Nonlinear Water Waves, Softcover reprint of the original 1st ed. 1988 IUTAM Symposium, Tokyo/Japan, August 25-28, 1987 Coll. IUTAM Symposia

Non-linear behaviour of water waves has recently drawn much attention of scientists and engineers in the fields of oceanography, applied mathematics, coastal engineering, ocean engineering, naval architecture, and others. The IUTAM Symposium on Non-linear Water Waves was organized with the aim of bringing together researchers who are actively studying non-linear water waves from various viewpoints. The papers contained in this book are related to the generation and deformation of non-linear water waves and the non-linear interaction between waves and bodies. That is, various types of non-linear water waves were analyzed on the basis of various well-known equations, experimental studies on breaking waves were presented, and numerical studies of calculating second-order non-linear wave-body interaction were proposed.

Keynote lecture.- Nonlinear effects in water wave diffraction.- Recent developments in the modeling of unsteady and breaking water waves.- Second order nonlinear interactions between waves and low frequency body motion.- Session 1: Evolution of nonlinear water waves.- Evolutional behaviour and instability of a single wave packet.- On the initial evolution of gravity-capillary waves.- Session 2: Nonlinear shallow water waves.- Nonlinear forced water waves in a shallow channel near a cut-off frequency.- Precursor solitons generated by three-dimensional disturbances moving in a channel.- Asymptotic behavior of a shallow-water soliton reflected at a sloping beach.- Normal form and solitons in the shallow water waves.- Energy distribution of shallow water swell under the maximum probability condition.- Session 3: Nonlinear water waves in a finite region.- Experimental and numerical study of long-time evolution of standing waves in a rectangular tank.- Nonlinear waves in circular basins.- Numerical analysis of wave motion using the Lagrangian description.- Transient approaches of nonlinearities in naval hydrodynamics.- The theoretical studies on nonlinear standing waves.- Session 4: Breaking water waves.- Critical condition for the appearance of steady breakers on 2-dimensional wave generated by submerged foil.- Surging characteristics of spilling zones of quasi-steady breaking water waves.- Steady and unsteady spilling breakers: theory.- Surf zone breakers with current.- Session 5: Nonlinear water waves.- Subharmonic resonance of nonlinear cross-waves: Theory and experiment.- Pulse interactions and wave evolutions in an unstable dissipative dispersive system.- Nonlinear wave deformation on a beach with arbitrary profile.- Application of Hamiltonian methods to the structure and stability of water waves of permanent form.- Session 6: Wave-current interaction and interfacial waves.- Effects of velocity shear on the stability of surface deep water wave trains.- Large amplitude interfacial solitary waves.- Session 7: Second-order wave-body interaction.- Nonlinear hydrodynamic forces due to two-dimensional forced oscillation.- Nonlinear diffraction loads upon three-dimensional bodies of arbitrary shape.- On calculations of nonlinear wave-body interaction effects.- Session 8: Slow-drift wave force.- Second-order wave forces acting on a horizontal circular cylinder in irregular waves.- Slow drift and trapping of waves on submerged bodies.- Slowly varying wave drift forces in current.- Second-order hydrodynamic forces on moored vessels in random waves.- Session 9: Body-induced nonlinear water waves.- Nonlinear ship waves at low Froude number.- On stationary waves superposed to the flow around a body in uniform stream.- Session 10: Second-order nonlinear water waves.- Second-order waves-Importance in experiment and nature.- Deformation of the two-dimensional low-frequency wave spectrum in the shallow water region.- Poster session 1: Nonlinear water waves.- An experimental investigation into nonlinear resonant wave interactions in the ship model basin.- Simulation of wave-spectra with Boussinesq-type wave equations.- One-dimensional and weakly two-dimensional waves in varying channels: numerical examples.- A theoretical and experimental study of precursor solitary waves generated by moving disturbances.- Instability and breaking of a solitary wave.- The turbulent flow fields and vortex structures inside surf zone.- Poster session 2: Nonlinear wave-body interaction.- Nonlinear instability waves in channels and jets.- Long internal waves of large amplitude.- Transmission and reflection of a planar soliton.- Nonlinear interaction of waves and vertical wall.- Superharmonic waves generated by the large amplitude heaving motion of a submerged body.- A new approach to nonlinear waves generated by a body moving steadily at a free surface.- Extreme wave forces acting on a floating structure.- Large slow drift of a ship in slightly modulated beam seas.- The statistics of slow drift oscillations with nonlinear restoring forces.