Free-Surface Flow: Computational Methods presents a detailed analysis of numerical schemes for shallow-water waves. It includes practical applications for the numerical simulation of flow and transport in rivers and estuaries, the dam-break problem and overland flow. Closure models for turbulence, such as Reynolds-Averaged Navier-Stokes and Large Eddy Simulation are presented, coupling the aforementioned surface tracking techniques with environmental fluid dynamics. While many computer programs can solve the partial differential equations describing the dynamics of fluids, many are not capable of including free surfaces in their simulations.
- Provides numerical solutions of the turbulent Navier-Stokes equations in three space dimensions
- Includes closure models for turbulence, such as Reynolds-Averaged Navier-Stokes, and Large Eddy Simulation
- Practical applications are presented for the numerical simulation of flow and transport in rivers and estuaries, the dam-break problem and overland flow
1. Basic Concepts 2. Finite-Difference Models for Diffusion 3. Finite-Difference Models for Advection 4. Finite-Element Models 5. Finite-Volume Models 6. Models for Nonlinear Transport 7. Finite-Difference Models for 2D Transport 8. Finite-Element Models for 2D Transport 9. Finite-Volume Methods for 2D Transport 10. Method of Characteristics for Channel Flow 11. Finite-Difference Methods for Channel Flow 12. Finite-Element Methods for Channel Flow 13. Finite-Volume Methods for Channel Flow 14. Method of Bi-Characteristics 15. Finite-Difference Methods for Shallow-Water Flow 16. Finite-Element Methods for Shallow-Water Flow 17. Finite-Volume Methods for Shallow-Water Flow 18. Models for the Navier-Stokes Equations 19. Ideal Free-Surface Flow 20. Marker and Cell Method 21. Finite-Element Methods for Free-Surface Flow 22. Volume of Fluid Method 23. Level Set Method 24. Smoothed Particle Hydrodynamics 25. Large-Scale Finite-Volume Models
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.