Two-dimensional operator for bank failures induced by water-level rise in dam-break flows

References

• Abad , J. D. , Buscaglia , G. C. and García , M. H. 2007 . 2D stream hydrodynamic, sediment transport and bed morphology model for engineering applications . Hydrol. Process , 22 ( 10 ) : 1443 – 1459 .
   Web of Science ®Google Scholar
• Amiri-Tokaldany , E. , Darby , S. E. and Toswell , P. 2007 . Coupling bank stability and bed deformation models to predict equilibrium bed topography in river bends . J. Hydraulic Eng. , 133 ( 10 ) : 1167 – 1170 .
   Web of Science ®Google Scholar
• ASCE Task Committee on Hydraulics, Bank Mechanics, and Modeling of Width Adjustment . 1998a . River width adjustment I: processes and mechanisms . J. Hydraulic Eng. , 124 ( 9 ) : 881 – 902 .
   Web of Science ®Google Scholar
• ASCE Task Committee on Hydraulics, Bank Mechanics, and Modeling of Width Adjustment . 1998b . River width adjustment II: modeling . J. Hydraulic Eng. , 124 ( 9 ) : 903 – 917 .
   Google Scholar
• Cao , Z. , Pender , G. , Wallis , S. and Carling , P. 2004 . Computational dam-break hydraulics over erodible sediment bed . J. Hydraulic Eng. , 130 ( 4 ) : 689 – 703 .
   Web of Science ®Google Scholar
• Chen , D. and Duan , J. D. 2006 . Simulating sine-generated meandering channel evolution with an analytical model . J. Hydraulic Res. , 44 ( 3 ) : 363 – 373 .
   Web of Science ®Google Scholar
• Chiew , Y. M. and Parker , G. 1994 . Incipient sediment motion on non-horizontal slopes . J. Hydraulic Res. , 32 ( 5 ) : 649 – 660 .
   Web of Science ®Google Scholar
• Dapporto , S. , Rinaldi , M. and Casagli , N. 2001 . Failure mechanisms and pore water pressure conditions: analysis of a riverbank along the Arno river (central Italy) . Eng. Geol. , 61 ( 4 ) : 221 – 242 .
   Web of Science ®Google Scholar
• Darby , S. E. and Thorne , C. R. 1996 . Development and testing of riverbank-stability analysis . J. Hydraulic Eng. , 122 ( 8 ) : 443 – 445 .
   Web of Science ®Google Scholar
• Duan , G. , Wang , S. S.Y. and Jia , Y. 2001 . The applications of the enhanced CCHE2D model to study the alluvial channel migration processes . J. Hydraulic Res. , 39 ( 5 ) : 469 – 480 .
   Web of Science ®Google Scholar
• Dulal , K. P. , Kondo , Y. , Kimura , I. , Shimizu , Y. and Parker , G. 2009 . “ Prediction of evolution process in free meandering rivers using 2D numerical model considering slump blocks and inner bank deposition. Proc ” . In River, Coastal and Estuarine Morphodynamics 2009, Santa Fe, Argentina C.A. Vionnet, M.H. García, E.M. Latrubesse, G.M.E. Perillo eds. CRC Press/Balkema, Rotterdam, 2, 626–634
   Google Scholar
• El Kadi Abderrezzak , K. , Paquier , A. and Gay , B. 2008 . One-dimensional numerical modeling of dam-break waves over movable beds: application to experimental and field cases . Environ. Fluid Mech. , 8 : 169 – 198 .
   Web of Science ®Google Scholar
• Farshi , D. and Minor , E. 2004 . “ Two-dimensional fluvial channel model with bank erosion on triangular grid. Proc. River Flow 2004, Naples, Italy ” . Edited by: Greco , M. , Armando , C. and Della Morte , R. Balkema, Rotterdam, 2, 999–1003
   Google Scholar
• Fraccarollo , L. , Capart , H. and Zech , Y. 2003 . A Godunov method for the computation of erosional shallow water transient . Intl. J. Numer. Meth. Fluids , 41 : 951 – 976 .
