Numerical modeling of dam-break flood flows for dry and wet sloped beds

References

• Abdolmaleki, K., Thiagarajan, K., and Morris-Thomas, M. (2004). “Simulation of the dam break problem and impact flows using a Navier-Stokes solver.” Simulation, 13, 17.
   Google Scholar
• Aliparast, M. (2009). “Two-dimensional finite volume method for dam-break flow simulation.” Int. J. Sediment. Res, 24, 99–107. doi:10.1016/S1001-6279(09)60019-6
   Web of Science ®Google Scholar
• Anderson, T.B., and Jackson, R. (1967). “Fluid mechanical description of fluidized beds. Equations of motion.” Ind. Eng. Chem, 6, 527–539. doi:10.1021/i160024a007
   Web of Science ®Google Scholar
• Beam, R.M., and Warming, R.F. (1976). “An implicit finite-difference algorithm for hyperbolic systems in conservation-law form.” J. Comput. Phys., 22, 87–110. doi:10.1016/0021-9991(76)90110-8
   Web of Science ®Google Scholar
• Beljadid, A., Mohammadian, A., and Kurganov, A. (2016). “Well-balanced positivity preserving cell-vertex central-upwind scheme for shallow water flows.” Comput. Fluids, 136, 193–206. doi:10.1016/j.compfluid.2016.06.005
   Web of Science ®Google Scholar
• Bell, S.W., Elliot, R.C., and Hanif Chaudhry, M. (1992). “Experimental results of two-dimensional dam-break flows.” J. Hydraul. Res, 30, 225–252. doi:10.1080/00221689209498936
   Web of Science ®Google Scholar
• Bellos, C. (2004). “Experimental measurements of flood wave created by a dam break.” European Water, 7, 3–15.
   Google Scholar
• Bellos, C., Soulis, V., and Sakkas, J. (1992). “Experimental investigation of two-dimensional dam-break induced flows.” J. Hydraul. Res, 30, 47–63. doi:10.1080/00221689209498946
   Web of Science ®Google Scholar
• Biegowski, J., Paprota, M., and Sulisz, W. (2020). “Particle Image Velocimetry Measurements of Flow Over an Ogee-Type Weir in a Hydraulic Flume.” Int. J. Civ. Eng, 18, 1451–1462. doi:10.1007/s40999-020-00538-z
   Web of Science ®Google Scholar
• Bulat, M.P., and Bulat, P.V. (2013). “Comparison of turbulence models in the calculation of supersonic separated flows.” World. Appl. Sci. J, 27, 1263–1266.
   Google Scholar
• Cable, M. (2009). “An evaluation of turbulence models for the numerical study of forced and natural convective flow in Atria.” Kingston, Ontario, Canada: Queen’s University.
   Google Scholar
• Chanson, H. (2006a). Analytical solutions of laminar and turbulent dam break wave, River Flow 2006: Proc., Int. Conf. on Fluvial Hydraulics, Taylor and Francis, London, pp. 465–474.
   Google Scholar
• Chanson, H. (2006b). “Tsunami surges on dry coastal plains: Application of dam break wave equations.” Coast. Eng. J, 48, 355–370. doi:10.1142/S0578563406001477
   Web of Science ®Google Scholar
• Crespo, A., Gómez-Gesteira, M., and Dalrymple, R.A. (2008). “Modeling dam break behavior over a wet bed by a SPH technique.” J. Waterw. Port, Coast. Ocean. Eng, 134, 313–320. doi:10.1061/(ASCE)0733-950X(2008)134:6(313)
   Web of Science ®Google Scholar
• Davidson, L. (2006). “Evaluation of the SST-SAS model: Channel flow, asymmetric diffuser and axi-symmetric hill, ECCOMAS CFD.” ECCOMAS CFD 2006: Proceedings of the European Conference on Computational Fluid Dynamics, 1–20.
   Google Scholar
• Dressler, R.F. (1954). “Comparison of theories and experiments for the hydraulic dam-break wave.” Int. Assoc. Sci. Hydrology, 3, 319–328.
