Hydrology and Earth System Sciences
Hydrology and Earth System Sciences
HESS
Articles | Volume 24, issue 8
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

Viewed

Total article views: 4,923 (including HTML, PDF, and XML)
HTML PDF XML Total BibTeX EndNote
3,385 1,460 78 4,923 96 125
  • HTML: 3,385
  • PDF: 1,460
  • XML: 78
  • Total: 4,923
  • BibTeX: 96
  • EndNote: 125
Views and downloads (calculated since 19 Mar 2020)
Cumulative views and downloads (calculated since 19 Mar 2020)

Viewed (geographical distribution)

Total article views: 4,923 (including HTML, PDF, and XML) Thereof 4,583 with geography defined and 340 with unknown origin.
Country # Views %
  • 1
1
 
 
 
 
Latest update: 14 Nov 2025
Download
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.
Read more
Share