Buchumschlag

Computational Algorithms for Shallow Water Equations

This book is a thoroughly revised and enlarged version of “Shock-capturing methods for free-surface shallow flows", first published by Wiley and Sons, 2001. The book describes mathematically free-surface flows through partial differential equations and includes modern shock-capturing methods to...

Ausführliche Beschreibung

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Bibliographische Detailangaben
1. Verfasser: Toro, Eleuterio F. (VerfasserIn)
Körperschaft: SpringerLink (Online service)
Format: Elektronisch E-Book
Sprache:Englisch
Veröffentlicht: Cham : Springer Nature Switzerland : Imprint: Springer, 2024.
Ausgabe:2nd ed. 2024.
Schlagworte:
Numerical analysis.
Fluid mechanics.
Engineering geology.
Geotechnical engineering.
Geophysics.
Numerical Analysis.
Engineering Fluid Dynamics.
Geoengineering.
Geotechnical Engineering and Applied Earth Sciences.
Online-Zugang:https://doi.org/10.1007/978-3-031-61395-1
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Inhaltsangabe:
  • The Shallow Water Equations
  • Notions on Hyperbolic Equations
  • Linear Shallow Water Equations
  • Properties of the Nonlinear Equations
  • Elementary Waves in Shallow Water
  • Exact Riemann Solver: Wet Bed
  • Exact Riemann Solver: Dry Bed
  • Tests with Exact Solution
  • Notions on Numerical Methods
  • First-Order Methods for Systems
  • Approximate Riemann Solvers
  • Second-Order Non-Linear Methods
  • Sources and Multidimensions
  • Ader High-Order Methods
  • Dam-Break Modelling
  • Mach Reflection in Tsunamis
  • Concluding Remarks.

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