On dam-break wave propagation and its implication to sediment erosion

REFERENCES

• Abderrezzak, K.E.K., Paquier, A., Gay, B. (2008). One-dimensional numerical modelling of dam-break waves over movable beds: Application to experimental and field cases. Environ. Fluid Mech. 8(2), 169–198. doi: 10.1007/s10652-008-9056-9
   Web of Science ®Google Scholar
• Brooks, G.R., Lawrence, D.E. (1999). The drainage of the Lake Ha!Ha! reservoir and downstream geomorphic impacts along Ha!Ha! River, Saguenay area, Quebec, Canada. Geomorphology 28(1–2), 141–168. doi: 10.1016/S0169-555X(98)00109-3
   Web of Science ®Google Scholar
• Capart, H., Young, D.L. (1998). Formation of a jump by the dam-break wave over a granular bed. J. Fluid Mech. 372, 165–187. doi: 10.1017/S0022112098002250
   Web of Science ®Google Scholar
• Chan, E.S., Melville, W.K. (1988). Deep-water plunging wave pressures on a vertical plane wall. Proc. R. Soc. Lond. A 417(1852), 95–131. doi: 10.1098/rspa.1988.0053
   Web of Science ®Google Scholar
• Cheng, M.Y., Peng, L. (2006). Simple and efficient improvements of multivariate local linear regression. J. Multivariate Anal. 97(7), 1501–1524. doi: 10.1016/j.jmva.2005.05.006
   Web of Science ®Google Scholar
• Chorin, A.J. (1969). On convergence of discrete approximations to Navier–Stokes equations. Math. Comput. 23(106), 341–353. doi: 10.1090/S0025-5718-1969-0242393-5
   Web of Science ®Google Scholar
• Costa, J.E., Schuster, R.L. (1988). The formation and failure of natural dams. Geol. Soc. Am. Bull. 100(7), 1054–1068. doi: 10.1130/0016-7606(1988)100<1054:TFAFON>2.3.CO;2
   Web of Science ®Google Scholar
• de Saint-Venant, A.J.C. (1871). Théorie du mouvement non-permanent des eaux, avec application aux crues des rivières et à l'introduction des marées dans leur lit. C. R. Acad. Sci. Paris, 73, 148–154.
   Google Scholar
• Dong, J.J., Tung, Y.H., Chen, C.C., Liao, J.J., Pan, Y.W. (2009). Discriminant analysis of the geomorphic characteristics and stability of landslide dams. Geomorphology 110(3–4), 162–171. doi: 10.1016/j.geomorph.2009.04.004
   Web of Science ®Google Scholar
• Dressler, R.F. (1954). Comparison of theories and experiments for the hydraulic dam-break wave. Int. Assoc. Sci. Hydrol. Publ. 38(3), 319–328.
   Google Scholar
• Engelund, F., Fredsoe, J. (1976). A sediment transport model for straight alluvial channels. Nordic Hydrol. 7(5), 293–306.
   Google Scholar
• Fraccarollo, L., Capart, H. (2002). Riemann wave description of erosional dam-break flows. J. Fluid Mech. 461, 183–228. doi: 10.1017/S0022112002008455
   Web of Science ®Google Scholar
• Fredsøe, J., Deigaard, R. (1992). Mechanics of coastal sediment transport. Advanced Series on Ocean Engineering 3. World Scientific, Singapore.
   Google Scholar
• Goldsmith, S.T., Carey, A.E., Lyons, W.B., Kao, S.J., Lee, T.Y., Chen, J. (2008). Extreme storm events, landscape denudation, and carbon sequestration: Typhoon Mindulle, Choshui River, Taiwan. Geology 36(6), 483–486. doi: 10.1130/G24624A.1
   Web of Science ®Google Scholar
• Hagatun, K., Eidsvik, K.J. (1986). Oscillating turbulent boundary-layer with suspended sediments. J. Geophys. Res. 91(C11), 3045–3055.
