation for Ocean Wave Models
title_fullStr A Generalized Two–Scale Approximation for Ocean Wave Models
title_full_unstemmed A Generalized Two–Scale Approximation for Ocean Wave Models
title_short A Generalized Two–Scale Approximation for Ocean Wave Models
title_sort generalized two scale approximation for ocean wave models
topic ocean surface waves
nonlinear wave-wave interactions
two-scale approximation
wind-generated waves
WAVEWATCHIII (WW3) wave model
url https://www.frontiersin.org/articles/10.3389/fmars.2022.867423/full
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