Numerical study of roll wave development for non-uniform initial conditions using steep slope shallow water equations

被引:2
作者
Dai, Shubing [1 ,2 ]
Liu, Xinyuan [1 ,2 ]
Zhang, Kuandi [1 ,2 ]
Ma, Yulei [3 ]
Liu, Hansheng [1 ,2 ]
Jin, Sheng [4 ]
机构
[1] Northwest A&F Univ, Key Lab Agr Soil & Water Engn Arid & Semiarid Area, Minist Educ, Yangling, Shaanxi, Peoples R China
[2] Northwest A&F Univ, Coll Water Resources & Architectural Engn, Yangling, Shaanxi, Peoples R China
[3] Northwest A&F Univ, Inst Soil & Water Conservat, State Key Lab Soil Erosion & Dryland Farming Loess, Yangling, Shaanxi, Peoples R China
[4] Dalian Univ Technol, Sch Hydraul Engn, Dalian, Liaoning, Peoples R China
基金
中国国家自然科学基金;
关键词
OVERLAND-FLOW;
D O I
10.1063/5.0189067
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
Periodic shock waves of roll waves may cause the flow to jump over the canal bank, increase soil erosion, and enhance the destructive power of debris flow. This paper focuses on the spatiotemporal changes in waveform, velocity, discharge, shear stress, and Froude number during the development process of roll waves, taking the non-uniform flow as the initial condition. This work studied numerically the influence mechanism of different variables on the development process of roll waves based on steep slope shallow water equations. The roll wave is unstable when the disturbance amplitude is too large. By reducing the inlet velocity, increasing the disturbance wavelength, and reducing the roughness coefficient, it can make the roll wave stable. Reducing the inlet velocity not only reduces the frequency of the shock wave but also keeps the wave crest from rising. Under different boundary conditions of disturbance amplitude, the crest growth rate (crest water depth difference/crest distance difference) of the roll wave development segment at a certain time is almost consistent. For different initial water depths, there is overlap in the roll wave development segment at a certain time. Under the initial condition of non-uniform flow, the congestion at the inlet means that the initial water depth is less than the normal water depth, and the decline of the water depth at the inlet means that the initial water depth is greater than the uniform water depth.
引用
收藏
页数:22
相关论文
共 45 条
  • [1] Investigation on the formation of roll waves in chutes
    Aghebatie, Behrouz
    Hosseini, Khosrow
    [J]. WATER AND ENVIRONMENT JOURNAL, 2016, 30 (1-2) : 113 - 118
  • [2] Cyclic steps and roll waves in shallow water flow over an erodible bed
    Balmforth, N. J.
    Vakil, A.
    [J]. JOURNAL OF FLUID MECHANICS, 2012, 695 : 35 - 62
  • [3] Note on the stability of viscous roll waves
    Barker, Blake
    Johnson, Mathew A.
    Noble, Pascal
    Rodrigues, Luis Miguel
    Zumbrun, Kevin
    [J]. COMPTES RENDUS MECANIQUE, 2017, 345 (02): : 125 - 129
  • [4] Numerical analysis of roll waves in chutes
    Bazargan, Jalal
    Aghebatie, Behrouz
    [J]. WATER SCIENCE AND TECHNOLOGY-WATER SUPPLY, 2015, 15 (03): : 517 - 524
  • [5] Brock R.R., 1967, Ph.D. Thesis
  • [6] Modelling roll waves with shallow water equations and turbulent closure
    Cao, Zhixian
    Hu, Penghui
    Hu, Kaiheng
    Pender, Gareth
    Liu, Qingquan
    [J]. JOURNAL OF HYDRAULIC RESEARCH, 2015, 53 (02) : 161 - 177
  • [7] Non-linear shallow water flow modelling over topography with depth-averaged potential equations
    Castro-Orgaz, Oscar
    Cantero-Chinchilla, Francisco N.
    [J]. ENVIRONMENTAL FLUID MECHANICS, 2020, 20 (02) : 261 - 291
  • [8] Coherent structures, self-similarity, and universal roll wave coarsening dynamics
    Chang, HC
    Demekhin, EA
    Kalaidin, E
    [J]. PHYSICS OF FLUIDS, 2000, 12 (09) : 2268 - 2278
  • [9] Numerical Study of Roll Wave Characteristics Based on Navier-Stokes Equations: A Two-Dimensional Simulation
    Chen, Xinyi
    Wang, Xiaoliang
    Liu, Qingquan
    [J]. JOURNAL OF ENGINEERING MECHANICS, 2021, 147 (02)
  • [10] Cornish V., 1934, OCEAN WAVES KINDRED