메뉴 건너뛰기




Volumn 139, Issue 1, 2013, Pages 22-36

Grain-scale nonequilibrium sediment-transport model for unsteady flow

Author keywords

Adaptation length; Bed load layer; Dam break flow over erodible beds; Finite volume method; Nonequilibrium transport

Indexed keywords

ADAPTATION LENGTH; BED LOAD; CONTINUITY EQUATIONS; ERODIBLE BEDS; EXPERIMENTAL MEASUREMENTS; MOMENTUM CONSERVATION EQUATIONS; NON-EQUILIBRIUM SEDIMENT TRANSPORT; NONEQUILIBRIUM TRANSPORT; FINITE VOLUME MODELING; GOVERNING EQUATIONS; MASS CONSERVATION EQUATIONS; ONE-DIMENSIONAL; SEDIMENT LADEN FLOWS; SEDIMENT TRANSPORT MODELLING;

EID: 84876710106     PISSN: 07339429     EISSN: None     Source Type: Journal    
DOI: 10.1061/(ASCE)HY.1943-7900.0000645     Document Type: Article
Times cited : (33)

References (64)
  • 1
    • 0017369068 scopus 로고
    • Saltation and suspension trajectories of solid grains in a water stream
    • Abbott, J. E., and Francis, J. R. D. (1977). "Saltation and suspension trajectories of solid grains in a water stream." Philos. Trans. R. Soc. London Ser. A, 284(1321), 225-254.
    • (1977) Philos. Trans. R. Soc. London Ser. A , vol.284 , Issue.1321 , pp. 225-254
    • Abbott, J.E.1    Francis, J.R.D.2
  • 2
    • 0023744345 scopus 로고
    • A one-dimensional model for the transport of a sediment mixture in non-equilibrium conditions
    • Armanini, A., and Di Silvio, G. (1988). "A one-dimensional model for the transport of a sediment mixture in non-equilibrium conditions." J. Hydraul. Res., 26(3), 275-292.
    • (1988) J. Hydraul. Res. , vol.26 , Issue.3 , pp. 275-292
    • Armanini, A.1    Di Silvio, G.2
  • 4
    • 0003810536 scopus 로고
    • The physics of blown sand and desert dunes, Methuen and Co
    • London
    • Bagnold, R. A. (1941). The physics of blown sand and desert dunes, Methuen and Co., London.
    • (1941)
    • Bagnold, R.A.1
  • 5
    • 0001304034 scopus 로고
    • The flow of cohesionless grains in fluids
    • Bagnold, R. A. (1956). "The flow of cohesionless grains in fluids." Philos. Trans. R. Soc. London Ser. A, 249(964), 235-297.
    • (1956) Philos. Trans. R. Soc. London Ser. A, , vol.249 , Issue.964 , pp. 235-297
    • Bagnold, R.A.1
  • 6
    • 0020556558 scopus 로고
    • Nonequilibrium bedload transport by steady flows
    • Bell, R. G., and Sutherland, A. J. (1983). "Nonequilibrium bedload transport by steady flows." J. Hydraul. Eng., 109(3), 351-367.
    • (1983) J. Hydraul. Eng. , vol.109 , Issue.3 , pp. 351-367
    • Bell, R.G.1    Sutherland, A.J.2
  • 7
    • 45749117190 scopus 로고    scopus 로고
    • Approximate profile for nonequilibrium suspended sediment
    • Brown, G. L. (2008). "Approximate profile for nonequilibrium suspended sediment." J. Hydraul. Eng., 134(7), 1010-1014.
    • (2008) J. Hydraul. Eng. , vol.134 , Issue.7 , pp. 1010-1014
    • Brown, G.L.1
  • 8
    • 31644445845 scopus 로고    scopus 로고
    • Shallow water hydrodynamic models for hyperconcentrated sediment-laden floods over erodible bed
    • Cao, Z. X., Pender, G., and Carling, P. (2006). "Shallow water hydrodynamic models for hyperconcentrated sediment-laden floods over erodible bed." Adv. Water Resour., 29(4), 546-557.
    • (2006) Adv. Water Resour. , vol.29 , Issue.4 , pp. 546-557
    • Cao, Z.X.1    Pender, G.2    Carling, P.3
  • 9
    • 0032183102 scopus 로고    scopus 로고
    • Formation of a jump by the dam-break wave over a granular bed
    • Capart, H., and Young, D. L. (1998). "Formation of a jump by the dam-break wave over a granular bed." J. Fluid Mech., 372(1), 165-187.
