Description 
1 online resource (296 pages) 
Series 
Lecture notes in geosystems mathematics and computing 

Lecture notes in geosystems mathematics and computing

Contents 
Model Derivation on a Globally Flat Space  Numerical Simulation on a Globally Flat Space  Model Derivation on a Globally Spherical Geometry  Numerical Simulation on a Globally Spherical Geometry 
Summary 
This monograph presents cuttingedge 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 uptodate 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 highend 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 
Bibliography 
Includes bibliographical references and author index 
Notes 
Online resource; title from PDF title page (SpringerLink, viewed on October 23, 2020) 
Subject 
Wavemotion, Theory of.


Mathematical models.


Fluid dynamics.


Numerical analysis.


Oceanography.


Models, Theoretical


Hydrodynamics


Oceanography


mathematical models.


oceanography.


Numerical analysis.


Oceanography (seas)


Mathematical modelling.


Mathematics  Number Systems.


Science  Earth Sciences  Oceanography.


Mathematics  Applied.


Modelos matemáticos


Matemáticas  Números , Teoría de


Fluid dynamics


Mathematical models


Numerical analysis


Oceanography


Wavemotion, Theory of

Form 
Electronic book

Author 
Dutykh, Denys, author


Fedotova, Zinaida, author


Gusev, Oleg, author

ISBN 
9783030462673 

3030462676 
