Skip to main content
SpringerLink
Log in

Numerical Simulation of the Water Surface Movement with Macroscopic Particles of Dam Break Flow for Various Obstacles

  • Published:
Water Resources Management Aims and scope Submit manuscript

Abstract

In this paper, the movement of the water surface with macroscopic particles during a dam break flow using the volume of fluid (VOF) methods and the DPM and MPM models were numerically simulated. The numerical simulation is based on the averaged Navier-Stokes equations, and was closed by the LES turbulent model, representing by the incompressible viscous fluid flow, equations for the phase and particle motion. The PISO numerical algorithm was chosen to solve this equation system numerically. The accuracy of the mathematical model and the selected numerical scheme were compared with experimental measurements on the destruction of the dam break problem. In test problem, the values were matched with measurement values and simulation data of other authors, as well as the improved model illustrated values close to the measured values. A matching was also made of the computational data with measured values using different turbulent models. One problem has been considered, the problem is water movement with macroscopic particles, through a heterogeneous terrain and a dam that has a hole. With the help of the problems, it was determined the flooding zones and the time of flooding evacuating people from dangerous areas.

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

Similar content being viewed by others

References

  • Agrawal M, Bakker A (2004) Macroscopic particle model – tracking big particles in CFD, AIChE 2004 annual meeting particle technology forum - paper 268b November 7–12. Texas, USA, Austin

    Google Scholar 

  • Amicarelli A, Kocak B, Sibilla S, Grabe J (2017) A 3D smoothed particle hydrodynamics model for erosional dam-break floods. Int J Comput Fluid Dynamics 31(10):413–434

  • Azimian M, Lichti M, Bart H-J (2014) Investigation of particulate flow in a channel by application of CFD, DEM and LDA/PDA. The Open Chem Eng J 8:1–11

  • Bhaganagar K, Pillalamarri NR (2017) Lock-exchange release density currents over three-dimensional regular roughness elements. J Fluid Mech 832:793–824

    Google Scholar 

  • Cao Z, Xia C, Pender G, Liu Q (2017) Shallow water hydro-sediment-Morphodynamic equations for fluvial processes. J Hydraul Eng 143(5):02517001

    Google Scholar 

  • Chara Z, Kysela B (2018) Application of macroscopic particle model to simulate motion of large particles. AIP Conf Proceedings 1978:030031

  • Colagrossi A, Landrini M (2003) Numerical simulation of interfacial flows by smoothed particle hydrodynamics. J Comput Phys 191(2):448–475

    Google Scholar 

  • Crespo AJ, Gуmez-Gesteira M, Dalrymple RA (2008) Modeling dam break behavior over a wet bed by a SPH technique. J Waterw Port Coast Ocean Eng 134(6):313–320

    Google Scholar 

  • Crespo AJC, Domínguez JM, Rogers BD, Gómez-Gesteira M, Longshaw S, Canelas R, Vacondio R, Barreiro A, Garcia-Feal O (2015) DualSPHysics: open-source parallel CFD solver based on smoothed particle hydrodynamics (SPH). Comput Phys Commun 187:204–216

    Google Scholar 

  • Dai Z, Huang Y (2016) A three-dimensional model for flow slides in municipal solid waste landfills using smoothed particle hydrodynamics. Environ Earth Sci 75(2):1–15. https://doi.org/10.1007/s12665-015-4923-4

    Article  Google Scholar 

  • Deardorff J (1970) A numerical study of three-dimensional turbulent channel flow at large Reynolds numbers. J Fluid Mech 41(2):453–480

    Google Scholar 

  • Ferrari A, Fraccarollo L, Dumbser M, Toro EF, Armanini A (2010) Three-dimensional flow evolution after a dam break. J Fluid Mech 663:456–477

    Google Scholar 

  • Fondelli T, Andreini A, Facchini B (2015) Numerical simulation of dam-break problem using an adaptive meshing approach. Energy Procedia 82:309–315

    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(6):843–864

    Google Scholar 

  • Haltas I, Elci S, Tayfur G (2016) Numerical simulation of flood wave propagation in two-dimensions in densely populated urban areas due to dam break. Water Resour Manag 30(15):5699–5721

    Google Scholar 

  • Harlow FH, Welch JE (1965) Numerical calculation of time-dependent viscous incompressible flow of fluid with free surface. Phys Fluids 8(12):2182–2189

    Google Scholar 

  • Hirt CW, Nichols BD (1981) Volume of fluid (VOF) method for the dynamics of free boundaries. J Comput Phys 39:201–225

