Numerical Methods for Shallow-Water Flow

  • C. B. Vreugdenhil

Part of the Water Science and Technology Library book series (WSTL, volume 13)

Table of contents

  1. Front Matter
    Pages i-x
  2. C. B. Vreugdenhil
    Pages 1-14
  3. C. B. Vreugdenhil
    Pages 15-46
  4. C. B. Vreugdenhil
    Pages 47-55
  5. C. B. Vreugdenhil
    Pages 56-72
  6. C. B. Vreugdenhil
    Pages 73-88
  7. C. B. Vreugdenhil
    Pages 89-116
  8. C. B. Vreugdenhil
    Pages 117-138
  9. C. B. Vreugdenhil
    Pages 139-167
  10. C. B. Vreugdenhil
    Pages 168-195
  11. C. B. Vreugdenhil
    Pages 196-216
  12. C. B. Vreugdenhil
    Pages 217-246
  13. Back Matter
    Pages 247-262

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.


Coast Ocean Storm Storm surge Tide

Authors and affiliations

  • C. B. Vreugdenhil
    • 1
  1. 1.Institute for Marine and Atmospheric Research Utrecht (IMAU)Utrecht UniversityUtrechtThe Netherlands

Bibliographic information

  • DOI
  • Copyright Information Springer Science+Business Media B.V. 1994
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-90-481-4472-3
  • Online ISBN 978-94-015-8354-1
  • Series Print ISSN 0921-092X
  • Buy this book on publisher's site
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