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DOI | 10.1002/2017WR021563 |
Comment on "An Efficient and Stable Hydrodynamic Model With Novel Source Term Discretization Schemes for Overland Flow and Flood Simulations" by Xilin Xia et al. | |
Lu, Xinhua1; Mao, Bing2; Dong, Bingjiang3 | |
2018 | |
发表期刊 | WATER RESOURCES RESEARCH
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ISSN | 0043-1397 |
EISSN | 1944-7973 |
出版年 | 2018 |
卷号 | 54期号:1页码:621-627 |
文章类型 | Editorial Material |
语种 | 英语 |
国家 | Peoples R China |
英文摘要 | Xia et al. (2017) proposed a novel, fully implicit method for the discretization of the bed friction terms for solving the shallow-water equations. The friction terms contain h(-7/3) (h denotes water depth), which may be extremely large, introducing machine error when h approaches zero. To address this problem, Xia et al. (2017) introduces auxiliary variables (their equations (37) and (38)) so that h(-4/3) rather than h(-7/3) is calculated and solves a transformed equation (their equation (39)). The introduced auxiliary variables require extra storage. We implemented an analysis on the magnitude of the friction terms to find that these terms on the whole do not exceed the machine floating-point number precision, and thus we proposed a simple-to-implement technique by splitting h(-7/3) into different parts of the friction terms to avoid introducing machine error. This technique does not need extra storage or to solve a transformed equation and thus is more efficient for simulations. We also showed that the surface reconstruction method proposed by Xia et al. (2017) may lead to predictions with spurious wiggles because the reconstructed Riemann states may misrepresent the water gravitational effect. |
领域 | 资源环境 |
收录类别 | SCI-E |
WOS记录号 | WOS:000428474000035 |
WOS类目 | Environmental Sciences ; Limnology ; Water Resources |
WOS研究方向 | Environmental Sciences & Ecology ; Marine & Freshwater Biology ; Water Resources |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://119.78.100.173/C666/handle/2XK7JSWQ/21854 |
专题 | 资源环境科学 |
作者单位 | 1.Wuhan Univ, State Key Lab Water Resources & Hydropower Engn S, Wuhan, Hubei, Peoples R China; 2.Yangtze River Sci Res Inst, Wuhan, Hubei, Peoples R China; 3.Yangtze River Water Resource Commiss, Hydrol Bur, Wuhan, Hubei, Peoples R China |
推荐引用方式 GB/T 7714 | Lu, Xinhua,Mao, Bing,Dong, Bingjiang. Comment on "An Efficient and Stable Hydrodynamic Model With Novel Source Term Discretization Schemes for Overland Flow and Flood Simulations" by Xilin Xia et al.[J]. WATER RESOURCES RESEARCH,2018,54(1):621-627. |
APA | Lu, Xinhua,Mao, Bing,&Dong, Bingjiang.(2018).Comment on "An Efficient and Stable Hydrodynamic Model With Novel Source Term Discretization Schemes for Overland Flow and Flood Simulations" by Xilin Xia et al..WATER RESOURCES RESEARCH,54(1),621-627. |
MLA | Lu, Xinhua,et al."Comment on "An Efficient and Stable Hydrodynamic Model With Novel Source Term Discretization Schemes for Overland Flow and Flood Simulations" by Xilin Xia et al.".WATER RESOURCES RESEARCH 54.1(2018):621-627. |
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