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.
- Bridges the gap between traditional books on open-channel flow and analytical fluid mechanics
- Presents a comprehensive description of shallow-water waves by characteristic and bi-characteristic analysis
- Provides an abundance of equations and workout examples
1. Shallow-Water Approximation 2. Long Waves 3. Channel Transitions 4. Channel Bed Resistance 5. Gradually-Varied-Flow 6. Characteristic Analysis 7. Bi-Characteristics 8. Simple Waves, Surges and Shocks 9. Sudden Water Release 10. Parameter Estimation 11. Adjoint Sensitivity Analysis 12. Control
Nikolaos D. Katopodes, University Michigan Ann Arbor, Department of Civil & Environmental Engineering, Ann Arbor, United States. Dr. Katopodes has chaired or co-chaired 28 PhD student theses. His research has resulted in over 200 publications, and several software packages that are used worldwide for the analysis and control of free-surface flows.