scholarly journals Stochastic Galerkin Finite Volume Shallow Flow Model: Well-Balanced Treatment over Uncertain Topography

2020 ◽  
Vol 146 (3) ◽  
pp. 04020005 ◽  
Author(s):  
James Shaw ◽  
Georges Kesserwani
Author(s):  
Hiroki ZENNO ◽  
Toshiki IWASAKI ◽  
Yasuyuki SHIMIZU ◽  
Ichiro KIMURA

2013 ◽  
Vol 52 ◽  
pp. 107-131 ◽  
Author(s):  
Jingming Hou ◽  
Qiuhua Liang ◽  
Franz Simons ◽  
Reinhard Hinkelmann

2020 ◽  
Vol 406 ◽  
pp. 109186 ◽  
Author(s):  
J.M. Delgado-Sánchez ◽  
F. Bouchut ◽  
E.D. Fernández-Nieto ◽  
A. Mangeney ◽  
G. Narbona-Reina

2019 ◽  
Vol 27 (3) ◽  
pp. 1-11
Author(s):  
Yebegaeshet T. Zerihun

Abstract In an open-channel, the transition of a flow from a subcritical to a supercritical state may occur as a result of a lateral inflow or outflow that produces a streamwise discharge variation. Apparently, such a transition cannot be modeled accurately by a conventional hydrostatic pressure approach. In this study, a depth-averaged model that accounts for the effects of a spatially-varied discharge and a non-hydrostatic pressure distribution was developed and applied to simulate the transcritical flow in a lateral-spillway channel and the subcritical flow in a main channel fitted with side weirs. The model results for the axial free-surface profile and variation of discharge in the main channel were compared with the results of a shallow-flow model and experimental data, thereby resulting in a closer match to the measurements than the shallow-flow model. Overall, the investigation results confirmed the efficiency and validity of the non-hydrostatic depth-averaged model in simulating the mean flow characteristics of the subcritical and transcritical free-surface flows with spatially increasing or decreasing discharges, thus demonstrating its potential to be used as a numerical tool in engineering practice.


2011 ◽  
Vol 49 (3) ◽  
pp. 307-316 ◽  
Author(s):  
Yueling Wang ◽  
Qiuhua Liang ◽  
Georges Kesserwani ◽  
Jim W. Hall

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