Nonlinear Water Waves

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.