Depth-Averaged Hydrodynamic Model for Gradual Breaching of Embankment Dams Attributable to Overtopping Considering Suspended Sediment Transport
Publication: Journal of Hydraulic Engineering
Volume 139, Issue 6
Abstract
A numerical model for simulation of embankment dams’ gradual breaching because of overtopping, named embankments breach software (EBS), is introduced in this paper. The model solves the equations for the depth-averaged flow (modified for shallow water flow on steep slopes), the turbulence model, the sediment transport, and the bed elevation change in a coupled manner. An upwind cell center finite volume method is applied for developing the discrete form of the differential equations. A linearized scheme with second-order accuracy in space and explicit time integration on unstructured triangular meshes is utilized in this model. To simulate the flow over dry sloping surfaces of the embankment dam configuration, the developed model considers a powerful wetting and drying technique. Furthermore, the abilities of the model enhanced simulation of sudden bank failure of the breach channel because of the base erosion and transport of the failed solid material.
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Acknowledgments
The model presented in this paper is a result of a research project sponsored by the Office of Applied Researches of Iran Water Resources Management Company (IWRMC)—Ministry of Energy of I.R.Iran, under Grant No. DAM2-85116, and the authors gratefully acknowledge the support provided by the mentioned source.
References
Babarutsi, S., and Chu, V. H. (1998). “Modeling transverse mixing layer in shallow open channel flows.” J. Hydraul. Eng., 124(7), 718–727.
Bermudez, A., and Vazquez-Cendon, M. E. (1994). “Upwind methods for hyperbolic conservation laws with source terms.” Comput. Fluids, 23(8), 1049–1071.
Brethour, J. M. (2001). “Transient 3D model for lifting, transporting, and depositing solid material flow.” 3rd Int. Symp. on Environmental Hydraulics, Flow Science, New Mexico.
Brufau, P., Vazquez-Cendon, M. E., and Garcia-Navarro, P. (2002). “A numerical model for the flooding and drying of irregular domains.” Int. J. Numer. Methods Fluids, 39(3), 247–275.
Caleffi, V., and Valiani, A. (2002). “A mathematical model for dam-break over movable bed.” River flow 2002, Proc., Int. Conf. on Fluvial Hydraulics, A. A. Balkema Publishers, Lisse, The Netherlands.
Cao, Z., Pender, G., Wallis, S., and Carling, P. (2004). “Computational dam-break hydraulics over erodible sediment bed.” J. Hydraul. Eng., 130(7), 689–703.
Capart, H., and Young, D. L. (1998). “Formation of a jump by the dam-break wave over a granular bed.” J. Fluid Mech., 372, 165–187.
Castro Diaz, M. J., Fernandez-Nieto, E. D., and Ferreiro, A. M. (2008). “Sediment transport models in shallow water equations and numerical approach by high order finite volume methods.” Comput. Fluids, 37(3), 299–316.
Cea, L., Puertas, J., and Vazquez-Cendon, M. E. (2007). “Depth averaged modeling of turbulent shallow water flow with wet-dry fronts.” J. Archit. Comput. Methods Eng., 14(3), 303–341.
Coleman, S. E., Andrews, D. P., and Webby, M. G. (2002). “Overtopping breaching of non-cohesive homogeneous embankments.” J. Hydraul. Eng., 128(9), 829–838.
Costa, J. E. (1985). “Floods from dam failures.”, U.S. Geological Survey, Denver, CO.
Darby, S. E., and Thorne, C. R. (1996). “Numerical simulation of widening and bed deformation of straight sand bed rivers. I: Model development.” J. Hydraul. Eng., 122(4), 184–193.
Duan, J. G., and Nanda, S. K. (2006). “Two-dimensional depth-averaged model simulation of suspended sediment concentration distribution in a groyne field.” J. Hydrol., 327(3–4), 426–437.
Fread, D. L. (1988a). BREACH: An erosion model for earthen dam failures, National Weather Service, National Oceanic and Atmospheric Administration, Silver Spring, MD.
Fread, D. L. (1988b). The NWS DAMBRK model: Theoretical background/user documentation, National Weather Service, National Oceanic and Atmospheric Administration, Silver Spring, MD.
Froehlich, D. C. (2002). “IMPACT project field tests 1 and 2: ‘blind’ simulation by Dave F.” 2nd IMPACT Project Workshop, IMPACT.
Han, Q. W. (1980). “A study on the non-equilibrium transportation of suspended load.” Proc., 1st Int. Symp. on River Sedimentation, A.A. Balkema Publishers, Rotterdam, Netherlands.
Hanson, G. (2007). “The national dam safety program.”, Federal Emergency Management Agency (FEMA), Washington, DC.
Hanson, G. J., Cook, K. R., Hahn, W., and Britton, S. L. (2003). “Observed erosion processes during embankment overtopping tests.” ASAE Annual Int. Meeting, American Society of Agricultural Engineers.
Harten, A., Lax, P. D., and Van Leer, B. (1983). “On upstream differencing and godunov-type schemes for hyperbolic conservation laws.” J. Comput. Phys., 25(1), 35–61.
Holly, F. M., Jr., and Rahuel, J. L. (1990). “New numerical/physical framework for mobile-bed modeling. Part I: Numerical and physical principles.” J. Hydraul. Res., 28(4), 401–416.
