Comptes Rendus
no. 7
Physical based numerical schemes for the discretization of the sediment settling term
Xinhua Lu1, 2  ; Xiaofeng Zhang1  ; Bingjiang Dong3  ; Huaihan Liu2  ; Bing Mao4
1 State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan 430072, China
2 Changjiang Waterway Planning, Design and Research Institute, Wuhan 430010, China
3 Yangtze River Scientific Research Institute, Wuhan 430015, China
4 Hydrology Bureau, Yangtze River Water Resource Commission, Wuhan 430010, China
Comptes Rendus. Mécanique, Volume 341 (2013) no. 7, pp. 581-591.

In this paper, the discretization of the sediment settling term is investigated. Two potential problems induced by the incorrect discretization of this term are analyzed. It shows that even the first-order upwind algorithm, the most stable and conservative scheme, cannot always ensure stability and mass conservation. To tackle these issues, three rules are proposed. Based on these rules, two schemes are designed. The performances of different schemes are tested in a study of sediment motions under a wave-breaking situation. The results show that the unphysical problems are relieved or totally avoided by the new schemes.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crme.2013.05.002
Mots clés : Sedimentation, Suspension, Mass conservation, Wave breaking, Settling velocity
Xinhua Lu 1, 2 ; Xiaofeng Zhang 1 ; Bingjiang Dong 3 ; Huaihan Liu 2 ; Bing Mao 4

1 State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan 430072, China
2 Changjiang Waterway Planning, Design and Research Institute, Wuhan 430010, China
3 Yangtze River Scientific Research Institute, Wuhan 430015, China
4 Hydrology Bureau, Yangtze River Water Resource Commission, Wuhan 430010, China 
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Xinhua Lu; Xiaofeng Zhang; Bingjiang Dong; Huaihan Liu; Bing Mao. Physical based numerical schemes for the discretization of the sediment settling term. Comptes Rendus. Mécanique, Volume 341 (2013) no. 7, pp. 581-591. doi : 10.1016/j.crme.2013.05.002. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2013.05.002/

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