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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Format: | eBook |
Language: | English |
Published: |
Cham
Springer Nature Switzerland
2024, 2024
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Edition: | 2nd ed. 2024 |
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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