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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...

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Bibliographic Details
Main Author: Toro, Eleuterio F.
Format: eBook
Language:English
Published: Cham Springer Nature Switzerland 2024, 2024
Edition:2nd ed. 2024
Subjects:
Engineering Fluid Dynamics
Fluid Mechanics
Geotechnical Engineering And Applied Earth Sciences
Geophysics
Numerical Analysis
Engineering Geology
Geotechnical Engineering
Geoengineering
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • 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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