    • (1998) J. Fluid Mech. , vol.372 , Issue.1 , pp. 165-187
    • Capart, H.1    Young, D.L.2
  • 10
    • 0013765704 scopus 로고
    • Modeling suspended sediment transport in nonequilibrium situations
    • Celik, I., and Rodi, W. (1988). "Modeling suspended sediment transport in nonequilibrium situations." J. Hydraul. Eng., 114(10), 1157-1191.
    • (1988) J. Hydraul. Eng. , vol.114 , Issue.10 , pp. 1157-1191
    • Celik, I.1    Rodi, W.2
  • 11
    • 77957127897 scopus 로고    scopus 로고
    • Sensitivity analysis of nonequilibrium adaptation parameters for modeling mining-pit migration
    • Chen, D., Acharya, K., and Stone, M. (2010). "Sensitivity analysis of nonequilibrium adaptation parameters for modeling mining-pit migration." J. Hydraul. Eng., 136(10), 806-811.
    • (2010) J. Hydraul. Eng. , vol.136 , Issue.10 , pp. 806-811
    • Chen, D.1    Acharya, K.2    Stone, M.3
  • 12
    • 0032006394 scopus 로고    scopus 로고
    • Pickup probability for sediment entrainment
    • Cheng, N. S., and Chiew, Y. M. (1998). "Pickup probability for sediment entrainment." J. Hydraul. Eng., 124(2), 232-235.
    • (1998) J. Hydraul. Eng. , vol.124 , Issue.2 , pp. 232-235
    • Cheng, N.S.1    Chiew, Y.M.2
  • 13
    • 75849161206 scopus 로고    scopus 로고
    • Fluvial erosion/transport equation of landscape evolution models revisited
    • Davy, P., and Lague, D. (2009). "Fluvial erosion/transport equation of landscape evolution models revisited." J. Geophys. Res., 114(F3), F03007.
    • (2009) J. Geophys. Res. , vol.114 , Issue.3 F
    • Davy, P.1    Lague, D.2
  • 14
    • 84876715508 scopus 로고
    • Discussion of 'Modeling of riverbed evolution for bedload sediment mixtures
    • by J. L. Rahuel, F. M. Holly, J. P. Chollet, P. J. Belleudy, and F. Yang
    • Di Silvio, G., and Armanini, A. (1991). "Discussion of 'Modeling of riverbed evolution for bedload sediment mixtures' by J. L. Rahuel, F. M. Holly, J. P. Chollet, P. J. Belleudy, and F. Yang." J. Hydraul. Eng., 117(7), 949-951.
    • (1991) J. Hydraul. Eng. , vol.117 , Issue.7 , pp. 949-951
    • Di Silvio, G.1    Armanini, A.2
  • 15
    • 84860891215 scopus 로고    scopus 로고
    • Length and time scales of response of sediment suspensions to changing flow conditions
    • Dorrell, R. M., and Hogg, A. J. (2012). "Length and time scales of response of sediment suspensions to changing flow conditions." J. Hydraul. Eng., 138(5), 430-439.
    • (2012) J. Hydraul. Eng. , vol.138 , Issue.5 , pp. 430-439
    • Dorrell, R.M.1    Hogg, A.J.2
  • 16
    • 77956191695 scopus 로고    scopus 로고
    • Numerical simulation of meandering evolution
    • Duan, J. G., and Julien, P. Y. (2010). "Numerical simulation of meandering evolution." J. Hydrol., 391(1-2), 34-46.
    • (2010) J. Hydrol. , vol.391 , Issue.1-2 , pp. 34-46
    • Duan, J.G.1    Julien, P.Y.2
  • 17
    • 33746217906 scopus 로고    scopus 로고
    • Two-dimensional depth-averaged model simulation of suspended sediment concentration distribution in a groyne field
    • 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.
    • (2006) J. Hydrol. , vol.327 , Issue.3-4 , pp. 426-437
    • Duan, J.G.1    Nanda, S.K.2
  • 18
    • 0003215778 scopus 로고
    • The bed load function for sediment transportation in open channel flows
    • Einstein, H. A. (1950). "The bed load function for sediment transportation in open channel flows." U.S. Dept. Agri. Tech. Bull., 1026, 1-71.