   Web of Science ®Google Scholar
• García , M. H. 2008 . “ Sediment transport and morphodynamics ” . In Sedimentation Engineering Processes, Measurements, Modeling and Practice Edited by: García , In M. H. ASCE Manuals and Reports on Engineering Practice, ASCE, Reston, VA, 110, 21–163
   Google Scholar
• Goutière , L. , Soares-Frazão , S. , Savary , C. , Laraichi , T. and Zech , Y. 2008 . One-dimensional model for transient flows involving bedload sediment transport and changes in flow regimes . J. Hydraulic Eng. , 134 ( 6 ) : 726 – 735 .
   Web of Science ®Google Scholar
• Kovacs , A. and Parker , G. 1994 . A new vectorial bedload formulation and its application to the time evolution of straight river channels . J. Fluid Mech. , 267 : 153 – 183 .
   Web of Science ®Google Scholar
• Langendoen , E. J. and Simon , A. 2008 . Modeling the evolution of incised streams II: streambank erosion . J. Hydraulic Eng. , 134 ( 7 ) : 905 – 915 .
   Web of Science ®Google Scholar
• Langendoen , E. J. , Wells , R. R. , Thomas , R. E. , Simon , A. and Bingner , R.L. 2009 . Modeling the evolution of incised streams III: model application . J. Hydraulic Eng. , 135 ( 6 ) : 476 – 486 .
   Web of Science ®Google Scholar
• Li , L. and Wang , S. S.Y. 1993 . “ Numerical modeling of alluvial stream bank erosion. Proc. Advances in Hydro-science and Engineering 1993, Washington, DC ” . Edited by: Wang , S. S.Y. Center for Computational Hydroscience and Engineering, University of Mississippi, Oxford, MI, 1 . 2085–2090
   Google Scholar
• Mengoni , B. and Mosselman , E. 2005 . “ Analysis of riverbank erosion processes: Cecina River, Italy. Proc ” . In River, Coastal and Estuarine Morphodynamics 2005, Urbana IL G. Parker, M.H. García, eds. Balkema, Rotterdam, 1, 943–951
   Google Scholar
• Menéndez , A. N. , García , P. E. , Rodríguez Ardila , J. , Laciana , C. E. and Sfriso , A. 2006 . “ An integrated model for the evolution of channel morphology, including cohesive bank erosion. Proc. River Flow 2006, Lisbon, Portugal ” . Edited by: Ferreira , R. M.L. , Alves , E. C.T.L. , Leal , J. G.A.B. and Cardoso , A. H. Balkema, Rotterdam, 2, 1785–1800
   Google Scholar
• Meyer-Peter , E. and Müller , R. Formulas for bed load transport . Proc. 2nd IAHR Congress . Stockholm, Sweden. pp. 39 – 64 .
   Google Scholar
• Nagata , N. , Hosoda , Y. and Muramoto , T. 2000 . Numerical analysis of river channel processes with bank erosion . J. Hydraulic Eng. , 126 ( 4 ) : 243 – 251 .
   Web of Science ®Google Scholar
• Pizzuto , J. E. 1990 . Numerical simulation of gravel river widening . Water Resour. Res. , 26 ( 9 ) : 1971 – 1980 .
   Web of Science ®Google Scholar
• Pizzuto , J. E. and ASCE Task Committee on Hydraulics, Bank Mechanics, Modeling of River Width Adjustment . 2008 . “ Streambank erosion and river width adjustment. In ” . In Sedimentation Engineering Processes, Measurements, Modeling and Practice Edited by: García , M. H. ASCE Manuals and Reports on Engineering Practice, ASCE, Reston, VA, 110, 387–438
   Google Scholar
• Rinaldi , M. and Casagli , N. 1999 . Stability of streambanks formed in partially saturated soils and effects of negative pore water pressures: the Sieve River (Italy) . Geomorphology , 26 : 253 – 277 .
