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An analysis of dam-break flow on slope

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Abstract

The one-dimensional steep slope shallow water equations are used to model the dam-break flow down a uniform slope with arbitrary inclination, and analytical solutions are derived by the hodograph transformation and the Riemann’s method in terms of evaluated integrals. An implicit analytical solution is obtained to evaluate the spatio-temporal distributions of dam-break flood hydrographs along the slope. For convenience, the solution for representative wave profiles and velocity distributions is shown in charts. Comparing with the Dressler’s solution and WES experimental data, the analytical solution is seen reasonable.

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References

  1. SHIGEMATSU T., LIU P. L. F. and ODA K. Numerical modeling of the initial stages of dam-break waves[J]. Journal of Hydraulic Research, 2004, 42(2): 183–195

    Article  Google Scholar 

  2. LEVEQUE R. J. Finite volume methods for hyperbolic problems [M]. Cambridge, UK: Cambridge University Press, 2002.

    Book  Google Scholar 

  3. ZOPPOU C., ROBERTS S. Explicit schemes for dambreak simulations[J]. Journal of Hydraulic Engineering, ASCE, 2003, 129(1): 11–34

    Article  Google Scholar 

  4. MACCHIONE F., MORELLI M. A. Practical aspects in comparing shock-capturing schemes for dam break problems[ J]. Journal of Hydraulic Engineering, ASCE, 2003, 129(3): 187–195

    Article  Google Scholar 

  5. HOGG A. J., PRITCHARD D. The effects of hydraulic resistance on dam-break and other shallow inertial flows[J]. Journal of Fluid Mechanics, 2004, 501: 179–212.

    Article  MathSciNet  Google Scholar 

  6. ADDUCE C., SCIORTINO G. and PROIETTI S. Gravity currents produced by lock exchanges: Experiments and simulations with a two-layer shallow-water model with entrainment[J]. Journal of Hydraulic Engineering, ASCE, 2011, 138(2): 111–121

    Article  Google Scholar 

  7. GOATER A. J. N., HOGG A. J. Bounded dam-break flows with tailwaters[J]. Journal of Fluid Mechanics, 2011, 686: 160–186

    Article  MathSciNet  Google Scholar 

  8. HUANG Guo-fu, WU Chao and ZHANG Yi-fei et al. Analytical solutions for 1-D dam-break flood on sloping channel bed[J]. Journal of Hydrodynamics, 2005, 20(5): 597–603

    Google Scholar 

  9. ANCEY C., COCHARD S. The dam-break problem for Herschel-Bulkley viscoplastic fluids down steep flumes[ J]. Journal of Non-Newtonian Fluid Mechanics, 2009, 158(1): 18–35

    Article  Google Scholar 

  10. CHANSON H. Analytical solutions of laminar and turbulent dam break wave[C]. International Conference on Fluvial Hydraulics River Flow. Lisbon, Portugal, 2006, 1: 465–474

    Google Scholar 

  11. BALDOCK T. E., HUGHES M. G. and DAY K. et al. Swash overtopping and sediment overwash on a truncated beach[J]. Coastal Engineering, 2005, 52(7): 633–645.

    Article  Google Scholar 

  12. ANTUON M., HOGG A. J. Run-up and backwash bore formation from dam-break flow on an inclined plane[J]. Journal of Fluid Mechanics, 2009, 640: 151–164

    Article  Google Scholar 

  13. ANCEY C., IVERSON R. M. and RENTSCHLER M. et al. An exact solution for ideal dam-break floods on steep slopes[J]. Water Resources Research, 2008, 44(1): 1–10

    Article  Google Scholar 

  14. FERNANDEZ-FERIA R. Dam-break flow for arbitrary slopes of the bottom[J]. Journal of Engineering Mathematics, 2006, 54(4): 319–331

    Article  MathSciNet  Google Scholar 

  15. DELESTRE O., LUCAS C. and KSINANT P. A. et al. SWASHES: A compilation of shallow water analytic solutions for hydraulic and environmental studies[J]. International Journal for Numerical Methods in Fluids, 2013, 72(3): 269–300

    Article  MathSciNet  Google Scholar 

  16. MANGENEY A., HEINRICH P. and ROCHE R. Analytical solution for testing debris avalanche numerical models[J]. Pure and Applied Geophysics, 2000, 157(6–8): 1081–1096

    Article  Google Scholar 

  17. EMMETT M., MOODIE T. B. Sediment transport via dam-break flows over sloping erodible beds[J]. Studies in Applied Mathematics, 2009, 123(3): 257–290

    Article  MathSciNet  Google Scholar 

  18. MARRA D., EARL T. and ANCEY C. Experimental investigations of dam break flows down an inclined channel[C]. Proceedings of the 34th World Congress of the International Association for Hydro-Environment Research and Engineering: 33rd Hydrology and Water Resources Symposium and 10th Conference on Hydraulics in Water Engineering. Brisbane, Australia, 2011.

    Google Scholar 

  19. PILOTTI M., TOMIROTTI M. and VALERIO G. et al. Simplified method for the characterization of the hydrograph following a sudden partial dam break[J]. Journal of Hydraulic Engineering, ASCE, 2010, 136(10): 693–704.

    Article  Google Scholar 

  20. CHANG T. J., KAO H. M. and CHANG K. H. et al. Numerical simulation of shallow-water dam break flows in open channels using smoothed particle hydrodynamics[ J]. Journal of Hydrology, 2011, 408(1): 78–90.

    Article  Google Scholar 

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Author information

Authors and Affiliations

  1. College of Civil Engineering, Fuzhou University, Fuzhou, 350108, China

    Li-hui Wang  (王立辉)

  2. Zhejiang Institute of Hydraulics and Estuary, Hangzhou, 310020, China

    Cun-hong Pan  (潘存鸿)

Authors
  1. Li-hui Wang  (王立辉)
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  2. Cun-hong Pan  (潘存鸿)
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Corresponding author

Correspondence to Cun-hong Pan  (潘存鸿).

Additional information

Project supported by the Major Program of the Natural Science Foundation of China (Grant No. 51079130), the Fujian Provincial Major Course of Hydraulic.

Biography: WANG Li-hui (1972-), Male, Ph. D., Senior Engineer

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Wang, Lh., Pan, Ch. An analysis of dam-break flow on slope. J Hydrodyn 26, 902–911 (2014). https://doi.org/10.1016/S1001-6058(14)60099-8

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  • DOI: https://doi.org/10.1016/S1001-6058(14)60099-8

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