    • (1950) U.S. Dept. Agri. Tech. Bull. , vol.1026 , pp. 1-71
    • Einstein, H.A.1
  • 19
    • 67650283500 scopus 로고    scopus 로고
    • One-dimensional numerical modeling of sediment transport and bed deformation in open channels
    • El kadi Abderrezzak, K., and Paquier, A. (2009). "One-dimensional numerical modeling of sediment transport and bed deformation in open channels." Water Resour. Res., 45(5), W05404.
    • (2009) Water Resour. Res. , vol.45 , Issue.5
    • El Kadi Abderrezzak, K.1    Paquier, A.2
  • 20
    • 0016890977 scopus 로고
    • Erosion and transport of bed-load sediment
    • Fernandez-Luque, R., and van Beek, R. (1976). "Erosion and transport of bed-load sediment." J. Hydraul. Res., 14(2), 127-144.
    • (1976) J. Hydraul. Res. , vol.14 , Issue.2 , pp. 127-144
    • Fernandez-Luque, R.1    van Beek, R.2
  • 21
    • 0037173224 scopus 로고    scopus 로고
    • Riemann wave description of erosional dam-break flows
    • Fraccarollo, L., and Capart, H. (2002). "Riemann wave description of erosional dam-break flows." J. Fluid Mech., 461(1), 183-228.
    • (2002) J. Fluid Mech. , vol.461 , Issue.1 , pp. 183-228
    • Fraccarollo, L.1    Capart, H.2
  • 22
    • 0037473248 scopus 로고    scopus 로고
    • A Godunov method for the computation of erosional shallow water transients
    • Fraccarollo, L., Capart, H., and Zech, Y. (2003). "A Godunov method for the computation of erosional shallow water transients." Int. J. Numer. Methods Fluids, 41(9), 951-976.
    • (2003) Int. J. Numer. Methods Fluids , vol.41 , Issue.9 , pp. 951-976
    • Fraccarollo, L.1    Capart, H.2    Zech, Y.3
  • 23
    • 0021841147 scopus 로고
    • A depth-integrated model for suspended sediment transport
    • Galappatti, G., and Vreugdenhil, C. B. (1985). "A depth-integrated model for suspended sediment transport." J. Hydraul. Res., 23(4), 359-377.
    • (1985) J. Hydraul. Res. , vol.23 , Issue.4 , pp. 359-377
    • Galappatti, G.1    Vreugdenhil, C.B.2
  • 24
    • 0026474951 scopus 로고
    • Modeling water erosion due to overland flow using physical principles: 1. Sheet flow
    • Hairsine, P. B., and Rose, C. W. (1992a). "Modeling water erosion due to overland flow using physical principles: 1. Sheet flow." Water Resour. Res., 28(1), 237-243.
    • (1992) Water Resour. Res. , vol.28 , Issue.1 , pp. 237-243
    • Hairsine, P.B.1    Rose, C.W.2
  • 25
    • 0026492735 scopus 로고
    • Modeling water erosion due to overland flow using physical principles: 2. Rill flow.
    • Hairsine, P. B., and Rose, C. W. (1992b). "Modeling water erosion due to overland flow using physical principles: 2. Rill flow." Water Resour. Res., 28(1), 245-250.
    • (1992) Water Resour. Res. , vol.28 , Issue.1 , pp. 245-250
    • Hairsine, P.B.1    Rose, C.W.2
  • 26
    • 0035794602 scopus 로고    scopus 로고
    • Testing a mechanistic soil model with a simple experiment
    • Heilig, A., et al. (2001). "Testing a mechanistic soil model with a simple experiment." J. Hydrol., 244(1-2), 9-16.
    • (2001) J. Hydrol. , vol.244 , Issue.1-2 , pp. 9-16
    • Heilig, A.1
  • 27
    • 79951806387 scopus 로고    scopus 로고
    • Modeling the dynamics of soil erosion and size-selective sediment transport over nonuniform topography in flume-scale experiments
    • Heng, B. C. P., Sander, G. C., Armstrong, A., Quinton, J. N., Chandler, J. H., and Scott, C. F. (2011). "Modeling the dynamics of soil erosion and size-selective sediment transport over nonuniform topography in flume-scale experiments." Water Resour. Res., 47(2), W02513.
