Skip to main content

Advertisement

SpringerLink
Log in

Numerical Study of the Water Surface Movement During a Dam Break on a Slope with Cascade Dike from Sediment

  • Published:
Water Resources Management Aims and scope Submit manuscript

Abstract

A dam break in a real area with underlying cascading reservoirs is an extremely dangerous disaster. In this work, a numerical simulation of the flow during the dam break of the reservoir in a cascade sequence with subsequent sediment transport was carried out. To validate the mathematical model and the numerical algorithm, two test problems were performed, the first one was the evolution of complex dam break flows on an inclined surface, and the second problem was a dam break taking into account sediments. The obtained numerical results were compared with experimental data and numerical results of other authors. To take into account the evolution of sediments, an incompressible flow was considered, which includes three phases: water, air, and sediment phases. To describe this process, a modified model was used that takes into account the Newtonian model for describing the movement of liquid and air, and a non-Newtonian model was used to describe the movement of sediment. To reduce the peak pressure on the dam walls, an embankment dam was used, located between the dams, which reduces the peak pressure on the lower wall of the dam. From the obtained data, it can be seen that the various properties of the embankment dam have a very strong influence on the obtained solutions, both in terms of the pressure distribution on the walls of the dam and changes in the water level. At the same time, it should be noted that there is an effect of a strong oscillatory change in the water surface, which can negatively affect the downstream dams. And also, with certain properties of the deposit, one can notice almost 1.8 times decrease in pressure on the wall of the underlying dam. The results of this work can be valuable in the field of water resources and hydropower to prevent dam break of a cascade group of reservoirs. Thus, this study focuses on the flooding process during the dam break of a cascade dam.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15
Fig. 16
Fig. 17
Fig. 18
Fig. 19
Fig. 20
Fig. 21
Fig. 22

Similar content being viewed by others

Availability of Data and Materials

The datasets used and/or analyzed during the current study are available from the corresponding author on reasonable request.

References

  • Aliparast M (2009) Two-dimensional finite volume method for dam-break flow simulation. Int J Sedim Res 24(1):99–107

    Article  Google Scholar 

  • Altomare C, Tafuni A, Domínguez JM, Crespo AJC, Gironella X, Sospedra J (2020) SPH simulations of real sea waves impacting a large-scale structure. J Mar Sci Eng 8:826

    Article  Google Scholar 

  • Alvarez M, Puertas J, Pena E, Bermudez M (2017) Two-dimensional dam-break flood analysis in data-scarce regions: The case study of chipembe dam. Mozambique Water 9:432

    Google Scholar 

  • Ancey C, Cochard S, Andreini N (2009) The dam-break problem for viscous fluids in the high-capillary-number limit. J Fluid Mech 624:1–22

    Article  Google Scholar 

  • Aureli F, Maranzoni A, Mignosa P, Ziveri C (2008) Dam-break flows: Acquisition of experimental data through an imaging technique and 2D numerical modeling. J Hydraul Eng 134(8):1089–1101

    Article  Google Scholar 

  • Bao Y, Chen J, Sun X, Han X, Li Y, Zhang Y, Wang J (2019) Debris flow prediction and prevention in reservoir area based on finite volume type shallow-water model: a case study of pumped-storage hydroelectric power station site in Yi County, Hebei, China. Environ Earth Sci 78(19)

  • Bout B, Lombardo L, van Westen CJ, Jetten VG (2018) Integration of two-phase solid fluid equations in a catchment model for flashfloods, debris flows and shallow slope failures. Environ Modell Softw 105:1–16

    Article  Google Scholar 

  • Brocchini M, Baldock TE (2008) Recent advances in modeling swash zone dynamics: influence of surf-swash interaction on nearshore hydrodynamics and morphodynamics. Rev Geophys 46(3):RG3003

    Article  Google Scholar 

  • Brooks GR, Lawrence DE (2000) Geomorphic effects of flooding along reaches of selected rivers in the Saguenay region, Quebec, July 1996. Géograp Phys Et Quat 54(3):281–299

    Article  Google Scholar 

  • Capart H, Spinewine B, Young DL, Zech Y, Brooks GR, Leclerc M, Secretan Y (2007) The 1996 Lake Ha! Ha! breakout flood, Québec: Test data for geomorphic flood routing methods. J Hydraulic Res 45(Extra Issue):97–109

