Free-Surface Flow: Shallow-Water Dynamics presents a novel approach to this phenomenon. It bridges the gap between traditional books on open-channel flow and analytical fluid mechanics. Shallow-water theory is established by formal integration of the Navier-Stokes equations, and boundary resistance is developed by a rigorous construction of turbulent flow models for channel flow. In addition, the book presents a comprehensive description of shallow-water waves by mathematical analysis. These methods form the foundation for understanding flood routing, sudden water releases, dam and levee break, sluice gate dynamics and wave-current interaction.
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Table of Contents
1. Basic Concepts 2. Air-Water Interface 3. Gravity Waves 4. Shallow-Water Approximation 5. Tidal Forcing 6. Long Waves 7. Channel Transitions 8. Channel Bed Resistance 9. Gradually-Varied-Flow 10. Characteristic Analysis 11. Bicharacteristics 12. Simple Waves, Surges, and Shocks 13. Sudden Water Release 14. Active Flood Control