Jia, Y., Wang, S. S. Y., and Xu, Y. (2002). “Validation and application of a 2D model to channels with complex geometry.” Int. J. Comput. Sci., 3(1), 57–71.
LeVeque, R. J. (2002). Finite volume methods for hyperbolic problems, Cambridge University Press, United Kingdom.
Mohamadi-Kordkheili, A. (2007). “Semi-3D numerical modeling of overtopping breaching of non-cohesive homogeneous embankment dam.” M.Sc. thesis, K. N. Toosi Univ. of Technology, Tehran, Iran.
Mohammadian, A., and Le Roux, D. Y. (2006). “Simulation of shallow flows over variable topographies using unstructured grids.” Int. J. Numer. Methods Fluids, 52(5), 473–498.
Olsen, N. R. B. (2000). CFD algorithms for hydraulic engineering, Dept. of Hydraulic and Environmental Engineering, The Norwegian Univ. of Science and Technology, Norway.
Osman, A. M., and Thorne, C. R. (1988). “Riverbank stability analysis. I: Theory.” J. Hydraul. Eng., 114(2), 134–150.
Sabbagh-Yazdi, S. R., Mastorakis, E. N., and Zounemat-Kermani, M. (2007). “Velocity profile over spillway by finite volume solution of slopping depth averaged flow.” 2nd IASME/WSEAS Int. Conf. on Continuum Mechanics, World Scientific and Engineering Academy and Society (WSEAS), Greece.
Sabbagh-Yazdi, S. R., Mastorakis, N. E., and Saeedifar, A. B. (2008). “A cell center finite volume depth average flow solver for simulation of erosion, transport and deposition of fine non-cohesive sediments.” Int. J. Comput., 2(4), 47–57.
Simpson, G., and Castelltort, S. (2006). “Coupled model of surface water flow, sediment transport and morphological evolution.” Comput. Geosci., 32(10), 1600–1614.
Singh, V. (2005). “Two dimensional sediment transport model using parallel computers.” M.Sc. thesis, Banaras Hindu Univ., India.
Singh, V. P. (1996). Dam breach modeling technology, Kluwer Academic, Boston.
Singh, V. P., and Quiroga, C. A. (1987). “A dam breach erosion model. I. Formulation.” Water Resour. Manage., 1(3), 177–197.
Tingsanchali, T., and Chinnarasri, C. (2001). “Numerical modeling of dam failure due to flow overtopping.” Hydrolog. Sci. J., 46(1), 113–130.
Van Rijn, L. C. (1987). “Mathematical modeling of morphological processes in the case of suspended sediment transport.” Ph.D. thesis, Delft Univ. of Technology, Delft, Netherlands.
Van Rijn, L. C. (1993). Principles of sediment transport in rivers, estuaries and coastal seas, Aqua, Univ. of Utrecht Dept. of Physical Geography, Netherlands.
Versteeg, H. K., and Malalasekera, W. (2007). An introduction to computational fluid dynamics, the finite volume method, Pearson Education, UK.
Wahl, T. L. (2004). “Uncertainty of Predictions of Embankment Dam Breach Parameters.” J. Hydraul. Eng., 130(5), 389–397.
Wang, J. W., and Liu, R. X. (2000). “A comparative study of finite volume methods on unstructured meshes for simulation of 2D shallow water wave problems.” Math. Comput. Simul., 53(3), 171–184.
Wang, Z., and Bowles, D. S. (2006). “Three dimensional non-cohesive earthen dam breach model. Part 1: Theory and methodology.” Adv. Water Resour., 29(10), 1528–1545.
Wu, W. (2004). “Depth averaged two-dimensional numerical modeling of unsteady flow and non-uniform sediment transport in open channels.” J. Hydraul. Eng., 130(10), 1013–1024.
Wu, W., and Li, Y. (1992). “One and two dimensional nesting model for river flow and sedimentation.” Proc., 5th Int. Symp. on River Sedimentation, Karlsruhe, Germany.
Yang, C. T., Trevino, M. A., and Simoes, F. J. M. (1998). User manual for GSTARS 2.0 (generalized stream tube model for alluvial river simulation version 2.0), U.S. Bureau of Reclamation, Technical Service Center, Denver, CO.
Zanke, U. C. E. (2003). “Influence of turbulence on the initiation of sediment motion.” Int. J. Sediment Res., 18(1), 17–31.
Zhao, D. H., Shen, H. W., Lai, J. S., and Tabios, G. Q. (1996). “Approximate Riemann solvers in FVM for 2D hydraulic shock wave modeling.” J. Hydrol. Eng., 122(12), 692–702.
Zounemat-Kermani, M., and Sabbagh-Yazdi, S. R. (2010). “Coupling of two- and three-dimensional hydrodynamic numerical models for simulating wind-induced currents in deep basins.” Comput. Fluids, 39(6), 994–1011.
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Published In
Journal of Hydraulic Engineering
Volume 139 • Issue 6 • June 2013
Pages: 580 - 592
Copyright
© 2013 American Society of Civil Engineers.
History
Received: Aug 15, 2011
Accepted: Nov 12, 2012
Published online: Nov 13, 2012
Published in print: Jun 1, 2013
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