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Published in:
2009 | OriginalPaper | Chapter
Modeling of Open Channel Flow
Published in: Modeling and Control of Hydrosystems
Publisher: Springer London
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In this chapter, we present the classical model used to describe open channel hydraulics: the Saint-Venant equations. For completeness, the equations are rigorously derived in Appendix A. We first study some of their mathematical properties, such as the characteristic form. We briefly describe some numerical methods of resolution, and then consider the linearized equations that are valid for small variations around equilibrium regimes. These equations form the basis of all the methods developed in this book.