Numerical Modeling in Open Channel Hydraulics

1. Front Matter

   Pages i-xiii

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2. Open Channel Flow Equations

   • Romuald Szymkiewicz

   Pages 1-51

3. Methods for Solving Algebraic Equations and Their Systems

   • Romuald Szymkiewicz

   Pages 53-84

4. Numerical Solution of Ordinary Differential Equations

   • Romuald Szymkiewicz

   Pages 85-110

5. Steady Gradually Varied Flow in Open Channels

   • Romuald Szymkiewicz

   Pages 111-157

6. Partial Differential Equations of Hyperbolic and Parabolic Type

   • Romuald Szymkiewicz

   Pages 159-217

7. Numerical Solution of the Advection Equation

   • Romuald Szymkiewicz

   Pages 219-261

8. Numerical Solution of the Advection-Diffusion Equation

   • Romuald Szymkiewicz

   Pages 263-300

9. Numerical Integration of the System of Saint Venant Equations

   • Romuald Szymkiewicz

   Pages 301-365

10. Simplified Equations of the Unsteady Flow in Open Channel

    • Romuald Szymkiewicz

    Pages 367-416

11. Back Matter

    Pages 417-419

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Open channel hydraulics has always been a very interesting domain of scienti c and engineering activity because of the great importance of water for human l- ing. The free surface ow, which takes place in the oceans, seas and rivers, can be still regarded as one of the most complex physical processes in the environment. The rst source of dif culties is the proper recognition of physical ow processes and their mathematical description. The second one is related to the solution of the derived equations. The equations arising in hydrodynamics are rather comp- cated and, except some much idealized cases, their solution requires application of the numerical methods. For this reason the great progress in open channel ow modeling that took place during last 40 years paralleled the progress in computer technique, informatics and numerical methods. It is well known that even ty- cal hydraulic engineering problems need applications of computer codes. Thus, we witness a rapid development of ready-made packages, which are widely d- seminated and offered for engineers. However, it seems necessary for their users to be familiar with some fundamentals of numerical methods and computational techniques applied for solving the problems of interest. This is helpful for many r- sons. The ready-made packages can be effectively and safely applied on condition that the users know their possibilities and limitations. For instance, such knowledge is indispensable to distinguish in the obtained solutions the effects coming from the considered physical processes and those caused by numerical artifacts.

• Fundament
• Hydraulic engineering
• Mathematical models
• Numerical methods
• Open channel flow
• hydraulics
• modeling
• hydrogeology

From the reviews:

“Numerical Modeling in Open Channel Hydraulics is mainly addressed to students, scientists and engineers involved in modeling techniques of flow or pollutant transport in rivers. The main goal of this useful and interesting book is to present and explain all important issues connected with one-dimensional numerical modeling in open channel hydraulics … . The systematic and detailed description of the problems covered by the book is invaluable for all people involved professionally, or wishing to be, in open channel hydraulics.”­­­ (Adam Piotrowski, Pure and Applied Geophysics, Vol. 168, 2011)

• Fac. Civil & Environmental Engineering, Gdansk University of Technology, Gdansk, Poland

  Romuald Szymkiewicz

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