   Web of Science ®Google Scholar
• Hirt, C.W., Nichols, B.D. (1981). Volume of fluid (VOF) method for the dynamics of free boundaries. J. Comput. Phys. 39(1), 201–225. doi: 10.1016/0021-9991(81)90145-5
   Web of Science ®Google Scholar
• Hogg, A.J., Pritchard, D. (2004). The effects of hydraulic resistance on dam-break and other shallow inertial flows. J. Fluid Mech. 501, 179–212. doi: 10.1017/S0022112003007468
   Web of Science ®Google Scholar
• Hsiao, S.C., Hsu, T.W., Lin, T.C., Chang, Y.H. (2008). On the evolution and run-up of breaking solitary waves on a mild sloping beach. Coastal Eng. 55(12), 975–988. doi: 10.1016/j.coastaleng.2008.03.002
   Web of Science ®Google Scholar
• Hsu, T.J., Liu, P.L.F. (2004). Toward modeling turbulent suspension of sand in the nearshore. J. Geophys. Res. 109 (C06018).
   Web of Science ®Google Scholar
• Janosi, I.M., Jan, D., Szabo, K.G., Tel, T. (2004). Turbulent drag reduction in dam-break flows. Exp. Fluids. 37(2), 219–229. doi: 10.1007/s00348-004-0804-4
   Web of Science ®Google Scholar
• Kao, S.J., Milliman, J.D. (2008). Water and sediment discharge from small mountainous rivers, Taiwan: The roles of lithology, episodic events, and human activities. J. Geol. 116(5), 431–448.
   Google Scholar
• Khayyer, A., Gotoh, H. (2010). On particle-based simulation of a dam break over a wet bed. J. Hydraulic Res. 48(2), 238–249. doi: 10.1080/00221681003726361
   Web of Science ®Google Scholar
• Kobayashi, N., Raichle, A.W. (1994). Irregular wave overtopping of revetments in surf zones. J. Waterway Port Coast. Ocean Eng. 120(1), 56–73. doi: 10.1061/(ASCE)0733-950X(1994)120:1(56)
   Web of Science ®Google Scholar
• Korup, O. (2002). Recent research on landslide dams – A literature review with special attention to New Zealand. Prog. Phys. Geogr. 26(2), 206–235. doi: 10.1191/0309133302pp333ra
   Web of Science ®Google Scholar
• Kothe, D.B., Mjolsness, R.C., Torrey, M.D. (1991). RIPPLE: A computer program for incompressible flows with free surfaces. Los Alamos National Lab., Los Alamos, New Mexico.
   Google Scholar
• Lapointe, M.F., Secretan, Y., Driscoll, S.N., Bergeron, N., Leclerc, M. (1998). Response of the Ha! Ha! River to the flood of July 1996 in the Saguenay Region of Quebec: Large-scale avulsion in a glaciated valley. Water Resour. Res. 34(9), 2383–2392. doi: 10.1029/98WR01550
   Web of Science ®Google Scholar
• Lin, P.Z., Liu, P.L.F. (1998a). A numerical study of breaking waves in the surf zone. J. Fluid Mech. 359, 239–264. doi: 10.1017/S002211209700846X
   Web of Science ®Google Scholar
• Lin, P.Z., Liu, P.L.F. (1998b). Turbulence transport, vorticity dynamics, and solute mixing under plunging breaking waves in surf zone. J. Geophys. Res. 103(C8), 15677–15694.
   Web of Science ®Google Scholar
• Lin, P.Z., Xu, W.L. (2006). NEWFLUME: A numerical water flume for two-dimensional turbulent free surface flows. J. Hydraulic Res. 44(1), 79–93. doi: 10.1080/00221686.2006.9521663
   Web of Science ®Google Scholar
• Özgökmen, T.M., Iliescu, T., Fischer, P.F., Srinivasan, A., Duan, J. (2007). Large eddy simulation of stratified mixing in two-dimensional dam-break problem in a rectangular enclosed domain. Ocean Model. 16(1–2), 106–140. doi: 10.1016/j.ocemod.2006.08.006
   Web of Science ®Google Scholar
• Ritter, A. (1892). Die Fortpflanzung de Wasserwellen. Zeitschrift Verein Deutscher Ingenieure 36(33), 947–954.
