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

Yu, Cheng-Wei; Hodges, Ben R.; Liu, Frank

doi:https://doi.org/10.5194/hess-24-4001-2020

Articles | Volume 24, issue 8

https://doi.org/10.5194/hess-24-4001-2020

© Author(s) 2020. This work is distributed under
the Creative Commons Attribution 4.0 License.

https://doi.org/10.5194/hess-24-4001-2020

© Author(s) 2020. This work is distributed under
the Creative Commons Attribution 4.0 License.

Articles | Volume 24, issue 8

Research article

|

18 Aug 2020

Research article |

| 18 Aug 2020

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

Cheng-Wei Yu, Ben R. Hodges, and Frank Liu

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Final revised paper (published on 18 Aug 2020)
Preprint (discussion started on 19 Mar 2020)

Interactive discussion

Status: closed

AC: Author comment | RC: Referee comment | SC: Short comment | EC: Editor comment

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- Supplement

RC1: 'Review for hess-2020-75 "A new form of the Saint-Venant equations for variable topography"', Anonymous Referee #1, 27 Apr 2020
- AC1: 'Thank you for the comments.', Cheng-Wei Yu, 05 May 2020
  - RC3: 'Typo error', Anonymous Referee #1, 10 May 2020
    - AC5: 'Thank you', Cheng-Wei Yu, 05 Jun 2020
- AC3: 'Final reponse', Cheng-Wei Yu, 29 May 2020
RC2: 'Referee report', Anonymous Referee #2, 04 May 2020
- AC2: 'Thank you for the comments.', Cheng-Wei Yu, 05 May 2020
- AC4: 'Final reponse', Cheng-Wei Yu, 29 May 2020

Peer-review completion

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

AR by Cheng-Wei Yu on behalf of the Authors (14 Jul 2020) Manuscript

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.