    Google Scholar 

  • Huang Y, Dai ZL, Zhang WJ, Huang MS (2013) SPH-based numerical simulations of flow slides in municipal solid waste landfills. Waste Manag Res 31(3):256–264

    Google Scholar 

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

    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

    Google Scholar 

  • Issakhov A, Mashenkova A (2019) Numerical study for the assessment of pollutant dispersion from a thermal power plant under the different temperature regimes. Int J Environ Sci Technol 16(10):6089–6112

    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 Multiphase Flow 109:191–206

    Google Scholar 

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

  • Issakhov A, Zhandaulet Y (2020b) Numerical study of dam break waves on movable beds for various forms of the obstacle by VOF method. Ocean Eng 209:107459

  • Issakhov A, Zhandaulet Y, Abylkassymova A (2020) Numerical simulation of the water surface movement with macroscopic particles on movable beds. Water Resour Manag 34(8):2291–2311

  • Kalita HM (2016) A new Total variation diminishing predictor corrector approach for two-dimensional shallow water flow. Water Resour Manag 30(4):1481–1497

    Google Scholar 

  • Kerst K, Roloff C, Medeiros de Souza LG, Bartz A, Seidel-Morgenstern A, Thévenin D, Janiga G (2017) CFD-DEM simulations of a fluidized bed crystallizer. Chem Eng Sci 165:1–13

    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

    Google Scholar 

  • Kocaman S (2007) Experimental and theoretical investigation of dam-break problem. University of Cukurova: Adana, Ph.D. dissertation

  • Koshizuka S, Oka Y (1996) Moving-particle semi-implicit method for fragmentation of incompressible fluid. Nucl Sci Eng 123(3):421–434

    Google Scholar 

  • Kuipers JAM, Van Duin KJ, Van Beckum FPH, Van Swaaij WPM (1992) A numerical model of gas-fluidized beds. Chem Eng Sci 47(8):1913–1924

    Google Scholar 

  • La Rocca M, Montessori A, Prestininzi P, Elango L (2018) A discrete Boltzmann equation model for two-phase shallow granular flows. Comput Math Appl 75(8):2814–2824

    Google Scholar 

  • Li Q (2016) Numerical simulation of melt filling process in complex mold cavity with insets using IB-CLSVOF method. Comput. Fluids 132:94–105

  • Li X, Zhao J (2018) Dam-break of mixtures consisting of non-Newtonian liquids and granular particles. Powder Technol 338:493–505

    Google Scholar 

  • Lobovský L, Botia-Vera E, Castellana F, Mas-Soler J, Souto-Iglesias A (2014) Experimental investigation of dynamic pressure loads during dam break. J Fluid Struct 48:407–434

    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

    Google Scholar 

  • Molteni D, Colagrossi A (2009) A simple procedure to improve the pressure evaluation in hydrodynamic context using the SPH. Comput Phys Commun 180:861–872

    Google Scholar 

  • Monaghan JJ, Rafiee A (2013) A simple SPH algorithm for multi-fluid flow with high density ratio. Int J Numer Methods Fluids 71(5):537–561

    Google Scholar 

  • Nabian MA, Farhadi L (2016) Multiphase mesh-free particle method for simulating granular flows and sediment transport. J Hydraul Eng 143(4):04016102

    Google Scholar 

  • Nayamatullah M, Narasimha Rao P, Kiran B (2018) Large-eddy-simulation approach in understanding flow structures of 2D turbulent density currents over sloping surfaces. Fluid Dynamics Res 50(2):025506

  • Ng KC, Hwang YH, Sheu TWH (2014) On the accuracy assessment of Laplacian models in MPS. Comput Phys Commun 185:2412–2426

    Google Scholar 

  • Ng KC, Hwang YH, Sheu TWH, Yu CH (2015) Moving particle level-set (MPLS) method for incompressible multiphase flow computation. Comput Phys Commun 196:317–334

    Google Scholar 

  • Nsom B, Debiane K, Piau JM (2000) Bed slope effect on the dam break problem. J Hydraul Res 38(6):459–64

  • Ozmen-Cagatay H, Kocaman S (2011) Dam-break flow in the presence of obstacle: experiment and CFD simulation. Eng Appl Comp Fluid Mech 5(4):541–552

  • Pahar G, Dhar A (2017) Coupled incompressible smoothed particle hydrodynamics model for continuum-based Modelling of sediment transport. Adv Water Resour S0309-1708(16):30425