   Web of Science ®Google Scholar
• Rinaldi , M. and Darby , S. E. 2008 . “ Modelling river-bank-erosion processes and mass failure mechanisms: progress towards fully coupled simulations ” . In Gravel-bed rivers 6: from process understanding to river restoration , Edited by: Habersack , H. , Piégay , H. and Rinaldi , M. Amsterdam : Elsevier . 213–239
   Google Scholar
• Schmautz , M. and Aufleger , M. Gravel river widening by bank erosion: theory and results of physical and numerical modelling. Proc. River Flow 2002 . Louvain-la-Neuve, Belgium, D. Bousmar, Y. Zech, eds. Balkema, Rotterdam, 1, 639–649
   Google Scholar
• Simon , A. , Curini , A. , Darby , S. E. and Langendoen , E. J. 2000 . Bank and near-bank processes in an incised channel . Geomorphology , 35 : 193 – 217 .
   Web of Science ®Google Scholar
• Soares-Frazão , S. , le Grelle , N. , Spinewine , B. and Zech , Y. 2007 . Dam-break induced morphological changes in a channel with uniform sediments: measurements by a laser-sheet imaging technique . J. Hydraulic Res. , 45 ( extra issue ) : 87 – 95 .
   Google Scholar
• Soares-Frazão , S. and Zech , Y. 2010 . HLLC scheme with novel wave-speed estimators appropriate for two-dimensional shallow-water flow on erodible bed . Intl. J. Numer. Meth. Fluids , published online, DOI: 10.1002/fld.2300
   Web of Science ®Google Scholar
• Spinewine , B. , Capart , H. , le Grelle , N. , Soares Frazão , S. and Zech , Y. 2002 . “ Experiments and computations of bankline retreat due to geomorphic dam-break floods ” . In Proc. River Flow 2002 Louvain-la-Neuve, Belgium, D. Bousmar, Y. Zech, eds. Balkema, Rotterdam, 1, 651–661
   Google Scholar
• Spinewine , B. and Zech , Y. 2007 . Small-scale laboratory dam-break waves on movable beds . J. Hydraulic Res. , 45 ( extra issue ) : 73 – 86 .
   Web of Science ®Google Scholar
• Swartenbroekx , C. , Soares-Frazão , S. , Staquet , R. and Zech , Y. 2009 . “ Validation of a bank-failure operator coupled to a 2D dam-break flow model. Proc. River, Coastal and Estuarine Morphodynamics 2009. Santa Fe, Argentina ” . Edited by: Vionnet , C. A. , García , M. H. , Latrubesse , E. M. and Perillo , G. M.E. CRC Press/Balkema, 2, 975–981
   Google Scholar
• Toro , E. F. 1997 . Riemann solvers and numerical methods for fluid dynamics: a practical introduction , Berlin, , Germany : Springer .
   Google Scholar
• Versteeg , H. K. and Malalasekera , W. 1995 . An introduction to computational fluid dynamic: the finite volume method , Harlow, , UK : Longman .
   Google Scholar
• Wiele , S. M. 1992 . “ A computational investigation of bank erosion and mid-channel bar formation in gravel-bed rivers ” . Minneapolis, , USA : University of Minnesota . PhD thesis
   Google Scholar
• Wong , M. and Parker , G. 2006 . Reanalysis and correction of bed-load relation of Meyer-Peter and Müller using their own database . J. Hydraulic Eng. , 132 ( 11 ) : 1161 – 1168 .
   Web of Science ®Google Scholar
• Wu , W. and Wang , S. Y. 2007 . One-dimensional modeling of dam-break flow over movable beds . J. Hydraulic Eng. , 133 ( 1 ) : 48 – 58 .
   Web of Science ®Google Scholar
• Zech , Y. , Soares-Frazão , S. , Spinewine , B. and le Grelle , N. 2008 . Dam-break induced sediment movement: experimental approaches and numerical modelling . J. Hydraulic Res. , 46 ( 2 ) : 176 – 190 .
   Web of Science ®Google Scholar