   Google Scholar
• Dressler, R.F. (1958). “Unsteady non-linear waves in sloping channels.“ Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences , 247, 186–198. London, UK.
   Google Scholar
• Feizi Khankandi, A., Tahershamsi, A., and Soares-Frazão, S. (2012). “Experimental investigation of reservoir geometry effect on dam-break flow.” J. Hydraul. Res, 50, 376–387. doi:10.1080/00221686.2012.690974
   Web of Science ®Google Scholar
• Fernandez-Feria, R. (2006). “Dam-break flow for arbitrary slopes of the bottom.” J. Eng. Math., 54, 319–331. doi:10.1007/s10665-006-9034-5
   Web of Science ®Google Scholar
• Fraccarollo, L., and Toro, E.F. (1995). “Experimental and numerical assessment of the shallow water model for two-dimensional dam-break type problems.” J. Hydraul. Res, 33, 843–864. doi:10.1080/00221689509498555
   Web of Science ®Google Scholar
• Frazão, S.S., and Zech, Y. (2002). “Dam break in channels with 90 Bend.” J. Hydraul. Eng, 128, 956–968. doi:10.1061/(ASCE)0733-9429(2002)128:11(956)
   Google Scholar
• Gabutti, B. (1983). “On two upwind finite-difference schemes for hyperbolic equations in non-conservative form.” Comput. Fluids, 11, 207–230. doi:10.1016/0045-7930(83)90031-2
   Web of Science ®Google Scholar
• Ghazizadeh, M.A., Mohammadian, A., and Kurganov, A. (2019). “An adaptive well-balanced positivity preserving scheme on quadtree grids for shallow water equations.“ Computers & Fluids . 208, 104633.
   Web of Science ®Google Scholar
• Hamlet, A.F., and Lettenmaier, D.P. (2007). “Effects of 20th century warming and climate variability on flood risk in the western US.” Water Resour Res, 43. doi:10.1029/2006WR005099
   PubMed Web of Science ®Google Scholar
• Hirt, C.W., and Nichols, B.D. (1981). “Volume of fluid (VOF) method for the dynamics of free boundaries.” J. Comput. Phys., 39, 201–225. doi:10.1016/0021-9991(81)90145-5
   Web of Science ®Google Scholar
• Holzmann, T., 2017. Mathematics, Numerics, Derivations and OpenFOAM (R), Holzmann CFD. Leoben, Austria. Retrieved from www.holzmann-cfd.de (2017).
   Google Scholar
• Hooshyaripor, F., and Tahershamsi, A. (2015). “Effect of reservoir side slopes on dam-break flood waves.” Eng. Appl. Comput. Fluid. Mech, 9, 458–468. doi:10.1080/19942060.2015.1039630
   Google Scholar
• Hunt, B. (1983). “Asymptotic solution for dam break on sloping channel.” J. Hydraul. Eng, 109, 1698–1706. doi:10.1061/(ASCE)0733-9429(1983)109:12(1698)
   Google Scholar
• Imanian, H., and Mohammadian, A. (2019). “Numerical simulation of flow over ogee crested spillways under high hydraulic head ratio.” Eng. Appl. Comput. Fluid. Mech, 13, 983–1000. doi:10.1080/19942060.2019.1661014
   Google Scholar
• Ismail, H., Ann Larocque, L., Bastianon, E., Hanif Chaudhry, M., and Imran, J. (2020). “Propagation of tributary dam-break flows through a channel junction.” J. Hydraul. Res 59(2), 214–223.