    • (2011) Water Resour. Res. , vol.47 , Issue.2
    • Heng, B.C.P.1    Sander, G.C.2    Armstrong, A.3    Quinton, J.N.4    Chandler, J.H.5    Scott, C.F.6
  • 28
    • 67650286630 scopus 로고    scopus 로고
    • Modeling overland flow and soil erosion on nonuniform hillslopes: A finite volume scheme
    • Heng, B. C. P., Sander, G. C., and Scott, C. F. (2009). "Modeling overland flow and soil erosion on nonuniform hillslopes: A finite volume scheme." Water Resour. Res., 45(5), W05423.
    • (2009) Water Resour. Res. , vol.45 , Issue.5
    • Heng, B.C.P.1    Sander, G.C.2    Scott, C.F.3
  • 29
    • 0025112382 scopus 로고
    • New numerical physical framework for mobile-bed modeling. Part 1: Numerical and physical principles
    • Holly, F. M., and Rahuel, J. L. (1990a). "New numerical physical framework for mobile-bed modeling. Part 1: Numerical and physical principles." J. Hydraul. Res., 28(4), 401-416.
    • (1990) J. Hydraul. Res. , vol.28 , Issue.4 , pp. 401-416
    • Holly, F.M.1    Rahuel, J.L.2
  • 30
    • 0025570467 scopus 로고
    • New numerical/physical framework for mobile-bed modelling. Part 2: Test applications
    • Holly, F. M., and Rahuel, J. L. (1990b). "New numerical/physical framework for mobile-bed modelling. Part 2: Test applications." J. Hydraul. Res., 28(5), 545-564.
    • (1990) J. Hydraul. Res. , vol.28 , Issue.5 , pp. 545-564
    • Holly, F.M.1    Rahuel, J.L.2
  • 31
    • 0027009145 scopus 로고
    • Note on lag in bedload discharge
    • Jain, S. C. (1992). "Note on lag in bedload discharge." J. Hydraul. Eng., 118(6), 904-917.
    • (1992) J. Hydraul. Eng. , vol.118 , Issue.6 , pp. 904-917
    • Jain, S.C.1
  • 32
    • 0028429588 scopus 로고
    • A new vectorial bedload formulation and its application to the time evolution of straight river channels
    • 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.
    • (1994) J. Fluid Mech. , vol.267 , pp. 153-183
    • Kovacs, A.1    Parker, G.2
  • 33
    • 0035278356 scopus 로고    scopus 로고
    • Risk of sediment erosion and suspension in turbulent flows
    • Lopez, F., and Garcia, M. H. (2001). "Risk of sediment erosion and suspension in turbulent flows." J. Hydraul. Eng., 127(3), 231-235.
    • (2001) J. Hydraul. Eng. , vol.127 , Issue.3 , pp. 231-235
    • Lopez, F.1    Garcia, M.H.2
  • 34
    • 41049098059 scopus 로고    scopus 로고
    • Numerical simulation of contraction scour in an open laboratory channel
    • Minh Duc, B., and Rodi, W. (2008). "Numerical simulation of contraction scour in an open laboratory channel." J. Hydraul. Eng., 134(4), 367-377.
    • (2008) J. Hydraul. Eng. , vol.134 , Issue.4 , pp. 367-377
    • Minh Duc, B.1    Rodi, W.2
  • 35
    • 20444496952 scopus 로고    scopus 로고
    • Modeling response of soil erosion and runoff to changes in precipitation and cover
    • Nearing, M. A., et al. (2005). "Modeling response of soil erosion and runoff to changes in precipitation and cover." Catena, 61(2-3), 131-154.
    • (2005) Catena , vol.61 , Issue.2-3 , pp. 131-154
    • Nearing, M.A.1
  • 36
    • 2042488940 scopus 로고
    • An experimental investigation of bed degradation in an open channel
    • Newton, C. T. (1951). "An experimental investigation of bed degradation in an open channel." Trans. Boston Soc. Civ. Eng., 195, 28-60.
    • (1951) Trans. Boston Soc. Civ. Eng. , vol.195 , pp. 28-60
    • Newton, C.T.1
  • 37
    • 0032581027 scopus 로고    scopus 로고
    • Using Lagrangian particle saltation observations for bedload sediment transport modelling
    • Nino, Y., and Garcia, M. (1998). "Using Lagrangian particle saltation observations for bedload sediment transport modelling." Hydrol. Processes, 12(8), 1197-1218.
