A three-dimensional distinct element model for bed-load transport

References

• Asano , T. Two-phase flow model on oscillatory sheetflow . Proc. 22nd ASCE Intl. Conf. Coastal Engineering . Delft, NL. pp. 2372 – 2384 .
   Google Scholar
• Bagnold , R. A. 1954 . Experiments on a gravity free dispersion of large solid spheres in a Newtonian fluid shear . Proc. Royal Society London , 225 ( 1160 ) : 49 – 63 . Series A
   Google Scholar
• Bakker , W. T. and van Kesteren , W. G. M. The dynamics of oscillatory sheet-flow . Proc. 20th ASCE Intl. Conf. Coastal Engineering . Taipei, Taiwan. pp. 940 – 954 .
   Google Scholar
• Calantoni , J. , Holland , K. T. and Drake , T. G. 2004 . Modelling sheet-flowsediment transport inwave-bottom boundary layers using discrete-element modelling . Phil. Trans. Royal Society London , 262 : 1987 – 2001 . Series A
   Google Scholar
• Cundall , P. A. and Strack , O. D. 1979 . A discrete numerical model for granular assemblies . Géotechnique , 29 ( 1 ) : 47 – 65 .
   Web of Science ®Google Scholar
• Dong , P. and Zhang , K. 2002 . Intense near-bed sediment motions in waves and currents . Coastal Engineering , 45 ( 2 ) : 75 – 87 .
   Web of Science ®Google Scholar
• Drake , T. G. , Shreve , R. L. , Dietrich , W. E. , Whiting , P. E. and Leopold , L. B. 1988 . Bed-load transport of fine gravel observed by motion-picture photography . J. Fluid Mech. , 192 : 193 – 217 .
   Web of Science ®Google Scholar
• Drake , T. G. and Calantoni , J. 2001 . Discrete particle model for sheet flow sediment transport in the nearshore . J. Geophysical Res. , 106 : 19859 – 19868 .
   Web of Science ®Google Scholar
• Gotoh , H. , Tsujimoto , T. and Nakagawa , H. 1994 . “ Numerical model of interphase momentum transfer and interparticle collision in bed-load layer ” . In Proc. APD-IAHR 565 – 572 . Singapore
   Google Scholar
• Gotoh , H. , Tsujimoto , T. and Nakagawa , H. 1995 . Refined PSIcell model of interphase and interparticle momentum transfer in bed-load layer . J. Hydrosci. Hydr. Eng. , 13 ( 1 ) : 13 – 24 .
   Google Scholar
• Gotoh , H. and Sakai , T. 1997 . Numerical simulation of sheet-flow as granular materials . J. Waterway, Port, Coastal, and Ocean Eng. , 123 ( 6 ) : 329 – 336 .
   Web of Science ®Google Scholar
• Govan , A. H. , Hewitt , G. F. and Ngan , C. F. 1989 . Particle motion in a turbulent pipe flow . Intl. J. Multiphase Flow , 15 ( 1 ) : 471 – 481 .
   Web of Science ®Google Scholar
• Hsu , T. , Chang , K. and Hsieh , C. 2003 . A two-phase flow model of wave-induced sheet flow . J. Hydr. Res. , 41 ( 3 ) : 299 – 310 .
   Web of Science ®Google Scholar
• Hsu , T. J. , Jenkins , J. T. and Liu , P. L. F. 2004 . Two-phase sediment transport: Sheet flow of massive particles . Proc. Royal Society London , 460 : 2223 – 2250 . Series A
   Google Scholar
• Jenkins , J. T. and Hanes , D. M. 1998 . Collisional sheet-flow of sediment driven by a turbulent fluid . J. Fluid Mech. , 370 : 29 – 52 .
   Web of Science ®Google Scholar
• Julien , P. Y. and Anthony , D. J. 2002 . Bed load motion and grain sorting in a meandering stream . J. Hydr. Res. , 40 ( 2 ) : 125 – 133 .
   Web of Science ®Google Scholar
• Kobayashi , N. and Seo , S. N. 1985 . Fluid and sediment interaction over a plane bed . J. Hydr. Engng. , 111 ( 6 ) : 903 – 921 .
   Google Scholar
• Madsen , O. S. and Grant , W. D. Quantitative description of sediment transport by waves . Proc. 15th ASCE Coastal Engineering Conference . Honolulu, Hawaii. pp. 1093 – 1112 .
   Google Scholar
• Meyer-Peter , E. and Müller , R. Formulas for bed-load transport . Proc. 2nd IAHR Congress . pp. 39 – 64 . Stockholm
   Google Scholar
• Nezu , I. 1977 . Turbulent structure in open-channel flows , Kyoto, , Japan : Kyoto University . PhD Thesis
   Google Scholar
• Sumer , B. M. , Kozakiewicz , A. , Fredsoe , J. and Deigaard , R. 1996 . Sheet-flow measurements in steady currents . J. Hydr. Engng. , 122 ( 10 ) : 549 – 558 .
   Web of Science ®Google Scholar
• Wiberg , P. L. and Smith , J. D. 1989 . Model for calculating bed-load transport . J. Hydr. Engng. , 115 ( 1 ) : 101 – 123 .
   Web of Science ®Google Scholar
• Yeganeh-Bakhtiary , A. Velocity profile of sediment-laden flowin transition from saltation to sheet-flow . Proc. 27th IAHR Congress (JFK-SP) . San Francisco, USA. pp. 1 – 6 .
   Google Scholar
• Yeganeh-Bakhtiary , A. , Gotoh , H. and Sakai , T. 2000 . Applicability of the Euler-Lagrange coupling multiphase-flow model to bed-load transport at high shear stress . J. Hydr. Res. , 38 ( 5 ) : 389 – 398 .
   Web of Science ®Google Scholar