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About this book
A wide variety of problems are associated with the flow of shallow water, such as atmospheric flows, tides, storm surges, river and coastal flows, lake flows, tsunamis. Numerical simulation is an effective tool in solving them and a great variety of numerical methods are available. The first part of the book summarizes the basic physics of shallow-water flow needed to use numerical methods under various conditions. The second part gives an overview of possible numerical methods, together with their stability and accuracy properties as well as with an assessment of their performance under various conditions. This enables the reader to select a method for particular applications. Correct treatment of boundary conditions (often neglected) is emphasized. The major part of the book is about two-dimensional shallow-water equations but a discussion of the 3-D form is included.
The book is intended for researchers and users of shallow-water models in oceanographic and meteorological institutes, hydraulic engineering and consulting. It also provides a major source of information for applied and numerical mathematicians.
The book is intended for researchers and users of shallow-water models in oceanographic and meteorological institutes, hydraulic engineering and consulting. It also provides a major source of information for applied and numerical mathematicians.
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Table of contents (11 chapters)
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Front Matter
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Back Matter
Authors and Affiliations
Bibliographic Information
Book Title: Numerical Methods for Shallow-Water Flow
Authors: C. B. Vreugdenhil
Series Title: Water Science and Technology Library
DOI: https://doi.org/10.1007/978-94-015-8354-1
Publisher: Springer Dordrecht
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eBook Packages: Springer Book Archive
Copyright Information: Springer Science+Business Media B.V. 1994
Hardcover ISBN: 978-0-7923-3164-3Published: 31 October 1994
Softcover ISBN: 978-90-481-4472-3Published: 08 December 2010
eBook ISBN: 978-94-015-8354-1Published: 09 March 2013
Series ISSN: 0921-092X
Series E-ISSN: 1872-4663
Edition Number: 1
Number of Pages: X, 262
Topics: Hydrogeology, Condensed Matter Physics, Oceanography, Geoengineering, Foundations, Hydraulics, Computational Mathematics and Numerical Analysis, Atmospheric Sciences