    • (1998) Hydrol. Processes , vol.12 , Issue.8 , pp. 1197-1218
    • Nino, Y.1    Garcia, M.2
  • 38
    • 0028179208 scopus 로고
    • Gravel saltation: 1.Experiments
    • Nino, Y., Garcia, M., and Ayala, L. (1994). "Gravel saltation: 1. Experiments." Water Resour. Res., 30(6), 1907-1914.
    • (1994) Water Resour. Res. , vol.30 , Issue.6 , pp. 1907-1914
    • Nino, Y.1    Garcia, M.2    Ayala, L.3
  • 39
    • 0036538185 scopus 로고    scopus 로고
    • Stochastic incipient motion criterion for spheres under various bed packing conditions
    • Papanicolaou, A. N., Diplas, P., Evaggelopoulos, N., and Fotopoulos, S. (2002). "Stochastic incipient motion criterion for spheres under various bed packing conditions." J. Hydraul. Eng., 128(4), 369-380.
    • (2002) J. Hydraul. Eng. , vol.128 , Issue.4 , pp. 369-380
    • Papanicolaou, A.N.1    Diplas, P.2    Evaggelopoulos, N.3    Fotopoulos, S.4
  • 44
    • 0024855358 scopus 로고
    • Spatial lag effects in bed load sediment transport
    • Phillips, B. C., and Sutherland, A. J. (1989). "Spatial lag effects in bed load sediment transport." J. Hydraul. Res., 27(1), 115-133.
    • (1989) J. Hydraul. Res. , vol.27 , Issue.1 , pp. 115-133
    • Phillips, B.C.1    Sutherland, A.J.2
  • 45
    • 0024557783 scopus 로고
    • Modeling of riverbed evolution for bedload sediment mixtures
    • Rahuel, J. L., Holly, F. M., Chollet, J. P., Belleudy, P. J., and Yang, G. (1989). "Modeling of riverbed evolution for bedload sediment mixtures." J. Hydraul. Eng., 115(11), 1521-1542.
    • (1989) J. Hydraul. Eng. , vol.115 , Issue.11 , pp. 1521-1542
    • Rahuel, J.L.1    Holly, F.M.2    Chollet, J.P.3    Belleudy, P.J.4    Yang, G.5
  • 46
    • 0029668110 scopus 로고    scopus 로고
    • Unsteady soil erosion model, analytical solutions and comparison with experimental results
    • Sander, G. C., et al. (1996). "Unsteady soil erosion model, analytical solutions and comparison with experimental results." J. Hydrol., 178(1-4), 351-367.
    • (1996) J. Hydrol. , vol.178 , Issue.1-4 , pp. 351-367
    • Sander, G.C.1
  • 47
    • 0036880471 scopus 로고    scopus 로고
    • Bed load at low Shields stress on arbitrarily sloping beds: Failure of the Bagnold hypothesis
    • Seminara, G., Solari, L., and Parker, G. (2002). "Bed load at low Shields stress on arbitrarily sloping beds: Failure of the Bagnold hypothesis." Water Resour. Res., 38(11), 1249.
    • (2002) Water Resour. Res. , vol.38 , Issue.11 , pp. 1249
    • Seminara, G.1    Solari, L.2    Parker, G.3
  • 48
    • 0027072197 scopus 로고
    • The overshoot and equilibration of saltation
    • Shao, Y., and Raupach, M. R. (1992). "The overshoot and equilibration of saltation." J. Geophys. Res., 97(D18), 20559-20564.
    • (1992) J. Geophys. Res. , vol.97 , Issue.18 D , pp. 20559-20564
    • Shao, Y.1    Raupach, M.R.2
  • 49
    • 34247203107 scopus 로고    scopus 로고
    • Small-scale laboratory dam-break waves on movable beds
    • Spinewine, B., and Zech, Y. (2007). "Small-scale laboratory dam-break waves on movable beds." J. Hydraul. Res., 45(S1), 73-86.
    • (2007) J. Hydraul. Res. , vol.45 , Issue.1 S , pp. 73-86
    • Spinewine, B.1    Zech, Y.2
  • 52
    • 0021561247 scopus 로고
    • Sediment transport, Part I: Bed load transport
    • van Rijn, L. C. (1984a). "Sediment transport, Part I: Bed load transport." J. Hydraul. Eng., 110(10), 1431-1456.
