This review volume is divided into two parts. The first part includes five review papers on various numerical models. Pedersen provides a brief but thorough review of the theoretical background for depth-integrated wave equations, which are employed to simulate tsunami runup. LeVeque and George describe high-resolution finite volume methods for solving the nonlinear shallow water equations. The focus of their discussion is on the applications of these methods to tsunami runup.In recent years, several advanced 3D numerical models have been introduced to the field of coastal engineering to calculate breaking waves and wave-structure interactions. These models are still under development and are at different stages of maturity. Rogers and Dalrymple discuss the Smooth Particles Hydrodynamics (SPH) method, which is a meshless method. Wu and Liu present their Large Eddy Simulation (LES) model for simulating the landslide-generated waves. Finally, Frandsen introduces the lattice Boltzmann method with the consideration of a free surface.The second part of the review volume contains the descriptions of the benchmark problems with eleven extended abstracts submitted by the workshop participants. All these papers are compared with their numerical results with benchmark solutions.

This monograph aims at presenting a unified approach to numerical modeling of tsunami as long waves based on finite difference methods for 1D, 2D and 3D generation processes, propagation, and runup. Many practical examples give insight into the relationship between long wave physics and numerical solutions and allow readers to quickly pursue and develop specific topics in greater depth. The aim of this book is to start from basics and then continue into applications. This approach should serve well the needs of researchers and students of physics, physical oceanography, ocean/civil engineers, computer science, and emergency management staff. Chapter 2 is particularly valuable as it fully describes the application of finite-difference methods to the study of long waves by demonstrating how physical properties of water waves, especially phase velocity, are connected to the chosen numerical algorithm. Basic notions of numerical methods, i.e. approximation of the relevant differential equations, stability of the numerical scheme, and computational errors are explained through application to long waves. Finite-difference methods are further developed in major chapters to deal with complex problems that arise in the study of recent tsunamis.

This solutions manual is a companion to the workbook, Practical Numerical Mathematics with MATLAB: A workbook. It is intended for use by individual students independently studying the workbook and provides complete MATLAB code and numerical results for each of the exercises in the workbook and will be especially useful for those students without previous MATLAB programming experience. It is also valuable for classroom instructors to help pinpoint the author's intent in each exercise and to provide a model for graders.

The tragedy of the 2004 Indian Ocean tsunami has led to a rapid expansion in science directed at understanding tsunami and mitigating their hazard. A remarkable cross-section of this research was presented in the session: Tsunami Generation and Hazard, at the International Union of Geodesy and Geophysics XXIV General Assembly in Perugia, held in July of 2007. Over one hundred presentations were made at this session, spanning topics ranging from paleotsunami research, to nonlinear shallow-water theory, to tsunami hazard and risk assessment. A selection of this work, along with other contributions from leading tsunami scientists, is published in detail in the 28 papers of this special issue of Pure and Applied Geophysics: Tsunami Science Four Years After the Indian Ocean Tsunami. Part I of this issue includes 14 papers covering the state-of-the-art in tsunami modelling and hazard assessment. Another 14 papers are published in Part II focusing on observations and data analysis.

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.

It is a comprehensive and well illustrated textbook on all aspects of tsunami. I don't think there is any other book on the topic published. As one bookseller said after the Indian Ocean tsunami event, "I would have just filled my front window with copies and they would have walked out the store." This statement was just as relevant after the Japanese tsunami of 2011 and will be as relevant when the next large tsunami event happens, sooner rather than later. The book can be used by a student or layperson to gain encyclopedic knowledge about tsunami.

This book is a collection of contribution from experts involved in tsunami study for the purpose of covering its different aspects from generation to warning system to be applied in tsunami risk reduction. The presented chapters have been peer reviewed and accepted for publication. The content of the book consists of information on tsunami propagation from the open sea to the coast and coastal tsunami warning using deployed HF radar systems in different parts of North America and Japan. In this book, tsunami propagation, preliminary methods for evaluating the suitability of radar sites for tsunami detection using simulated tsunami velocities and factors affecting tsunami detectability are discussed and methods for reducing the false alarms are described. It further covers multi-scale meteorological systems resulted in meteo-tsunami and tsunami generation due to a landslide or a submarine volcanic eruption, where few case studies have been presented. The occurrence and characteristics of tsunami in Sweden, using paleo-tsunami events from different parts of the Scandinavia and finally challenges and opportunities for reducing losses to fast-arriving tsunamis in remote villages along Pakistan coast, with few examples are also discussed.