Free-Surface Flow: Computational Methods

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 dimensionsIncludes closure models for turbulence, such as Reynolds-Averaged Navier-Stokes, and Large Eddy SimulationPractical 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 and Finite-Volume Methods for Scalar Transport

5. Finite-Difference Methods for Equilibrium Problems

6. Methods for Two-Dimensional Scalar Transport

7. Methods for Open-Channel Flow

8. Methods for Two-Dimensional Shallow-Water Flow

9. Methods for Incompressible Viscous Flow

10. Deforming Grid Methods

11. Marker and Cell Method

12. Volume of Fluid Method

13. Level Set Method

14. Smoothed Particle Hydrodynamics