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Modelling roll waves with shallow water equations and turbulent closure
Cao, Zhixian1,2; Hu, Penghui1; Hu, Kaiheng3; Pender, Gareth2; Liu, Qingquan4
Corresponding AuthorCao, Zhixian
AbstractA physically enhanced model is proposed for roll waves based on the shallow water equations and k-epsilon turbulence closure along with a modification component. It is tested against measured data on periodic permanent roll waves, and the impact of turbulence is demonstrated to be essential. It is revealed that a regular inlet perturbation may lead to periodic permanent or natural roll waves, when its period is shorter or longer than a critical value inherent to a specified normal flow. While a larger amplitude or shorter period of a regular inlet perturbation is conducive to the formation of periodic permanent roll waves, their period remains the same as that of the perturbation, while their amplitude increases with the perturbation period and is independent of the perturbation amplitude. An irregular inlet perturbation favours the formation of natural roll waves, so does a larger amplitude of the perturbation.
KeywordTurbulent Reynolds Stress Natural Roll Waves Shallow Water Equations Periodic Permanent Roll Waves K-epsilon Turbulence Model
WOS HeadingsScience & Technology ; Technology ; Physical Sciences
WOS Subject ExtendedEngineering ; Water Resources
Indexed BySCI
WOS SubjectEngineering, Civil ; Water Resources
WOS IDWOS:000354124600002
Funding OrganizationNatural Science Foundation of China(51279144 ; Chinese Academy of Sciences(KZZD-EW-05-01-03) ; 11432015)
Citation statistics
Cited Times:31[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Affiliation1.Wuhan Univ, State Key Lab Water Resources & Hydropower Engn S, Wuhan 430072, Peoples R China
2.Heriot Watt Univ, Inst Infrastruct & Environm, Edinburgh, Midlothian, Scotland
3.Chinese Acad Sci, Inst Mt Hazards & Environm, Chengdu, Peoples R China
4.Chinese Acad Sci, Inst Mech, Beijing 100080, Peoples R China
Recommended Citation
GB/T 7714
Cao, Zhixian,Hu, Penghui,Hu, Kaiheng,et al. Modelling roll waves with shallow water equations and turbulent closure[J]. JOURNAL OF HYDRAULIC RESEARCH,2015,53(2):161-177.
APA Cao, Zhixian,Hu, Penghui,Hu, Kaiheng,Pender, Gareth,&Liu, Qingquan.(2015).Modelling roll waves with shallow water equations and turbulent closure.JOURNAL OF HYDRAULIC RESEARCH,53(2),161-177.
MLA Cao, Zhixian,et al."Modelling roll waves with shallow water equations and turbulent closure".JOURNAL OF HYDRAULIC RESEARCH 53.2(2015):161-177.
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