On three-dimensional long water waves in a channel with sloping sidewalls

DOI10.1017/S0022112090002658zbMath0698.76015OpenAlexW2101439194MaRDI QIDQ3476433

Joseph Mathew, T. R. Akylas

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1017/s0022112090002658

zbMATH Keywords

propagation of long, weakly nonlinear water wavesKadomtsev-Petviashvili (KP) equation appliesnon-rectangular channel cross-sectionsloping sidewallsthree-dimensional upstream disturbanceundular bore in a channel with trapezoidal cross- section

Mathematics Subject Classification ID

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

Related Items (4)

Evolution of long water waves in variable channels ⋮ Edge waves on a longshore shear flow ⋮ Effects of channel cross-sectional geometry on long wave generation and propagation ⋮ Hydroelastic waves propagating in an ice-covered channel

Cites Work

• Solitons in Shallow Seas of Variable Depth and in Marine Straits
• Reflection of a shallow-water soliton. Part 1. Edge layer for shallow-water waves
• Modulation theory solution for resonant flow over topography
• On the excitation of long nonlinear water waves by a moving pressure distribution. Part 2. Three-dimensional effects
• Generation of upstream advancing solitons by moving disturbances
• Edge waves: a long-wave theory for oceans of finite depth
• Solitary internal waves in a rotating channel: A numerical study
• Long waves in a uniform channel of arbitrary cross-section
• Cnoidal waves and bores in uniform channels of arbitrary cross-section

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