Numerical Methods for Shallow-Water Flow

1995
ISBN: 978-0-7923-3164-3
Verlag: Springer Netherlands

Buch, Englisch, Band 13, 262 Seiten, HC runder Rücken kaschiert, Format (B × H): 215 mm x 303 mm, Gewicht: 1250 g

Reihe: Water Science and Technology Library

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.

Zielgruppe

Research

Autoren/Hrsg.

Vreugdenhil, C. B.

Fachgebiete

• Geowissenschaften Geologie Limnologie (Süßwasser)
• Naturwissenschaften Physik Thermodynamik Festkörperphysik, Kondensierte Materie
• Geowissenschaften Geologie Meteorologie, Klimatologie
• Geowissenschaften Umweltwissenschaften Wasserversorgung
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Computeranwendungen in der Mathematik
• Geowissenschaften Geologie Geomorphologie, Erosion, Glaziologie
• Geowissenschaften Geologie Hydrologie, Hydrogeologie
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik
• Technische Wissenschaften Umwelttechnik | Umwelttechnologie Abfallwirtschaft, Abfallentsorgung
• Rechtswissenschaften Öffentliches Recht Umweltrecht Abfall- und Bodenschutzrecht
• Geowissenschaften Umweltwissenschaften Abfallbeseitigung, Abfallentsorgung
• Geowissenschaften Umweltwissenschaften Umweltverschmutzung, Umweltkriminalität, Umweltrecht
• Technische Wissenschaften Bauingenieurwesen Wasserbau
• Geowissenschaften Geologie Marine Geologie, Ozeanographie (Meereskunde)

Inhaltsverzeichnis

1. Shallow-water flows.- 2. Equations.- 3. Some properties.- 4. Behaviour of solutions.- 5. Boundary conditions.- 6. Discretization in space.- 7. Effects of space discretization on wave propagation.- 8. Time integration methods.- 9. Effect of time discretization on wave propagation.- 10. Numerical treatment of boundary conditions.- 11. Three-dimensional shallow-water flow.- List of notation.- References.