HARMONIC RESONANCE OF SHORT-CRESTED GRAVITY WAVES ON DEEP WATER: ON THEIR PERSISTENCY - Observatoire de la Cote d'Azur
Article Dans Une Revue The ANZIAM Journal Année : 2024

HARMONIC RESONANCE OF SHORT-CRESTED GRAVITY WAVES ON DEEP WATER: ON THEIR PERSISTENCY

Sylvert Paul
Mansour Ioualalen
Connectez-vous pour contacter l'auteur

Résumé

Abstract Three-dimensional short-crested water waves are known to host harmonic resonances (HRs). Their existence depends on their sporadicity versus their persistency. Previous studies, using a unique yet hybrid solution, suggested that HRs exhibit sporadic instability, with the domain of instability exhibiting a bubble-like structure which experiences a loss of stability followed by a re-stabilization. Through the calculation of their complete multiple solution structures and normal forms, we discuss the particular harmonic resonance (2,6). The (2,6) resonance was chosen, not only because it is of lower order, and thus more likely to be significant, but also because it is representative of a fully developed three-dimensional water wave field. Its appearance, growth rate and persistency are discussed. On our converged solutions, we show that, at an incidence angle for which HR (2,6) occurs, the associated superharmonic instability is no longer sporadic. It was also found that the multiple solution operates a subcritical pitchfork bifurcation, so regardless of the value of the control parameter, the wave steepness, a stable branch of the solution always exists. As a result, the analysis reveals two competing processes that either provoke and enhance HRs, or inhibit their appearance and development.
Fichier sous embargo
Fichier sous embargo
0 5 17
Année Mois Jours
Avant la publication
mardi 3 juin 2025
Fichier sous embargo
mardi 3 juin 2025
Connectez-vous pour demander l'accès au fichier

Dates et versions

hal-04816367 , version 1 (03-12-2024)

Identifiants

Citer

Sirel C Colón Useche, Sylvert Paul, Mansour Ioualalen. HARMONIC RESONANCE OF SHORT-CRESTED GRAVITY WAVES ON DEEP WATER: ON THEIR PERSISTENCY. The ANZIAM Journal, 2024, pp.1-16. ⟨10.1017/S1446181124000129⟩. ⟨hal-04816367⟩
0 Consultations
0 Téléchargements

Altmetric

Partager

More