Parasitic Capillary Waves on Small-Amplitude Gravity Waves with a Linear Shear Current

This paper describes a numerical investigation of ripples generated on the front face of deep-water gravity waves progressing on a vertically sheared current with the linearly changing horizontal velocity distribution, namely parasitic capillary waves with a linear shear current. A method of fully n...

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Autores principales:	Sunao Murashige, Wooyoung Choi
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	water waves gravity-capillary waves shear current fully nonlinear computation conformal mapping Naval architecture. Shipbuilding. Marine engineering VM1-989 Oceanography GC1-1581
Acceso en línea:	https://doaj.org/article/0cfc9c0b33024b4994e15ef72748c667
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id	oai:doaj.org-article:0cfc9c0b33024b4994e15ef72748c667
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spelling	oai:doaj.org-article:0cfc9c0b33024b4994e15ef72748c6672021-11-25T18:04:26ZParasitic Capillary Waves on Small-Amplitude Gravity Waves with a Linear Shear Current10.3390/jmse91112172077-1312https://doaj.org/article/0cfc9c0b33024b4994e15ef72748c6672021-11-01T00:00:00Zhttps://www.mdpi.com/2077-1312/9/11/1217https://doaj.org/toc/2077-1312This paper describes a numerical investigation of ripples generated on the front face of deep-water gravity waves progressing on a vertically sheared current with the linearly changing horizontal velocity distribution, namely parasitic capillary waves with a linear shear current. A method of fully nonlinear computation using conformal mapping of the flow domain onto the lower half of a complex plane enables us to obtain highly accurate solutions for this phenomenon with the wide range of parameters. Numerical examples demonstrated that, in the presence of a linear shear current, the curvature of surface of underlying gravity waves depends on the shear strength, the wave energy can be transferred from gravity waves to capillary waves and parasitic capillary waves can be generated even if the wave amplitude is very small. In addition, it is shown that an approximate model valid for small-amplitude gravity waves in a linear shear current can reasonably well reproduce the generation of parasitic capillary waves.Sunao MurashigeWooyoung ChoiMDPI AGarticlewater wavesgravity-capillary wavesshear currentfully nonlinear computationconformal mappingNaval architecture. Shipbuilding. Marine engineeringVM1-989OceanographyGC1-1581ENJournal of Marine Science and Engineering, Vol 9, Iss 1217, p 1217 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	water waves gravity-capillary waves shear current fully nonlinear computation conformal mapping Naval architecture. Shipbuilding. Marine engineering VM1-989 Oceanography GC1-1581
spellingShingle	water waves gravity-capillary waves shear current fully nonlinear computation conformal mapping Naval architecture. Shipbuilding. Marine engineering VM1-989 Oceanography GC1-1581 Sunao Murashige Wooyoung Choi Parasitic Capillary Waves on Small-Amplitude Gravity Waves with a Linear Shear Current
description	This paper describes a numerical investigation of ripples generated on the front face of deep-water gravity waves progressing on a vertically sheared current with the linearly changing horizontal velocity distribution, namely parasitic capillary waves with a linear shear current. A method of fully nonlinear computation using conformal mapping of the flow domain onto the lower half of a complex plane enables us to obtain highly accurate solutions for this phenomenon with the wide range of parameters. Numerical examples demonstrated that, in the presence of a linear shear current, the curvature of surface of underlying gravity waves depends on the shear strength, the wave energy can be transferred from gravity waves to capillary waves and parasitic capillary waves can be generated even if the wave amplitude is very small. In addition, it is shown that an approximate model valid for small-amplitude gravity waves in a linear shear current can reasonably well reproduce the generation of parasitic capillary waves.
format	article
author	Sunao Murashige Wooyoung Choi
author_facet	Sunao Murashige Wooyoung Choi
author_sort	Sunao Murashige
title	Parasitic Capillary Waves on Small-Amplitude Gravity Waves with a Linear Shear Current
title_short	Parasitic Capillary Waves on Small-Amplitude Gravity Waves with a Linear Shear Current
title_full	Parasitic Capillary Waves on Small-Amplitude Gravity Waves with a Linear Shear Current
title_fullStr	Parasitic Capillary Waves on Small-Amplitude Gravity Waves with a Linear Shear Current
title_full_unstemmed	Parasitic Capillary Waves on Small-Amplitude Gravity Waves with a Linear Shear Current
title_sort	parasitic capillary waves on small-amplitude gravity waves with a linear shear current
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/0cfc9c0b33024b4994e15ef72748c667
work_keys_str_mv	AT sunaomurashige parasiticcapillarywavesonsmallamplitudegravitywaveswithalinearshearcurrent AT wooyoungchoi parasiticcapillarywavesonsmallamplitudegravitywaveswithalinearshearcurrent
_version_	1718411662406451200

Parasitic Capillary Waves on Small-Amplitude Gravity Waves with a Linear Shear Current

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