Effects of slowly varying depth and current on the evolution of a Stokes wavepacket

DOI10.1017/S0022112083001445zbMath0533.76016MaRDI QIDQ3316800

Chakib Benmoussa, Françcois-Marc Turpin, Chiang C. Mei

Publication date: 1983

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

zbMATH Keywords

method of multiple scaleslinear stabilityone-dimensional modelslowly varying depthwave envelopeevolution of a wave group propagating over waternonlinear Schrödinger equation with slowly varying coefficientsprescribed depth and current variationslowly varying current

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Basic methods in fluid mechanics (76M99)

Related Items (11)

Freak wave in a two-dimensional directional wavefield with bottom topography change. Part 1. Normal incidence wave ⋮ A MODIFICATION TO THE SCHRÖDINGER EQUATION FOR BROADER BANDWIDTH GRAVITY-CAPILLARY WAVES ON DEEP WATER WITH DEPTH-UNIFORM CURRENT ⋮ Trapped waves on jet currents: asymptotic modal approach ⋮ Freak wave statistics on collinear currents ⋮ The modulational theory of nonlinear gravity-wave in fluid with varying depth and nonuniform current ⋮ The Benjamin-Feir instability of a deep-water Stokes wavepacket in the presence of a non-uniform medium ⋮ A variational approach to Boussinesq modelling of fully nonlinear water waves ⋮ Nonlinear transformation of waves in finite water depth ⋮ A fully nonlinear numerical method for modeling wave-current interactions ⋮ Laboratory observations of wave evolution, modulation and blocking due to spatially varying opposing currents ⋮ Shoaling of nonlinear wave-groups on water of slowly varying depth

Cites Work

• On the development of packets of surface gravity waves moving over an uneven bottom
• On three-dimensional packets of surface waves
• The disintegration of wave trains on deep water Part 1. Theory
• On slowly-varying Stokes waves

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