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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Format: | Article |
Language: | English |
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Académie des sciences
2023-08-01
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Series: | Comptes Rendus. Mécanique |
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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. |
format | Article |
id | doaj-art-845253d1ec2243ba89c67d66bfe2c789 |
institution | Kabale University |
issn | 1873-7234 |
language | English |
publishDate | 2023-08-01 |
publisher | Académie des sciences |
record_format | Article |
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/ |
work_keys_str_mv | AT boughazidalila interfacialcapillarygravityshortcrestedwaves AT debianemohammed interfacialcapillarygravityshortcrestedwaves AT allalounabil interfacialcapillarygravityshortcrestedwaves |