General shallow water equations (GSWEs)

Dubravka Pokrajac

doi:10.1080/00221686.2023.2224756

General shallow water equations (GSWEs)

Dubravka Pokrajac^* (Corresponding Author)

^*Corresponding author for this work

Engineering

Research output: Contribution to journal › Article › peer-review

Abstract

Shallow water equations (SWEs) have been traditionally derived by integrating fundamental flow equations over a flow profile above a single point in a horizontal or nearly horizontal plane, with the main assumptions that the profile thickness is much smaller than other two dimensions and it contains only water. This paper presents the derivation of generalized SWEs (GSWEs) obtained for a finite plan area, allowing for the presence of phases other than water, such as air, grains, vegetation, and debris, which can be either stationary or mobile. The derivation provides a rigorous basis for various applications of layer-averaged models and opens numerous research questions, some of which are highlighted in the paper.

Original language	English
Pages (from-to)	303-321
Number of pages	19
Journal	Journal of Hydraulic Research
Volume	61
Issue number	3
Early online date	26 Jul 2023
DOIs	https://doi.org/10.1080/00221686.2023.2224756
Publication status	Published - 26 Jul 2023

Bibliographical note

Acknowledgments
The author would like to thank Vladimir Nikora and Mohamed Ghidaoui for the invitation to write this Vision Paper. Rui Ferreira and Francesco Ballio have provided thorough reviews of the initial draft. Their time and effort, thoughtful comments, and helpful suggestions are gratefully acknowledged.

The application of the double-averaging methodology to open channel flows had been developed and discussed with an informal group of researchers, who held eight workshops in the period between 2002 and 2010. The author would like to thank Vladimir Nikora for the leadership of this group and all group members for many enjoyable, challenging and productive discussions.
Funding
The author is grateful to the UK's Engineering and Physical Sciences Research Council (EPSRC, grants GR/R51865/01, EP/E0113301, and EP/K013513/1) and School of Engineering at the University of Aberdeen for the funding support towards this work.

Keywords

Aerated flows
bed-load
debris-flows
rough bed
SWEs
vegetated channels

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10.1080/00221686.2023.2224756Licence: CC BY-NC-ND

Pokrajac_JHR_General_Shallow_Water_VoR
© 2023 The Author(s). Published by Informa UK Limited, trading as Taylor & Francis Group. This is an Open Access article distributed under the terms of the Creative Commons Attribution-NonCommercial-NoDerivatives License (http://creativecommons.org/licenses/by-nc-nd/4.0/), which permits non-commercial re-use, distribution, and reproduction in any medium, provided the original work is properly cited, and is not altered, transformed, or built upon in any way. The terms on which this article has been published allow the posting of the Accepted Manuscript in a repository by the author(s) or with their consent.
Final published version, 987 KBLicence: CC BY-NC-ND

Cite this

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ER -

General shallow water equations (GSWEs)

Abstract

Bibliographical note

Keywords

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