Articles | Volume 24, issue 8
https://doi.org/10.5194/hess-24-4001-2020
https://doi.org/10.5194/hess-24-4001-2020
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: 4,169 (including HTML, PDF, and XML)
HTML PDF XML Total BibTeX EndNote
2,770 1,331 68 4,169 72 86
  • HTML: 2,770
  • PDF: 1,331
  • XML: 68
  • Total: 4,169
  • BibTeX: 72
  • EndNote: 86
Views and downloads (calculated since 19 Mar 2020)
Cumulative views and downloads (calculated since 19 Mar 2020)

Viewed (geographical distribution)

Total article views: 4,169 (including HTML, PDF, and XML) Thereof 3,840 with geography defined and 329 with unknown origin.
Country # Views %
  • 1
1
 
 
 
 

Cited

Latest update: 23 Apr 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.
Share