Shock-Capturing Methods for Free-Surface Shallow Flows

Mit Hilfe der hier vorgestellten Methoden lassen sich Lösungen für Strömungsprobleme in flachen Medien mit großem Gradienten erarbeiten sowie Details zeitabhängiger Phänomene wie der Wechselwirkung zwischen Wellen auflösen. Die Aufgaben (mit Lösungen) und Übungen stammen zum großen Teil aus praktischen Einsatzgebieten wie der Modellierung von Dammbrüchen und Lawinen und der Dispersion schwerer Gase. (06/00)

List of contents

Preface.
 
Introduction.
The Shallow Water Equations.
Properties of the Equations.
Linearised Shallow Water.
Exact Riemann Solver: Wet Bed.
Exact Riemann Solver: Dry Bed.
Tests with Exact Solution.
Basics on Numerical Methods.
First-Order Methods.
Approximate Riemann Solvers.
TVD Methods.
Sources and Multi-Dimensions.
Dam-Break Modelling.
Mach Reflection of Bores.
Concluding Remarks.
References.
Index.

About the author

Eleuterio F. Toro is the author of Shock-Capturing Methods for Free-Surface Shallow Flows, published by Wiley.

Summary

The first of its kind in the field, this title examines the use of modern, shock-capturing finite volume numerical methods, in the solution of partial differential equations associated with free-surface flows, which satisfy the shallow-water type assumption (including shallow water flows, dense gases and mixtures of materials as special examples).

Report

"...a well-written book ..... I strongly recommend the book..." (Jnl of Hydraulic Research, Vol.41, No.1, 2003)

Product details

• Authors: TORO, E. F. Toro, E.F. Toro, Ef Toro, Eleuterio Toro, Eleuterio F Toro, Eleuterio F. Toro, Eleuterio F. (Manchester Metropolitan Univer Toro, TORO E F, Toro Eleuterio F.
• Publisher: Wiley, John and Sons Ltd
• Languages: English
• Product format: Hardback
• Released: 23.02.2001
• EAN: 9780471987666
• ISBN: 978-0-471-98766-6
• No. of pages: 328
• Subjects: Natural sciences, medicine, IT, technology > Physics, astronomy > Mechanics, acoustics; Maschinenbau, Geowissenschaften, Strömungsmechanik, Mechanical Engineering, Earth Sciences, Fluid mechanics, Spezialthemen Geowissenschaften, Earth Science Special Topics, Stosswelle