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Evaluating the Effect of Numerical Schemes on Hydrological Simulations: HYMOD as A Case Study
Zhang, Shiyan1; Al-Asadi, Khalid2
2019-02-01
Source PublicationWATER
ISSN2073-4441
Volume11Issue:2Pages:20
Corresponding AuthorZhang, Shiyan(zhangshy@igsnrr.ac.cn)
AbstractThe importance of numerical schemes in hydrological models has been increasingly recognized in the hydrological community. However, the relationship between model performance and the properties of numerical schemes remains unclear. In this study, we employed two types of numerical schemes (i.e., explicit Runge-Kutta schemes with different orders of accuracy and partially implicit Euler schemes with different implicit factors) in the hydrological model (HYMOD) to simulate the flow hydrograph of the Leaf River basin from 1948 to 1988. Results computed by different numerical schemes were compared and the relationships between model performance and two scheme properties (i.e., the order of accuracy and the implicit factor) were discussed. Results showed that the more explicit schemes generally lead to the overestimation of flow hydrographs, whereas the more implicit schemes lead to underestimation. In addition, the numerical error tended to decrease with increasing orders of accuracy. As a result, the optimal parameter sets found by low-order schemes significantly deviated from those found by the analytical solution. The findings of this study can provide useful implications for designing suitable numerical schemes for hydrological models.
Keywordnumerical scheme hydrological model numerical error HYMOD parameter optimization downhill simplex method
DOI10.3390/w11020329
WOS KeywordPART 1 ; MODEL ; WATER ; RUNOFF ; ENERGY
Indexed BySCI
Language英语
Funding ProjectNational Key R&D Program of China[2016YFC0402406] ; National Natural Science Foundation of China[51509234] ; National Natural Science Foundation of China[51579230]
Funding OrganizationNational Key R&D Program of China ; National Natural Science Foundation of China
WOS Research AreaWater Resources
WOS SubjectWater Resources
WOS IDWOS:000460899600148
PublisherMDPI
Citation statistics
Document Type期刊论文
Identifierhttp://ir.igsnrr.ac.cn/handle/311030/48704
Collection中国科学院地理科学与资源研究所
Corresponding AuthorZhang, Shiyan
Affiliation1.Chinese Acad Sci, Key Lab Water Cycle & Related Land Surface Proc, Inst Geog Sci & Nat Resources Res, Beijing 100101, Peoples R China
2.Univ Basrah, Dept Civil Engn, Coll Engn, Basrah 61004, Iraq
Recommended Citation
GB/T 7714
Zhang, Shiyan,Al-Asadi, Khalid. Evaluating the Effect of Numerical Schemes on Hydrological Simulations: HYMOD as A Case Study[J]. WATER,2019,11(2):20.
APA Zhang, Shiyan,&Al-Asadi, Khalid.(2019).Evaluating the Effect of Numerical Schemes on Hydrological Simulations: HYMOD as A Case Study.WATER,11(2),20.
MLA Zhang, Shiyan,et al."Evaluating the Effect of Numerical Schemes on Hydrological Simulations: HYMOD as A Case Study".WATER 11.2(2019):20.
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