   Web of Science ®Google Scholar
• Juez, C., Soares-Frazao, S., Murillo, J., and García-Navarro, P. (2017). “Experimental and numerical simulation of bed load transport over steep slopes.” J. Hydraul. Res, 55, 455–469. doi:10.1080/00221686.2017.1288417
   Web of Science ®Google Scholar
• Kheirkhah Gildeh, H., Mohammadian, A., Nistor, I., Qiblawey, H., and Yan, X. (2016). “CFD modeling and analysis of the behavior of 30 and 45 inclined dense jets–new numerical insights.” J. Appl. Water Eng. Res, 4, 112–127. doi:10.1080/23249676.2015.1090351
   Web of Science ®Google Scholar
• Kocaman, S., and Ozmen-Cagatay, H. (2012). “The effect of lateral channel contraction on dam break flows: Laboratory experiment.” J. Hydrol, 432, 145–153. doi:10.1016/j.jhydrol.2012.02.035
   Web of Science ®Google Scholar
• LaRocque, L.A., Imran, J., and Chaudhry, M.H. (2013). “Experimental and numerical investigations of two-dimensional dam-break flows.” J. Hydraul. Eng, 139, 569–579. doi:10.1061/(ASCE)HY.1943-7900.0000705
   Google Scholar
• Lauber, G., and Hager, W.H. (1998). “Experiments to dambreak wave: Horizontal channel.” J. Hydraul. Res., 36, 291–307. doi:10.1080/00221689809498620
   Web of Science ®Google Scholar
• Lee, C.H. (2018). “Rough boundary treatment method for the shear-stress transport k-ω model.” Eng. Appl. Comput. Fluid. Mech, 12(1), 261–269. doi:10.1080/19942060.2017.1410497
   Google Scholar
• Li, X., and Zhao, J. (2018). “Dam-break of mixtures consisting of non-Newtonian liquids and granular particles.” Powder. Technol, 338, 493–505. doi:10.1016/j.powtec.2018.07.021
   Web of Science ®Google Scholar
• Lindblad, D., Jareteg, A., and Petit, O. (2014). “Implementation and run-time mesh refinement for the k− ω SST DES turbulence model when applied to airfoils.” Gothenburg, Sweden: Project work. Chalmers University of Technology.
   Google Scholar
• Liu, X., Mohammadian, A., Sedano, J.Á.I., and Kurganov, A. (2017). “Three-dimensional shallow water system: A relaxation approach.” J. Comput. Phys., 333, 160–179. doi:10.1016/j.jcp.2016.12.030
   Web of Science ®Google Scholar
• Liu, W., Wang, B., Guo, Y., Zhang, J., and Chen, Y. (2020). “Experimental investigation on the effects of bed slope and tailwater on dam-break flows.” J. Hydrol, 590, 125256. doi:10.1016/j.jhydrol.2020.125256
   Web of Science ®Google Scholar
• Mangeney, A., Heinrich, P., and Roche, R. (2000). “Analytical solution for testing debris avalanche numerical models.” Pure. Appl. Geophys, 157, 1081–1096. doi:10.1007/s000240050018
   Web of Science ®Google Scholar
• Meile, T., Boillat, J.-L., and Schleiss, A.J. (2013). “Propagation of surge waves in channels with large-scale bank roughness.” J. Hydraul. Res, 51, 195–202. doi:10.1080/00221686.2012.738876
   Web of Science ®Google Scholar
• Menter, F.R., Kuntz, M., and Langtry, R. (2003). “Ten years of industrial experience with the SST turbulence model.” Turbulence, Heat and Mass Transfer, 4, 625–632.
   Google Scholar
• Miller, S., and Hanif Chaudhry, M. (1989). “Dam-break flows in curved channel.” J. Hydraul. Eng, 115, 1465–1478. doi:10.1061/(ASCE)0733-9429(1989)115:11(1465)
   Google Scholar
• Mingham, C., and Causon, D. (1998). “High-resolution finite-volume method for shallow water flows.” J. Hydraul. Eng, 124, 605–614. doi:10.1061/(ASCE)0733-9429(1998)124:6(605)
   Web of Science ®Google Scholar
• Mohammadian, A., Le Roux, D., and Tajrishi, M. (2007). “A conservative extension of the method of characteristics for 1-D shallow flows.” Appl. Math. Model., 31, 332–348. doi:10.1016/j.apm.2005.11.018
   Web of Science ®Google Scholar
• Mohsenabadi, S.E., Mohammadian, M., Nistor, I., and Gildeh, H.K. (2019). CFD modelling of near-field dam break flow, Sustainable and Safe Dams Around the World/Un monde de barrages durables et sécuritaires: Proceedings of the ICOLD 2019 Symposium,(ICOLD 2019), June 9-14, 2019 Publications du symposium CIGB 2019, Ottawa, Canada. CRC Press, p. 47.
