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Hydrology and Earth System Sciences An interactive open-access journal of the European Geosciences Union
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HESS | Articles | Volume 24, issue 8
Hydrol. Earth Syst. Sci., 24, 4001–4024, 2020
https://doi.org/10.5194/hess-24-4001-2020
© Author(s) 2020. This work is distributed under
the Creative Commons Attribution 4.0 License.
Hydrol. Earth Syst. Sci., 24, 4001–4024, 2020
https://doi.org/10.5194/hess-24-4001-2020
© Author(s) 2020. This work is distributed under
the Creative Commons Attribution 4.0 License.

Research article 18 Aug 2020

Research article | 18 Aug 2020

A new form of the Saint-Venant equations for variable topography

Cheng-Wei Yu et al.

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AC: Author comment | RC: Referee comment | SC: Short comment | EC: Editor comment
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AR: Author's response | RR: Referee report | ED: Editor decision
ED: Publish subject to minor revisions (further review by editor) (12 Jun 2020) by Roberto Greco
AR by Cheng-Wei Yu on behalf of the Authors (16 Jun 2020)  Author's response    Manuscript
ED: Publish as is (09 Jul 2020) by Roberto Greco
Publications Copernicus
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Short summary
This study investigates the effects of bottom slope discontinuity on the stability of numerical solutions for the Saint-Venant equations. A new reference slope concept is proposed to ensure smooth source terms and eliminate potential numerical oscillations. It is shown that a simple algebraic transformation of channel geometry provides a smooth reference slope while preserving the correct cross-sectional flow area and the piezometric pressure gradient that drives the flow.
This study investigates the effects of bottom slope discontinuity on the stability of numerical...
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