    • (1984) J. Hydraul. Eng. , vol.110 , Issue.10 , pp. 1431-1456
    • van Rijn, L.C.1
  • 53
    • 0021222040 scopus 로고
    • Sediment transport, Part II: Suspended load transport
    • van Rijn, L. C. (1984b). "Sediment transport, Part II: Suspended load transport." J. Hydraul. Eng., 110(11), 1613-1641.
    • (1984) J. Hydraul. Eng. , vol.110 , Issue.11 , pp. 1613-1641
    • van Rijn, L.C.1
  • 57
    • 46649106913 scopus 로고    scopus 로고
    • A transport-distance approach to scaling erosion rates: 3.Evaluating scaling characteristics of MAHLERAN
    • Wainwright, J., Parsons, A. J., Muller, E. N., Brazier, R. E., Powell, D. M., and Fenti, B. (2008c). "A transport-distance approach to scaling erosion rates: 3. Evaluating scaling characteristics of MAHLERAN." Earth Surf. Processes Landforms, 33(7), 1113-1128.
    • (2008) Earth Surf. Processes Landforms , vol.33 , Issue.7 , pp. 1113-1128
    • Wainwright, J.1    Parsons, A.J.2    Muller, E.N.3    Brazier, R.E.4    Powell, D.M.5    Fenti, B.6
  • 58
    • 0028427337 scopus 로고
    • Turbulent structure of water and clay suspensions with bed load
    • Wang, Z., and Larsen, P. (1994). "Turbulent structure of water and clay suspensions with bed load." J. Hydraul. Eng., 120(5), 577-600.
    • (1994) J. Hydraul. Eng. , vol.120 , Issue.5 , pp. 577-600
    • Wang, Z.1    Larsen, P.2
  • 59
    • 0036538674 scopus 로고    scopus 로고
    • Pickup probability of sediment under log-normal velocity distribution
    • Wu, F. C., and Lin, Y. C. (2002). "Pickup probability of sediment under log-normal velocity distribution." J. Hydraul. Eng., 128(4), 438-442.
    • (2002) J. Hydraul. Eng. , vol.128 , Issue.4 , pp. 438-442
    • Wu, F.C.1    Lin, Y.C.2
  • 60
    • 10344220520 scopus 로고    scopus 로고
    • Entrainment probabilities of mixedsize sediment incorporating near-bed coherent flow structures
    • Wu, F. C., and Yang, K. H. (2004). "Entrainment probabilities of mixedsize sediment incorporating near-bed coherent flow structures." J. Hydraul. Eng., 130(12), 1187-1197.
    • (2004) J. Hydraul. Eng. , vol.130 , Issue.12 , pp. 1187-1197
    • Wu, F.C.1    Yang, K.H.2
  • 61
    • 33845645960 scopus 로고    scopus 로고
    • One-dimensional modeling of dambreak flow over movable beds
    • Wu, W., and Wang, S. S. Y. (2007). "One-dimensional modeling of dambreak flow over movable beds." J. Hydraul. Eng., 133(1), 48-58.
    • (2007) J. Hydraul. Eng. , vol.133 , Issue.1 , pp. 48-58
    • Wu, W.1    Wang, S.S.Y.2
  • 63
    • 8744229099 scopus 로고    scopus 로고
    • Upwind conservative scheme for the saint venant equations
    • Ying, X. Y., Khan, A. A., andWang, S. S. Y. (2004). "Upwind conservative scheme for the saint venant equations." J. Hydraul. Eng., 130(10), 977-987.
    • (2004) J. Hydraul. Eng. , vol.130 , Issue.10 , pp. 977-987
    • Ying, X.Y.1    Khan, A.A.2    Wang, S.S.Y.3
  • 64
    • 79960022367 scopus 로고    scopus 로고
    • 1D finite volume model of unsteady sediment transport model
    • Zhang, S., and Duan, J. G. (2011). "1D finite volume model of unsteady sediment transport model." J. Hydrol., 405(1-2), 57-68.
    • (2011) J. Hydrol. , vol.405 , Issue.1-2 , pp. 57-68
    • Zhang, S.1    Duan, J.G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.