This unique compendium introduces the field of numerical modelling of water waves. The topics included the most widely used water wave modelling approaches, presented in increasing order of complexity and categorized into phase-averaged and phase-resolving at the highest level. A comprehensive state-of-the-art review is provided for each chapter, comprising the historical development of the method, the most relevant models and their practical applications. A full description on the method's underlying assumptions and limitations are also provided. The final chapter features coupling among different models, outlining the different types of implementations, highlighting their pros and cons, and providing numerous relevant examples for full context. The useful reference text benefits professionals, researchers, academics, graduate and undergraduate students in wave mechanics in general and coastal and ocean engineering in particular. Sample Chapter(s) Foreword Chapter 1: Introduction Contents: Introduction Phase-Averaging Approaches: Spectral Wave Models Phase-Resolving Approaches: Depth-Averaged Models Potential Flow Models Navier–Stokes Models Lattice–Boltzmann Models Wave Modeling Couplings: Couplings Between Wave Models Executive Summary Readership: Researchers, professionals, academics, undergraduate and graduate students in ocean/coastal engineering and fluid mechanics.