    Article  Google Scholar 

  • Chanson H (2006) Analytical solutions of laminar and turbulent dam break wave. In River Flow 2006: Proceedings of the international conference on fluvial hydraulics (pp 465–474). London: Taylor & Francis

  • Chen HY, Xu WL, Deng J, Xue Y, Li J (2014) Experimental investigation of pressure load exerted on a downstream dam by dam-break flow. J Hydraul Eng 140(2):199–207

    Article  Google Scholar 

  • Chen R, Shao S, Liu X, Zhou X (2015) Applications of shallow water SPH model in mountainous rivers. J Appl Fluid Mech 8(4):863–870

    Article  Google Scholar 

  • Cochard S, Ancey C (2007) Tracking the free surface of time-dependent flows: Image processing for the dam-break problem. Exp Fluids 44(1):59–71

    Article  Google Scholar 

  • Dai S, He Y, Yang J, Ma Y, Jin S, Liang C (2020) Numerical study of cascading dam-break characteristics using SWEs and RANS. Water Sci Technol Water Supply 20(1):348–360

    Article  Google Scholar 

  • Doeing BJ, Williams DT (2001) Development, Calibration, Confirmation, Project Production Runs and Sensitivity Analyses of One Dimensional Sediment Transport Models, in Bridging the Gap: Meeting the World’s Water and Environmental Resources Challenges, edited by D. Phelps and G. Shelke, CD-ROM, ASCE, Washington, D. C

  • Domínguez JM, Crespo AJ, Hall M, Altomare C, Wu M, Stratigaki V, Gómez-Gesteira M (2019) SPH simulation of floating structures with moorings. Coastal Eng 153:103560

    Article  Google Scholar 

  • Dressler RF (1952) Hydraulic resistance effect upon the dam-break functions. J Res Natl Bur Stand 49(3):217–225

    Article  Google Scholar 

  • Eaket J, Hicks FE, Peterson AE (2005) Use of stereoscopy for dam break flow measurement. J Hydraul Eng 131(1):24–29

    Article  Google Scholar 

  • Elfrink B, Baldock T (2002) Hydrodynamics and sediment transport in the swash zone: a review and perspectives. Coast Eng 45(3–4):149–167

    Article  Google Scholar 

  • Fraccarollo L, Toro EF (1995) Experimental and numerical assessment of the shallow water model for two-dimensional dam-break type problems. J Hydraul Res 33:843–864

    Article  Google Scholar 

  • Howard AD (1994) A detachment-limited model of drainage basin evolution. Water Resour Res 30:2261–2285

    Article  Google Scholar 

  • Hunt B (1984) Dam-break solution. J Hydraul Eng 110(6):675–686

    Article  Google Scholar 

  • Issa RI (1986) Solution of the implicitly discretized fluid flow equations by operator splitting. J Comput Phy 62(1):40–65

    Article  Google Scholar 

  • Issakhov A, Abylkassymova A, Issakhov A (2022a) Assessment of the influence of the barriers height and trees with porosity properties on the dispersion of emissions from vehicles in a residential area with various types of building developments. J Clean Prod 132581. https://doi.org/10.1016/j.jclepro.2022.132581

  • Issakhov A, Borsikbayeva A (2021) The impact of a multilevel protection column on the propagation of a water wave and pressure distribution during a dam break: Numerical simulation. J Hydrol 598:126212

    Article  Google Scholar 

  • Issakhov A, Imanberdiyeva M (2019) Numerical simulation of the movement of water surface of dam break flow by VOF methods for various obstacles. Int J Heat Mass Transf 136:1030–1051

    Article  Google Scholar 

  • Issakhov A, Omarova P (2021) Modeling and analysis of the effects of barrier height on automobiles emission dispersion. J Clean Prod 296126450. https://doi.org/10.1016/j.jclepro.2021.126450

    Article  Google Scholar 

  • Issakhov A, Tursynzhanova A, Abylkassymova A (2022b) Numerical study of air pollution exposure in idealized urban street canyons: Porous and solid barriers. Urban Clim 43101112. https://doi.org/10.1016/j.uclim.2022.101112