   Google Scholar
• Montazerin, N., Akbari, G., and Mahmoodi, M. (2015). “Developments in turbomachinery flow: Forward curved centrifugal fans.” Sawston, United Kingdom: Woodhead Publishing.
   Google Scholar
• Mungkasi, S., and Roberts, S.G. (2010). “A new analytical solution for testing debris avalanche numerical models.” ANZIAM. J, 52, 349–363.
   Google Scholar
• Novák, P., Moffat, A., Nalluri, C., and Narayanan, R. (2007). “Hydraulic structures.” England: CRC Press.
   Google Scholar
• Ozmen-Cagatay, H., and Kocaman, S. (2010). “Dam-break flows during initial stage using SWE and RANS approaches.” J. Hydraul. Res, 48, 603–611. doi:10.1080/00221686.2010.507342
   Web of Science ®Google Scholar
• Ozmen-Cagatay, H., Kocaman, S., and Guzel, H. (2014). “Investigation of dam-break flood waves in a dry channel with a hump.” J. Hydro-Environ. Res, 8, 304–315. doi:10.1016/j.jher.2014.01.005
   Web of Science ®Google Scholar
• Plate, E.J. (2002). “Flood risk and flood management.” J. Hydrol, 267, 2–11. doi:10.1016/S0022-1694(02)00135-X
   Web of Science ®Google Scholar
• Quecedo, M., Pastor, M., Herreros, M., Merodo, J.F., and Zhang, Q. (2005). “Comparison of two mathematical models for solving the dam break problem using the FEM method.” Comput. Methods Appl. Mech. Eng., 194, 3984–4005. doi:10.1016/j.cma.2004.09.011
   Web of Science ®Google Scholar
• Ritter, A. (1892). “Die fortpflanzung der wasserwellen.” Zeitschrift des Vereines Deutscher Ingenieure, 36, 947–954.
   Google Scholar
• Schmidgall, T., and Strange, J., 1960. Floods resulting from suddenly breached dams. Miscellaneous Paper, 2–374.
   Google Scholar
• Shaheed, R., Mohammadian, A., and Gildeh, H.K. (2019). “A comparison of standard k–ε and realizable k–ε turbulence models in curved and confluent channels.” Environ. Fluid. Mech, 19, 543–568. doi:10.1007/s10652-018-9637-1
   Web of Science ®Google Scholar
• Shigematsu, T., Liu, P.L.-F., and Oda, K. (2004). “Numerical modeling of the initial stages of dam-break waves.” J. Hydraul. Res, 42, 183–195.
   Web of Science ®Google Scholar
• Shih, T.-H., Liou, W.W., Shabbir, A., Yang, Z., and Zhu, J. (1995). “A new k-ϵ eddy viscosity model for high reynolds number turbulent flows.” Comput Fluids, 24, 227–238. doi:10.1016/0045-7930(94)00032-T
   Web of Science ®Google Scholar
• Shirkhani, H., Mohammadian, A., Seidou, O., and Kurganov, A. (2016). “A well-balanced positivity-preserving central-upwind scheme for shallow water equations on unstructured quadrilateral grids.” Comput. Fluids, 126, 25–40. doi:10.1016/j.compfluid.2015.11.017
   Web of Science ®Google Scholar
• Stansby, P., Chegini, A., and Barnes, T. (1998). “The initial stages of dam-break flow.” J. Fluid. Mech, 374, 407–424. doi:10.1017/S0022112098001918
   Web of Science ®Google Scholar
• Stoker, J. (1957). Water waves Interscience Publishers. Inc, New York.