   Google Scholar
• Rodi, W. (1980). Turbulence models and their application in hydraulics. International Association of Hydraulic Engineering (IAHR) Monograph, Delft, The Netherlands.
   Google Scholar
• Rodi, W. (1987). Examples of calculation methods for flow and mixing in stratifled fluids. J. Geophys. Res. 92, 5305–5328. doi: 10.1029/JC092iC05p05305
   Web of Science ®Google Scholar
• Shakibaeinia, A., Jin, Y.C. (2011). A mesh-free particle model for simulation of mobile-bed dam break. Adv. Water Res. 34(6), 794–807. doi: 10.1016/j.advwatres.2011.04.011
   Web of Science ®Google Scholar
• Shigematsu, T., Liu, P.L.F., Oda, K. (2004). Numerical modeling of the initial stages of dam-break waves. J. Hydraulic Res. 42(2), 183–195. doi: 10.1080/00221686.2004.9728381
   Web of Science ®Google Scholar
• Shih, T.H., Zhu, J., Lumley, J.L. (1996). Calculation of wall-bounded complex flows and free shear flows. Int. J. Numer. Methods Fluids. 23(11), 1133–1144. doi: 10.1002/(SICI)1097-0363(19961215)23:11<1133::AID-FLD456>3.0.CO;2-A
   Web of Science ®Google Scholar
• Stansby, P.K., Chegini, A., Barnes, T.C.D. (1998). The initial stages of dam-break flow. J. Fluid Mech. 370, 203–220. doi: 10.1017/S0022112098001918
   Web of Science ®Google Scholar
• Stoker, J.J. (1957). Water waves. Pure and applied mathematics. Vol. IV. Interscience, New York.
   Google Scholar
• Ting, F.C.K., Kirby, J.T. (1994). Observation of undertow and turbulence in a laboratory surf zone. Coast. Eng. 24(1–2), 51–80. doi: 10.1016/0378-3839(94)90026-4
   Web of Science ®Google Scholar
• Torres-Freyermuth, A., Hsu, T.J. (2010). On the dynamics of wave-mud interaction: A numerical study. J. Geophys. Res. 115 (C07014).
   PubMed Web of Science ®Google Scholar
• Torres-Freyermuth, A., Puleo, J.A., Pokrajac, D. (2013). Modeling swash-zone hydrodynamics and shear stresses on planar slopes using Reynolds-averaged Navier–Stokes equations. J. Geophys. Res. 118(2), 1019–1033. doi: 10.1002/jgrc.20074
   Web of Science ®Google Scholar
• Umlauf, L., Burchard, H. (2003). A generic length-scale equation for geophysical turbulence models. J. Marine Res. 61(2), 235–265. doi: 10.1357/002224003322005087
   Web of Science ®Google Scholar
• Warrick, J.A., Cochrane, G.R., Sagy, Y., Gelfenbaum, G. (2008). Nearshore substrate and morphology offshore of the Elwha River, Washington. Northwest Sci. 82, 153–163. doi: 10.3955/0029-344X-82.S.I.153
   Web of Science ®Google Scholar
• Water Resources Agency, Ministry of Economic Affairs. (2009). The storm rainfall and flood during typhoon Morakot.
   Google Scholar
• Whitham, G.B. (1955). The effects of hydraulic resistance in the dam-break problem. Proc. R. Soc. Lond. A 227, 399–407. doi: 10.1098/rspa.1955.0019
   Web of Science ®Google Scholar
• Wu, W., Wang, S.S. (2007). One-dimensional modeling of dam-break flow over movable beds. J. Hydraulic Eng. 133(1), 48–58. doi: 10.1061/(ASCE)0733-9429(2007)133:1(48)
   Web of Science ®Google Scholar