Interfacial capillary–gravity short-crested waves

This paper presents a method derived from Whitham’s variational formulation of the problem of interfacial capillary–gravity short-crested waves. It is developed for the resolution of the problem of waves generated by obliquely reflecting interfacial waves from a vertical wall. In essence, Whitham’s...

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Main Authors: Boughazi, Dalila, Debiane, Mohammed, Allalou, Nabil
Format: Article
Language:English
Published: Académie des sciences 2023-08-01
Series:Comptes Rendus. Mécanique
Subjects:
Online Access:https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.221/
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author Boughazi, Dalila
Debiane, Mohammed
Allalou, Nabil
author_facet Boughazi, Dalila
Debiane, Mohammed
Allalou, Nabil
author_sort Boughazi, Dalila
collection DOAJ
description This paper presents a method derived from Whitham’s variational formulation of the problem of interfacial capillary–gravity short-crested waves. It is developed for the resolution of the problem of waves generated by obliquely reflecting interfacial waves from a vertical wall. In essence, Whitham’s method is not changed, but computations are performed and arranged to produce a method that has been applied to a number of cases demonstrating the effectiveness and the flexibility of the approach. The performance of the method is illustrated in several examples including the case of harmonic resonance.
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issn 1873-7234
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publisher Académie des sciences
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series Comptes Rendus. Mécanique
spelling doaj-art-845253d1ec2243ba89c67d66bfe2c7892025-02-07T13:47:15ZengAcadémie des sciencesComptes Rendus. Mécanique1873-72342023-08-01351G231533410.5802/crmeca.22110.5802/crmeca.221Interfacial capillary–gravity short-crested wavesBoughazi, Dalila0Debiane, Mohammed1Allalou, Nabil2USTHB, Faculté de physique, BP 32 El Alia Alger, Algérie; Université M’Hamed Bougara, Faculté des Sciences, Siège (Ex. INIL) Boumerdès 35000, AlgérieUSTHB, Faculté de physique, BP 32 El Alia Alger, AlgérieUSTHB, Faculté de physique, BP 32 El Alia Alger AlgérieThis paper presents a method derived from Whitham’s variational formulation of the problem of interfacial capillary–gravity short-crested waves. It is developed for the resolution of the problem of waves generated by obliquely reflecting interfacial waves from a vertical wall. In essence, Whitham’s method is not changed, but computations are performed and arranged to produce a method that has been applied to a number of cases demonstrating the effectiveness and the flexibility of the approach. The performance of the method is illustrated in several examples including the case of harmonic resonance.https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.221/Short-crested interfacial wavesGravityCapillarityArbitrary depthsResonance
spellingShingle Boughazi, Dalila
Debiane, Mohammed
Allalou, Nabil
Interfacial capillary–gravity short-crested waves
Comptes Rendus. Mécanique
Short-crested interfacial waves
Gravity
Capillarity
Arbitrary depths
Resonance
title Interfacial capillary–gravity short-crested waves
title_full Interfacial capillary–gravity short-crested waves
title_fullStr Interfacial capillary–gravity short-crested waves
title_full_unstemmed Interfacial capillary–gravity short-crested waves
title_short Interfacial capillary–gravity short-crested waves
title_sort interfacial capillary gravity short crested waves
topic Short-crested interfacial waves
Gravity
Capillarity
Arbitrary depths
Resonance
url https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.221/
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