    Article  Google Scholar 

  • Issakhov A, Zhandaulet Y (2020) Numerical study of dam break waves on movable beds for complex terrain by volume of fluid method. Water Resour Manag 34(2):463–480

    Article  Google Scholar 

  • Issakhov A, Zhandaulet Y, Nogaeva A (2018) Numerical simulation of dam break flow for various forms of the obstacle by VOF method. Int J Multiph Flow 109:191–206

    Article  Google Scholar 

  • Khoshkonesh A, Nsom B, Bahmanpouri F, Dehrashid FA, Adeli A (2021) Numerical study of the dynamics and structure of a partial dam-break flow using the VOF method. Water Resour Manag 35(5):1513–1528

    Article  Google Scholar 

  • Kleefsman KMT, Fekken G, Veldman AEP, Iwanowski B, Buchner B (2005) A volume-of-fluid based simulation method for wave impact problems. J Comput Phys 206(1):363–393

    Article  Google Scholar 

  • Kocaman S, Ozmen-Cagatay H (2012) The effect of lateral channel contraction on dam break flows: Laboratory experiment. J Hydrol 432–433:145–153

    Article  Google Scholar 

  • LaRocque LA, Imran J, Chaudhry MH (2013) Experimental and numerical investigations of two-dimensional dam-break flows. J Hydraul Eng 139(6):569–579

    Article  Google Scholar 

  • Liang D (2010) Evaluating shallow water assumptions in dam-break flows. Proc Inst Civ Eng Water Manag 163(5):227–237

    Article  Google Scholar 

  • Luo J, Xu W, Tian Z, Chen H (2017) Numerical simulation of cascaded dam-break flow in downstream reservoir. Proc Inst Civ Eng Water Manag 1–13

  • Manenti S, Wang D, Domínguez JM, Li S, Amicarelli A, Albano R (2019) SPH modeling of water-related natural hazards. Water 11:1875

    Article  Google Scholar 

  • Marsooli R, Wu W (2014) 3-D finite-volume model of dam-break flow over uneven beds based on VOF method. Adv Water Resour 70:104–117

    Article  Google Scholar 

  • Marsooli R, Wu W (2015) Three-dimensional numerical modeling of dam-break flows with sediment transport over movable beds. J Hydraul Eng 141(1):04014066

    Article  Google Scholar 

  • Masselink G, Puleo JA (2006) Swash-zone morphodynamics. Cont Shelf Res 26(5):661–680

    Article  Google Scholar 

  • Mignot E, Paquier A, Ishigaki T (2006) Comparison of numerical and experimental simulations of a flood in a dense urban area. Water Sci Technol 54(6–7):65–73

    Article  Google Scholar 

  • Minussi RB, De Freitas MG (2012) Numerical experimental comparison of dam break flows with non-newtonian fluids. J Brazilian Soc Mech Sci Eng 34(2):167–178

    Article  Google Scholar 

  • Nsom B (2002) Horizontal viscous dam-break flow: Experiments and theory. J Hydraul Eng 128(5):543

    Article  Google Scholar 

  • Orendorff B, Rennie CD, Nistor I (2011) Using PTV through an embankment breach channel. J Hydro Environ Res 5(4):277–287

    Article  Google Scholar 

  • Ozmen-Cagatay H, Kocaman S (2010) Dam-break flows during initial stage using SWE and RANS approaches. J Hydraul Res 48(5):603–611

    Article  Google Scholar 

  • Ozmen-Cagatay H, Kocaman S, Guzel H (2014) Investigation of dam-break flood waves in a dry channel with a hump. J Hydro Environ Res 8(3):304–315

    Article  Google Scholar 

  • Ran Q, Tong J, Shao S, Fu X, Xu Y (2015) Incompressible SPH scour model for movable bed dam break flows. Adv Water Resour 82:39–50

    Article  Google Scholar 

  • Ritter A (1892) The propagation of water waves. Ver Deutsch Ingenieur Zeitschr, Part 2 36(33):947–954

    Google Scholar 

  • Roubtsova V, Kahawita R (2006) The SPH technique applied to free surface flows. Comput Fluids 35(10):1359–1371

