@inproceedings{d417dd25e9f74ceb89210a1b7dbca11b,
title = "Nonlinearity tests of the Saint Venant equations",
abstract = "The Saint Venant equations are two nonlinear partial differential equations (PDE) which are used to describe the dynamics of one-dimensional flow in open water channels. Despite being nonlinear PDEs, the Saint Venant equations seem to exhibit linear behaviour in response to sinusoidal input signals. It is therefore of interest to determine {"}how nonlinear{"} the Saint Venant equations are. In this paper, we investigate the nonlinearity in the Saint Venant equations using several commonly used nonlinearity tests suggested in the literature. Five different open water channels are considered, and the results from the nonlinearity tests show that the Saint Venant equations are nearly linear in an operating region from at least half the nominal flow to twice the nominal flows, and many of the channels display linear behaviour in a larger operating region. This finding is useful as it further justifies the use of linear control design methodologies for open water channels. {\textcopyright} 2013 IEEE.",
keywords = "Equations, Correlation, Mathematical model, Harmonic analysis, Frequency response, Broadband communication, Time-domain analysis",
author = "Mathias Foo and Erik Weyer",
year = "2014",
month = mar,
day = "10",
doi = "10.1109/CDC.2013.6760662",
language = "English",
isbn = "978-1-4673-5714-2",
series = "Proceedings of the IEEE Conference on Decision and Control",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "4925--4930",
booktitle = "Proceedings of the IEEE Conference on Decision and Control",
address = "United States",
note = "IEEE Conference on Decision and Control ; Conference date: 10-12-2013 Through 13-12-2013",
}