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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.

Détails
Auteur
Denys  Dutykh , Zinaida  Fedotova , Oleg  Gusev , Gayaz  Khakimzyanov
Marque
Birkhäuser
Collection
Lecture Notes in Geosystems Mathematics and Computing
Parution
2020-09-15
Pages
284 pages
EAN papier
9783030462666
Langue
Anglais
Informations ebook
EAN PDF
9783030462673
Prix
85,59 €
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Nb pages copiables 2
Nb pages imprimables 28
Taille du fichier 15985 Ko
Ce livre est accessible aux handicaps   Informations sur l'accessibilité
EAN EPUB
9783030462673
Prix
85,59 €
En savoir plus
Nb pages copiables 2
Nb pages imprimables 28
Taille du fichier 27412 Ko
Ce livre est accessible aux handicaps   Informations sur l'accessibilité
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