Most of the Earth's surface is covered by water. Many aspects of our everyday lives and activities may be affected by water waves in some way. Sometimes, the waves can cause disaster. One of the examples was the tsunami that occurred in the Indian Ocean on 26 December 2004. This indicates how important it is for us to fully understand water waves, in particular the very large ones. One way to do so is to perform numerical simulation based on the nonlinear theory. Considerable research advances have been made in this area over the past decade by developing various numerical methods and applying them to emerging problems; however, until now there has been no comprehensive book to reflect these advances. This unique volume aims to bridge this gap.This book contains 18 self-contained chapters written by more than 50 authors from 12 different countries, many of whom are world-leading experts in the field. Each chapter is based mainly on the pioneering work of the authors and their research teams over the past decades. The chapters altogether deal with almost all numerical methods that have been employed so far to simulate nonlinear water waves and cover many important and very interesting applications, such as overturning waves, breaking waves, waves generated by landslides, freak waves, solitary waves, tsunamis, sloshing waves, interaction of extreme waves with beaches, interaction with fixed structures, and interaction with free-response floating structures. Therefore, this book provides a comprehensive overview of the state-of-the-art research and key achievements in numerical modeling of nonlinear water waves, and serves as a unique reference for postgraduates, researchers and senior engineers working in industry.
A Model for Fully Nonlinear Ocean Wave Simulations in Three Dimensions Derived by Using Fourier Inversion of Boundary Integral Equations (J Grue & D Fructus); Numerical Simulations of the Dynamics of Water Waves: Rogue Waves and Frequency Downshifting (C Kharif & J Touboul); Numerical Progress in Fully Nonlinear Potential Flow Modeling of 3D Extreme Ocean Waves (S T Grilli et al.); Time-Domain Simulation of Nonlinear Water Waves Using Spectral Methods (F Bonnefoy et al.); QALE-FEM Method and Its Applications to Simulation of Free-Response Floating Structures and Overturning Waves (Q W Ma & S Yan); Velocity Recovery Techniques in Finite Element Based on MEL Formulation (V Sriram et al.); Method of Fundamental Solutions for Fully Nonlinear Water Waves (D L Young et al.); A Review of Boussinesq Formulations for Water Waves (P A Madsen); Inter-Comparisons of Different Forms of Higher-Order Boussinesq Equations (Z L Zou et al.); Application of the Finite Volume Method to the Simulation of Nonlinear Water Waves (D Greaves); Developments in Multi-Fluid Finite Volume Cartesian Cut Cell Free Surface Capturing Methods (D M Causon et al.); Numerical Computation Methods for Extremely Nonlinear Wave-Body Interactions (M Kashiwagi et al.); Smoothed Particle Hydrodynamics for Nonlinear Water Waves (R A Dalrymple et al.); Modeling Nonlinear Water Waves with Eddy-Viscosity Turbulent SPH Models (R Issa & D Violeau); MLPG R Method and Its Applications to Various Nonlinear Water Waves (Q W Ma); Large Eddy Simulation of Hydrodynamics Generated by Breaking Waves (P Lubin & J-P Caltagirone); Recent Development in Turbulence Models Applied to Unsteady Breaking Waves (Q Zhao & S Armfield); Freak Waves and Their Interaction with Structures (G Clauss).