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Erschienen in:
2009 | OriginalPaper | Buchkapitel
Frequency Domain Analysis of Open Channel Flow
Erschienen in: Modeling and Control of Hydrosystems
Verlag: Springer London
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In this chapter, we analyze the linearized Saint-Venant equations. First the horizontal frictionless case, then the uniform flow case, and finally the nonuniform flow case are treated in depth, with a complete characterization of the Saint-Venant transfer matrix in terms of poles, delay, and series expansion. For the two former cases, the analysis of the system properties is possible due to the existence of closedform expressions for the transfer functions. By contrast, for the latter case, in order to bypass the absence of closed-form expressions, we provide a complete and new approach based on the use of efficient and convenient numerical schemes.