Three-dimensional nonlinear solitary waves in shallow water generated by an advancing disturbance

DOI10.1017/S0022112002001568zbMath1026.76008OpenAlexW2333074487MaRDI QIDQ4409282

Paul D. Sclavounos, Yile Li

Publication date: 15 December 2003

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

Full work available at URL: https://doi.org/10.1017/s0022112002001568

zbMATH Keywords

shallow watergeneralized Boussinesq equationKelvin wavesupercritical speedimplicit finite difference algorithmthree-dimensional upstream solitary waves

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Solitary waves for incompressible inviscid fluids (76B25)

Related Items

Waves induced by a two-dimensional foil advancing in shallow water ⋮ Weakly two-dimensional interaction of solitons in shallow water ⋮ Nonlinear travelling waves on a spiralling liquid jet ⋮ Soliton resonance of the \((2+1)\)-dimensional Boussinesq equation for gravity water waves ⋮ Study on the head-on collisions of two-dimensional trains of solitons ⋮ Evolution of truncated and bent gravity wave solitons: the Mach expansion problem ⋮ Interaction of Kadomtsev-Petviashvili solitons with unequal amplitudes ⋮ A brief history of mathematical ship-squat prediction, focussing on the contributions of E. O. Tuck ⋮ Extreme elevations and slopes of interacting solitons in shallow water ⋮ Ships advancing near the critical speed in a shallow channel with a randomly uneven bed ⋮ Numerical simulations of inviscid and viscous free-surface flows with application to nonlinear water waves ⋮ Soliton Interactions of the Kadomtsev-Petviashvili Equation and Generation of Large-Amplitude Water Waves