   Google Scholar
• Taheri, M., Dolatabadi, N., Nasseri, M., Zahraie, B., Amini, Y., and Schoups, G. (2020). “Localized linear regression methods for estimating monthly precipitation grids using elevation, rain gauge, and TRMM data.” Theor. Appl. Climatol., 142(1), 623–641. doi:10.1007/s00704-020-03320-2
   Web of Science ®Google Scholar
• Taylor, K.E. (2001). “Summarizing multiple aspects of model performance in a single diagram.” J. Geophys. Res. Atmos, 106, 7183–7192. doi:10.1029/2000JD900719
   Web of Science ®Google Scholar
• Van Emelen, S., Zech, Y., and Soares Frazao, S. (2014). “Limitations of the shallow water assumptions for problems involving steep slopes: Application to a dike overtopping test case.“ River Flow 1.
   Google Scholar
• Vosoughi, F., Rakhshandehroo, G., Nikoo, M.R., and Sadegh, M. (2020). “Experimental study and numerical verification of silted-up dam break.” J. Hydrol, 590, 125267. doi:10.1016/j.jhydrol.2020.125267
   Web of Science ®Google Scholar
• Wang, B., Chen, Y., Peng, Y., Zhang, J., and Guo, Y. (2020a). “Analytical Solution of Shallow Water Equations for Ideal Dam-Break Flood along a Wet-Bed Slope.” J. Hydraul. Eng, 146, 06019020. doi:10.1061/(ASCE)HY.1943-7900.0001683
   Google Scholar
• Wang, B., Chen, Y., Wu, C., Peng, Y., Song, J., Liu, W., and Liu, X. (2018). “Empirical and semi-analytical models for predicting peak outflows caused by embankment dam failures.” J. Hydrol, 562, 692–702. doi:10.1016/j.jhydrol.2018.05.049
   Web of Science ®Google Scholar
• Wang, B., Liu, W., Zhang, J., Chen, Y., Wu, C., Peng, Y., Wu, Z., Liu, X., and Yang, S. (2020b). “Enhancement of semi-theoretical models for predicting peak discharges in breached embankment dams.” Environ. Fluid. Mech 20(4) 885–904.
   Web of Science ®Google Scholar
• Wang, J.S., Ni, H.-G., and He, Y.-S. (2000). “Finite-difference TVD scheme for computation of dam-break problems.” J. Hydraul. Eng, 126, 253–262. doi:10.1061/(ASCE)0733-9429(2000)126:4(253)
   Web of Science ®Google Scholar
• Wang, W., and Wang, M., 2011. “Application of KE Model on the Numerical Simulation of a Semi-confined Slot Turbulent Impinging Jet,“ 2011 Fourth International Joint Conference on Computational Sciences and Optimization. Kunming, Yunnan, China: IEEE, 86–89.
   Google Scholar
• Weller, H.G., Tabor, G., Jasak, H., and Fureby, C. (1998). “A tensorial approach to computational continuum mechanics using object-oriented techniques.” Comput. Phys, 12, 620–631. doi:10.1063/1.168744
   Google Scholar
• Wood, A., and Wang, K.-H. (2015). “Modeling dam-break flows in channels with 90 degree Bend using an alternating-direction implicit based curvilinear hydrodynamic solver.” Comput. Fluids, 114, 254–264. doi:10.1016/j.compfluid.2015.03.011
   Web of Science ®Google Scholar
• Wu, W., and Wang, S.S. (2007). “One-dimensional modeling of dam-break flow over movable beds.” J. Hydraul. Eng, 133, 48–58. doi:10.1061/(ASCE)0733-9429(2007)133:1(48)
   Web of Science ®Google Scholar
• Yang, X., Xu, W.-L., Luo, S.-J., Chen, H.-Y., Li, N.-W., and Xu, L.-J. (2011). “Experimental study of dam-break flow in cascade reservoirs with steep bottom slope.” J. Hydrodynam. B, 23, 491–497. doi:10.1016/S1001-6058(10)60140-0
   Web of Science ®Google Scholar