1D numerical evaluation of dike erosion due to overtopping

References

• Armanini , A. and Di Silvio , G. 1988 . A one-dimensional model for the transport of a sediment mixture in non-equilibrium conditions . J. Hydraulic Res , 26 ( 3 ) : 275 – 292 .
   Web of Science ®Google Scholar
• Bagnold , R. A. 1954 . Experiments on a gravity-free dispersion of a large solid sphere in a Newtonian fluid under shear . Proc. Royal Society A , 225 : 49 – 63 .
   Google Scholar
• Benoist , G. 1983 . “ Calcul de l'érosion d'une digue par surverse ” . In Internal Report HE 43/83-31. Electricité de France EDF, Paris [in French]
   Google Scholar
• Bray , D. I. 1979 . “ Estimating average velocity in gravel bed rivers ” . In J. Hydraulics Div ASCE 105(HY9), 1103–1122
   Google Scholar
• Capart , H. and Young , D. L. Two layer shallow water computations of torrential geomorphic flows . Proc. Intl. Conf. River Flow Louvain-la-Neuve, 1003-1012. Balkema, Rotterdam NL
   Google Scholar
• Castro-Orgaz , O. 2008 . Curvilinear flow over round-crested weirs . J. Hydraulic Res , 46 ( 4 ) : 543 – 547 .
   Web of Science ®Google Scholar
• Coleman , S. E. , Andrews , D. P. and Webby , M. G. 2002 . Overtopping breaching of noncohesive homogeneous embankments . J. Hydraulic Engng , 128 ( 9 ) : 829 – 838 .
   Web of Science ®Google Scholar
• de Vries , M. 1965 . “ Consideration about non-steady bed-load transport in open channels ” . 11th IAHR Congress Leningrad 3(8), 1–8
   Google Scholar
• Di Cristo , C. , Leopardi , A. and Greco , M. 2002 . “ A bed load transport model for non-uniform flows ” . Proc. Intl. Conf. River Flow, Louvain-la-Neuve, 859–863. Balkema, Rotterdam NL
   Google Scholar
• Dupont , E. , Dewals , B. J. , Archambeau , P. , Erpicum , S. and Pirotton , M. 2007 . “ Experimental and numerical study of the breaching of an embankment dam ” . Proc. 32nd IAHR Congress Venice 1(178), 1–10. IAHR, Madrid
   Google Scholar
• Fraccarollo , L. and Capart , H. 2002 . Riemann wave description of erosional dam-break flows . J. Fluid Mech , 461 : 183 – 228 .
   Web of Science ®Google Scholar
• Fischer-Antze , T. , Rüther , N. , Olsen , N. R.B. and Gutknecht , D. 2009 . Tree-dimensional modelling of non-uniform sediment transport in a channel bend with unsteady flow . J. Hydraulic Res , 47 ( 5 ) : 670 – 675 .
   Web of Science ®Google Scholar
• Greco , M. , Iervolino , M. and Leopardi , A. 2008 a . “ Two-phase depth-integrated model for unsteady river flow ” . Proc. ICHE Conf., Nagoya, 1126–1135
   Google Scholar
• Greco , M. , Iervolino , M. and Leopardi , A. 2008 b . Discussion of Divergence form for bed slope source term in shallow water equations . J. Hydraulic Engng , 134 ( 5 ) : 676 – 678 .
   Web of Science ®Google Scholar
• Greimann , B. P. , Muste , M. and Holly , F. M. 1999 . Two-phase formulation of suspended sediment transport . J. Hydraulic Res , 37 ( 4 ) : 479 – 500 .
   Web of Science ®Google Scholar
• Griffiths , G. A. 1981 . Flow resistance in coarse gravel-bed rivers . J. Hydraulics Div , : 899 – 916 . ASCE 107(HY7)
   Web of Science ®Google Scholar
• Hey , R. D. 1979 . Flow resistance in gravel bed rivers . J. Hydraulics Div , : 365 – 379 . ASCE 105(HY4)
   Google Scholar
• Iervolino , M. , Leopardi , A. and Greco , M. 2003 . “ Bed transport dynamics in unsteady conditions ” . 30th IAHR Congress Thessaloniki 1, 633–639
   Google Scholar
• Jandora , J. and Jaromír , R. 2008 . The failure of embankment dams due to overtopping , Brno, , Czech Republic : Brno University of Technology .
