Lecture Notes in Geosystems Mathematics and Computing

Dispersive Shallow Water Waves

Theory, Modeling, and Numerical Methods

Authors: Khakimzyanov, G., Dutykh, D., Fedotova, Z., Gusev, O.

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  • Presents cutting-edge research on dispersive wave modelling, and the numerical methods used to simulate the propagation and generation of long surface water waves
  • Demonstrates state-of-the-art, adaptive techniques for modelling real-world natural phenomena, such as tsunami waves, and smaller scale coastal processes
  • Collects and expands upon the authors’ own research, while providing an overview on existing dispersive models
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eBook 58,84 €
price for Spain (gross)
  • ISBN 978-3-030-46267-3
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
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  • Immediate eBook download after purchase
Softcover 72,79 €
price for Spain (gross)
  • ISBN 978-3-030-46266-6
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this book

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.

Table of contents (4 chapters)

Table of contents (4 chapters)

Buy this book

eBook 58,84 €
price for Spain (gross)
  • ISBN 978-3-030-46267-3
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 72,79 €
price for Spain (gross)
  • ISBN 978-3-030-46266-6
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Dispersive Shallow Water Waves
Book Subtitle
Theory, Modeling, and Numerical Methods
Authors
Series Title
Lecture Notes in Geosystems Mathematics and Computing
Copyright
2020
Publisher
Birkhäuser Basel
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-46267-3
DOI
10.1007/978-3-030-46267-3
Softcover ISBN
978-3-030-46266-6
Series ISSN
2730-5996
Edition Number
1
Number of Pages
XX, 284
Number of Illustrations
13 b/w illustrations, 33 illustrations in colour
Topics