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2021 | OriginalPaper | Chapter

2. Derivation of the Shallow Water Equations

Author : Monika Johanna Kreitmair

Published in: The Effect of Uncertainty on Tidal Stream Energy Resource Estimates

Publisher: Springer International Publishing

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Abstract

This chapter presents a derivation of the shallow water equations, which describe flows where horizontal length-scales are much larger than the vertical. This occurs when hydrodynamic processes are small in comparison to gravity effects, and is therefore appropriate for tidal flows in channels where the tidal wavelength \(\lambda _w\) is greater than the channel depth h, such that \(\lambda _w / h \ll 2 \pi \).

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previous chapter Introduction and Literature Review

next chapter Uncertain Power from a Hydro-Kinetic Turbine in Steady Flow

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Title: Derivation of the Shallow Water Equations
Author: Monika Johanna Kreitmair
Publisher: Springer International Publishing
Book: The Effect of Uncertainty on Tidal Stream Energy Resource Estimates
Print ISBN: 978-3-030-57657-8

Electronic ISBN: 978-3-030-57658-5

Copyright Year: 2021
DOI: https://doi.org/10.1007/978-3-030-57658-5_2