   Google Scholar
• Leopardi , A. 2001 . “ Modelli bidimensionali di corpi idrici naturali ” . PhD Thesis. University of Napoli “Federico II” [in Italian]
   Google Scholar
• Leopardi , A. , Oliveri , E. and Greco , M. 2003 . Numerical simulation of gradual earth-dam failure . L'Acqua , 81 ( 2 ) : 47 – 54 .
   Google Scholar
• Macchione , F. 2008 . Model for predicting floods due to earthen dam breaching 1: Formulation and evaluation . J. Hydraulic Engng , 134 ( 12 ) : 1688 – 1696 .
   Web of Science ®Google Scholar
• Meyer-Peter , E. and Müller , R. 1948 . “ Formulas for bed-load transport ” . 2nd IAHR Congress Stockholm, 39–64
   Google Scholar
• Morris , M. W. , Hassan , M. A.A.M. and Vaskinn , K. A. 2007 . Breach formation: Field test and laboratory experiments . J. Hydraulic Res , 45 ( Extra Issue ) : 9 – 17 .
   Web of Science ®Google Scholar
• Powledge , G. R. , Ralston , D. C. , Miller , P. , Chen , Y. H. , Cloppner , P. E. and Temple , D. M. 1989 a . Mechanics of overflow erosion on embankments 1: Research activities . J. Hydraulic Engng , 115 ( 8 ) : 1040 – 1055 .
   Web of Science ®Google Scholar
• Powledge , G. R. , Ralston , D. C. , Miller , P. , Chen , Y. H. , Cloppner , P. E. and Temple , D. M. 1989 b . Mechanics of overflow erosion on embankments 2: Hydraulic and design considerations . J. Hydraulic Engng , 115 ( 8 ) : 1056 – 1075 .
   Web of Science ®Google Scholar
• Rozov , A. L. 2003 . Modeling of washout of dams . J. Hydraulic Res , 41 ( 6 ) : 565 – 577 .
   Web of Science ®Google Scholar
• Sandover , J. A. 1969 . Discharge coefficients of constrictions in open channels . Water Power , 21 ( 7 ) : 256 – 261 .
   Google Scholar
• Schmocker , L. and Hager , W. H. 2009 . Modelling dike breaching due to overtopping . J. Hydraulic Res , 47 ( 5 ) : 585 – 597 .
   Web of Science ®Google Scholar
• Singh , V. P. 1996 . Dam breach modelling technology , Dordrecht, NL : Kluwer .
   Google Scholar
• Smart , G. M. 1984 . Sediment transport formula for steep channel . J. Hydraulic Engng , 110 ( 3 ) : 267 – 276 .
   Web of Science ®Google Scholar
• Spinewine , B. 2005 . “ Two layer shallow water modelling of fast geomorphic flows and experimental validation on idealised laboratory dam-break waves ” . 31st IAHR Congress Seoul 2, 1437–1439
   Google Scholar
• Spinewine , B. , Delobbe , A. , Elslander , L. and Zech , Y. 2004 . “ Experimental investigation of the breach growth process in sand dikes ” . Proc. Intl. Conf. River Flow Naples, Italy 2, 983–991
   Google Scholar
• Tinney , E. R. and Hsu , H. Y. 1961 . Mechanics of washout of an erodible fuse plug . J. Hydraulics Div , : 1 – 29 . ASCE 87(3)
   Google Scholar
• Valiani , A. and Begnudelli , L. 2006 . Divergence form for bed slope source term in shallow water equations . J. Hydraulic Engng , 132 ( 7 ) : 652 – 665 .
   Web of Science ®Google Scholar
• van Rijn , L. C. 1984 . Sediment pick-up functions . J. Hydraulic Engng , 110 ( 10 ) : 1494 – 1502 .
   Web of Science ®Google Scholar
• Wahl , T. L. 2004 . Uncertainty of predictions of embankment dam breach parameters . J. Hydraulic Engng , 130 ( 5 ) : 389 – 397 .
   Web of Science ®Google Scholar