Free-Surface Flow - 1st Edition - ISBN: 9780128154854

Free-Surface Flow

1st Edition

Computational Methods

Authors: Nikolaos Katopodes
Paperback ISBN: 9780128154854
Imprint: Butterworth-Heinemann
Published Date: 22nd November 2018
Page Count: 914
Sales tax will be calculated at check-out Price includes VAT/GST

Institutional Subscription

Secure Checkout

Personal information is secured with SSL technology.

Free Shipping

Free global shipping
No minimum order.


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.

Key Features

  • 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


Civil and Environmental Engineering, Coastal Engineering, and Ocean Engineering

Table of Contents

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


No. of pages:
© Butterworth-Heinemann 2019
Paperback ISBN:

About the Author

Nikolaos Katopodes

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.

Affiliations and Expertise

Department of Civil and Environmental Engineering, University of Michigan, Ann Arbor, USA

Ratings and Reviews