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.

Accepted:

Published online:

Xinhua Lu ^{1, 2};
Xiaofeng Zhang ^{1};
Bingjiang Dong ^{3};
Huaihan Liu ^{2};
Bing Mao ^{4}

@article{CRMECA_2013__341_7_581_0, author = {Xinhua Lu and Xiaofeng Zhang and Bingjiang Dong and Huaihan Liu and Bing Mao}, title = {Physical based numerical schemes for the discretization of the sediment settling term}, journal = {Comptes Rendus. M\'ecanique}, pages = {581--591}, publisher = {Elsevier}, volume = {341}, number = {7}, year = {2013}, doi = {10.1016/j.crme.2013.05.002}, language = {en}, }

TY - JOUR AU - Xinhua Lu AU - Xiaofeng Zhang AU - Bingjiang Dong AU - Huaihan Liu AU - Bing Mao TI - Physical based numerical schemes for the discretization of the sediment settling term JO - Comptes Rendus. Mécanique PY - 2013 SP - 581 EP - 591 VL - 341 IS - 7 PB - Elsevier DO - 10.1016/j.crme.2013.05.002 LA - en ID - CRMECA_2013__341_7_581_0 ER -

%0 Journal Article %A Xinhua Lu %A Xiaofeng Zhang %A Bingjiang Dong %A Huaihan Liu %A Bing Mao %T Physical based numerical schemes for the discretization of the sediment settling term %J Comptes Rendus. Mécanique %D 2013 %P 581-591 %V 341 %N 7 %I Elsevier %R 10.1016/j.crme.2013.05.002 %G en %F CRMECA_2013__341_7_581_0

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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