Authors:
- 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
Part of the book series: Lecture Notes in Geosystems Mathematics and Computing (LNGMC)
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Table of contents (4 chapters)
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Front Matter
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Back Matter
About this book
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.
Keywords
Authors and Affiliations
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Institute of Computational Technologies of the Siberian Branch of the Russian, Academy of Sciences, Novosibirsk, Russia
Gayaz Khakimzyanov, Zinaida Fedotova, Oleg Gusev
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CNRS - LAMA UMR 5127, Department of Mathematics, University Savoie Mont Blanc, Campus Scientifique, Le Bourget-du-Lac, France
Denys Dutykh
Bibliographic Information
Book Title: Dispersive Shallow Water Waves
Book Subtitle: Theory, Modeling, and Numerical Methods
Authors: Gayaz Khakimzyanov, Denys Dutykh, Zinaida Fedotova, Oleg Gusev
Series Title: Lecture Notes in Geosystems Mathematics and Computing
DOI: https://doi.org/10.1007/978-3-030-46267-3
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2020
Softcover ISBN: 978-3-030-46266-6Published: 16 September 2020
eBook ISBN: 978-3-030-46267-3Published: 15 September 2020
Series ISSN: 2730-5996
Series E-ISSN: 2512-3211
Edition Number: 1
Number of Pages: XX, 284
Number of Illustrations: 13 b/w illustrations, 33 illustrations in colour
Topics: Mathematical Modeling and Industrial Mathematics, Numerical Analysis, Oceanography