Three-dimensional periodic interfacial gravity waves: analytical and numerical results

DOI10.1016/j.euromechflu.2011.04.007zbMath1258.76052OpenAlexW2056939383MaRDI QIDQ1940525

N. Allalou, Debiane, Mohammed, Kharif, Christian

Publication date: 7 March 2013

Published in: European Journal of Mechanics. B. Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.euromechflu.2011.04.007

zbMATH Keywords

perturbation methodPadé approximantsharmonic resonancethree-dimensional interfacial waveswave frequency bifurcation

Mathematics Subject Classification ID

Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Internal waves for incompressible inviscid fluids (76B55)

Related Items

Interfacial wave propagation in initially stressed compressible hyperelastic materials ⋮ On the superharmonic instability of nonlinear three-dimensional interfacial waves of two infinite layers ⋮ Weakly nonlinear gravity three-dimensional unbounded interfacial waves: perturbation method and variational formulation

Cites Work

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• On frequency-amplitude dependences for surface and internal standing waves
• Three-dimensional gravity and gravity-capillary interfacial flows
• Weak oblique collisions of interfacial solitary waves
• On short-crested waves: Experimental and analytical investigations
• Interfacial periodic waves of permanent form with free-surface boundary conditions
• Properties of short-crested waves in water of finite depth
• Weakly nonlinear waves in a stratified fluid: a variational formulation
• Highly nonlinear short-crested water waves
• Almost limiting short-crested gravity waves in deep water
• Overhanging interfacial gravity waves of large amplitude
• The calculation of nonlinear short-crested gravity waves
• Large amplitude progressive interfacial waves
• A semi-analytic solution for nonlinear standing waves in deep water
• Steep standing waves at a fluid interface
• Integral properties of periodic gravity waves of finite amplitude
• Steep gravity waves in water of arbitrary uniform depth
• Third-order approximation to short-crested waves
• Oblique interaction of interfacial solitary waves in a two-layer deep fluid
• Oblique Interactions between Internal Solitary Waves
• Subharmonic resonance of short internal standing waves by progressive surface waves
• On the observability of finite-depth short-crested water waves
• Standing waves on water of uniform depth: on their resonances and matching with short-crested waves
• Computer extension and analytic continuation of Stokes’ expansion for gravity waves
• Oblique interaction of internal solitary waves in a two-layer fluid of infinite depth
• Spatial bifurcations of interfacial waves when the phase and group velocities are nearly equal
• Calculation of resonant short-crested waves in deep water
• Nonlinear three-dimensional interfacial flows with a free surface
• Solitary internal waves in deep water
• On standing internal gravity waves of finite amplitude
• On the shape of progressive internal waves

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