Dispersive Shallow Water Waves
Title | Dispersive Shallow Water Waves PDF eBook |
Author | Gayaz Khakimzyanov |
Publisher | Springer Nature |
Pages | 296 |
Release | 2020-09-15 |
Genre | Mathematics |
ISBN | 3030462676 |
This monograph presents cutting-edge research on dispersive wave modelling, and the numerical methods used to simulate the propagation and generation of long surface water waves. Including both an overview of existing dispersive models, as well as recent breakthroughs, the authors maintain an ideal balance between theory and applications. From modelling tsunami waves to smaller scale coastal processes, this book will be an indispensable resource for those looking to be brought up-to-date in this active area of scientific research. Beginning with an introduction to various dispersive long wave models on the flat space, the authors establish a foundation on which readers can confidently approach more advanced mathematical models and numerical techniques. The first two chapters of the book cover modelling and numerical simulation over globally flat spaces, including adaptive moving grid methods along with the operator splitting approach, which was historically proposed at the Institute of Computational Technologies at Novosibirsk. Later chapters build on this to explore high-end mathematical modelling of the fluid flow over deformed and rotating spheres using the operator splitting approach. The appendices that follow further elaborate by providing valuable insight into long wave models based on the potential flow assumption, and modified intermediate weakly nonlinear weakly dispersive equations. Dispersive Shallow Water Waves will be a valuable resource for researchers studying theoretical or applied oceanography, nonlinear waves as well as those more broadly interested in free surface flow dynamics.
Perturbation of Dispersive Shallow Water Waves
Title | Perturbation of Dispersive Shallow Water Waves PDF eBook |
Author | Polina Razborova |
Publisher | |
Pages | 26 |
Release | 2013 |
Genre | Solitons |
ISBN |
Twenty-Second Symposium on Naval Hydrodynamics
Title | Twenty-Second Symposium on Naval Hydrodynamics PDF eBook |
Author | National Research Council |
Publisher | National Academies Press |
Pages | 1039 |
Release | 2000-03-02 |
Genre | Science |
ISBN | 0309065372 |
The Twenty-Second Symposium on Naval Hydrodynamics was held in Washington, D.C., from August 9-14, 1998. It coincided with the 100th anniversary of the David Taylor Model Basin. This international symposium was organized jointly by the Office of Naval Research (Mechanics and Energy Conversion S&T Division), the National Research Council (Naval Studies Board), and the Naval Surface Warfare Center, Carderock Division (David Taylor Model Basin). This biennial symposium promotes the technical exchange of naval research developments of common interest to all the countries of the world. The forum encourages both formal and informal discussion of the presented papers, and the occasion provides an opportunity for direct communication between international peers.
Nonlinear, Dispersive, Shallow-water Waves Developed by a Moving Bed
Title | Nonlinear, Dispersive, Shallow-water Waves Developed by a Moving Bed PDF eBook |
Author | Marc Villeneuve |
Publisher | |
Pages | 142 |
Release | 1989 |
Genre | |
ISBN |
The Water Waves Problem
Title | The Water Waves Problem PDF eBook |
Author | David Lannes |
Publisher | American Mathematical Soc. |
Pages | 347 |
Release | 2013-05-08 |
Genre | Mathematics |
ISBN | 0821894706 |
This monograph provides a comprehensive and self-contained study on the theory of water waves equations, a research area that has been very active in recent years. The vast literature devoted to the study of water waves offers numerous asymptotic models.
Introduction to Water Waves
Title | Introduction to Water Waves PDF eBook |
Author | Gordon David Crapper |
Publisher | |
Pages | 232 |
Release | 1984 |
Genre | Science |
ISBN |
Extreme Ocean Waves
Title | Extreme Ocean Waves PDF eBook |
Author | Efim Pelinovsky |
Publisher | Springer |
Pages | 242 |
Release | 2015-09-02 |
Genre | Science |
ISBN | 3319215752 |
This revised and updated second edition details the vast progress that has been achieved in the understanding of the physical mechanisms of rogue wave phenomenon in recent years. The selected articles address such issues as the formation of rogue waves due to modulational instability of nonlinear wave field, physical and statistical properties of extreme ocean wave generation in deep water as well as in shallow water, various models of nonlinear water waves, special analysis of nonlinear resonances between water waves and the relation between in situ observations, experimental data and rogue wave theories. In addition, recent results on tsunami waves due to subaerial landslides are presented. This book is written for specialists in the fields of fluid mechanics, applied mathematics, nonlinear physics, physical oceanography and geophysics, and for students learning these subjects.