    Article  Google Scholar 

  • Simpson G, Castelltort S (2006) Coupled model of surface water flow, sediment transport and morphological evolution. Comput Geosci 32(10):1600–1614

    Article  Google Scholar 

  • Simpson GDH, Schlunegger F (2003) Topographic evolution and morphology of surfaces evolving in response to coupled fluvial and hillslope sediment transport. J Geophys Res 108:2300

    Google Scholar 

  • Soares-Frazão S (2007) Experiments of dam-break wave over a triangular bottom sill. J Hydraul Res 45:19–26

    Article  Google Scholar 

  • Spinewine B, Zech Y (2007) Small-scale laboratory dam-break waves on movable beds. J Hydraul Res 45(sup1):73–86

    Article  Google Scholar 

  • Subramaniam SP, Scheres B, Schilling M, Liebisch S, Kerpen NB, Schlurmann T, Schüttrumpf H (2019) Influence of convex and concave curvatures in a coastal dike line on wave run-up. Water 11:1333

    Article  Google Scholar 

  • Trimulyono A, Hashimoto H (2019) Experimental validation of smoothed particle hydrodynamics on generation and propagation of water waves. J Mar Sci Eng 7:17

    Article  Google Scholar 

  • Wang Y, Liang Q, Kesserwani G, Hall JW (2011) A 2D shallow flow model for practical dam-break simulations. J Hydraul Res 49:307–316

    Article  Google Scholar 

  • Wobus CW, Kean JW, Tucker GE, Anderson RS (2008) Modeling the evolution of channel shape: balancing computational efficiency with hydraulic fidelity. J Geophys Res Earth Surf 113

  • Xu WL, Chen HY, Xue Y, Niu ZP (2013) The chain of dam break in cascade reservoirs, 1st edn. China Water Power Press, Beijing, China. (in Chinese)

    Google Scholar 

  • Xue Y, Xu WL, Luo SJ et al (2011) Experimental study on dam-break flow in cascade reservoirs with steep bottom slope. J Hydrodyn 23(4):491–497

    Article  Google Scholar 

  • Zech Y, Soares-Frazão S, Spinewine B, Savary C, Goutière L (2009) Inertia effects in bed-load transport models. Canadian J Civil Eng 36(10):1587–1597

    Article  Google Scholar 

  • Zubeldia EH, Fourtakas G, Rogers BD, Farias MM (2018) Multi-phase SPH model for simulation of erosion and scouring by means of the shields and Drucker-Prager criteria. Adv Water Resour 117:98–114

    Article  Google Scholar 

Download references

Funding

This work is supported by the grant from the Ministry of education and science of the Republic of Kazakhstan (AP09058406).

Author information

Authors and Affiliations

  1. Al-Farabi Kazakh National University, Almaty, Republic of Kazakhstan

    Alibek Issakhov & Yeldos Zhandaulet

  2. Kazakh British Technical University, Almaty, Republic of Kazakhstan

    Alibek Issakhov & Aizhan Abylkassymova

  3. International Information Technology University, Almaty, Republic of Kazakhstan

    Alibek Issakhov

Authors
  1. Alibek Issakhov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Yeldos Zhandaulet
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Aizhan Abylkassymova
    View author publications

    You can also search for this author in PubMed Google Scholar

Contributions

Alibek Issakhov has made the conception and designs of the study, Yeldos Zhandaulet has made simulation, analysis and interpretation of data, Aizhan Abylkassymova has made revision, analysis and interpretation of data.

Corresponding author

Correspondence to Alibek Issakhov.

Ethics declarations

Ethics Approval

Compliance with ethical standards.

Consent to Participate

Not applicable.

Consent for Publication

All authors agree to publish.

Conflict of Interests

The authors declare that there is no conflict of interests regarding the publication of this paper.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Issakhov, A., Zhandaulet, Y. & Abylkassymova, A. Numerical Study of the Water Surface Movement During a Dam Break on a Slope with Cascade Dike from Sediment. Water Resour Manage 36, 3435–3461 (2022). https://doi.org/10.1007/s11269-022-03180-7

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11269-022-03180-7

Keywords

Search

Navigation