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Numerical Methods for Shallow-Water Flow

By: C.B. Vreugdenhil

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Hardcover | 31 October 1994

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Hardcover
276 Pages

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23.39 x 15.6 x 1.75

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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.

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Published: 8th December 2010

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Preface
Acknowledgements
Shallow-water flows	p. 1
Equations	p. 15
Some properties	p. 47
Behaviour of solutions	p. 56
Boundary conditions	p. 73
Discretization in space	p. 89
Effects of space discretization on wave propagation	p. 117
Time integration methods	p. 139
Effect of time discretization on wave propagation	p. 168
Numerical treatment of boundary conditions	p. 196
Three-dimensional shallow-water flow	p. 217
List of notation	p. 247
References	p. 249
Index	p. 259
Table of Contents provided by Blackwell. All Rights Reserved.

Numerical Methods for Shallow-Water Flow

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Hardcover

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