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Numerical Methods for Shallow-Water Flow : Water Science and Technology Library - C.B. Vreugdenhill

Numerical Methods for Shallow-Water Flow

Water Science and Technology Library

Hardcover Published: 31st October 1994
ISBN: 9780792331643
Number Of Pages: 262

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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.

Preface
Acknowledgements
Shallow-water flowsp. 1
Equationsp. 15
Some propertiesp. 47
Behaviour of solutionsp. 56
Boundary conditionsp. 73
Discretization in spacep. 89
Effects of space discretization on wave propagationp. 117
Time integration methodsp. 139
Effect of time discretization on wave propagationp. 168
Numerical treatment of boundary conditionsp. 196
Three-dimensional shallow-water flowp. 217
List of notationp. 247
Referencesp. 249
Indexp. 259
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780792331643
ISBN-10: 0792331648
Series: Water Science and Technology Library
Audience: General
Format: Hardcover
Language: English
Number Of Pages: 262
Published: 31st October 1994
Publisher: SPRINGER VERLAG GMBH
Country of Publication: NL
Dimensions (cm): 24.23 x 16.76  x 2.18
Weight (kg): 0.58

Earn 519 Qantas Points
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