    Google Scholar 

  • Papa MN, Sarno L, Vitiello FS, Medina V (2018) Application of the 2D depth-averaged model, FLATModel, to Pumiceous debris flows in the Amalfi coast. Water 10(9):1159

    Google Scholar 

  • Park IR, Kim KS, Kim J, Van SH (2012) Numerical investigation of the effects of turbulence intensity on dam-break flows. Ocean Eng 42:176–187

    Google Scholar 

  • Pelanti M, Bouchut F, Mangeney A (2011) A Riemann solver for single-phase and two-phase shallow flow models based on relaxation. Relations with roe and VFRoe solvers. J Comput Phys 230(3):515–550

    Google Scholar 

  • Pitman EB, Le L (2005) A two-fluid model for avalanche and debris flows. Phil Trans R Soc A 363(1832):1573–1601

    Google Scholar 

  • San-Yih L, Yi-Cheng C (2013) A pressure correction-volume of fluid method for simulations of fluid–particle interaction and impact problems. Int J Multiphase Flow, 48 49:31

  • Scardovelli R, Zaleski S (1999) Direct numerical simulation of free-surface and interfacial flow. Annu Rev Fluid Mech 31:567–603

    Google Scholar 

  • Shao S, Lo EY (2003) Incompressible SPH method for simulating Newtonian and non-Newtonian flows with a free surface. Adv Water Resour 26(7):787–800

    Google Scholar 

  • Shigematsu T, Liu PLF, Oda K (2004) Numerical modeling of the initial stages of dam-break waves. J Hydraul Res 42(2):183–195

    Google Scholar 

  • Smagorinsky J (1963) General circulation experiments with the primitive equations. Mon Weather Rev 91(3):99–164

    Google Scholar 

  • Soares-Frazao S, Zech Y (2011) HLLC scheme with novel wave-speed estimators appropriate for two-dimensional shallow-water Flowon erodible bed. Int J Numer Methods Fluids 66:1019–1036

    Google Scholar 

  • Spinewine B (2005) Two-Layer Flow Behavior and the Effects of Granular Dilatancy in Dam-Break Induced Sheet-Flow. Faculte des sciences appliquees, Universite catholique de Louvain

  • Sussman M, Fatemi E, Smereka P, Osher S (1998) An improved level set method for incompressible two-phase flows. Comput Fluids 27(5):663–680

    Google Scholar 

  • Toro EF (2001) Shock-capturing methods for free-surface shallow flows. Wiley, Chichester, U.K

  • Wadnerkar D, Agrawal M, Tade MO, Pareek V (2016) Hydrodynamics of macroscopic particles in slurry suspensions. Asia-Pac J Chem Eng 11(3):467–479

  • Wang C, Wang Y, Peng C, Meng X (2016) Smoothed particle hydrodynamics simulation of water-soil mixture flows. J Hydraul Eng 142(10):04016032

    Google Scholar 

  • Yang J, Stern FJ (2009) Sharp interface immersed-boundary/level-set method for wave–body interactions. Comput Phys 228(17):6590–6616

    Google Scholar 

  • Zhai J, Liu W, Yuan L (2016) Solving two-phase shallow granular flow equations with a well-balanced NOC scheme on multiple GPUs. Comput Fluids 134:90–110

    Google Scholar 

  • Zhang Y, Zou Q, Greaves D, Reeve D, Hunt-Raby A, Graham D, James P, Lv X (2010) A level set immersed boundary method for water entry and exit. Commun Comput Phys 8(2):265–288

    Google Scholar 

  • Zhang C, Lin N, Tang Y, Zhao C (2014) A sharp interface immersed boundary/VOF model coupled with wave generating and absorbing options for wave-structure interaction. Comput Fluids 89:214–231

    Google Scholar 

  • Zhao Y, Chen H-C (2017) A new coupled level set and volume-of-fluid method to capture free surface on an overset grid system. Int J Multiphase Flow 90:144–155

    Google Scholar 

Download references

Acknowledgements

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

Author information

Authors and Affiliations

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

    Alibek Issakhov & Medina Imanberdiyeva

  2. Kazakh British Technical 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. Medina Imanberdiyeva
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Alibek Issakhov.

Ethics declarations

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., Imanberdiyeva, M. Numerical Simulation of the Water Surface Movement with Macroscopic Particles of Dam Break Flow for Various Obstacles. Water Resour Manage 34, 2625–2640 (2020). https://doi.org/10.1007/s11269-019-02382-w

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11269-019-02382-w

Keywords

Search

Navigation