nach oben

Erschienen in:

2015 | OriginalPaper | Buchkapitel

16. Lagrangian Modelling of Saltating Sediment Transport: A Review

verfasst von : Robert J. Bialik

Erschienen in: Rivers – Physical, Fluvial and Environmental Processes

Verlag: Springer International Publishing

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config

KI-gestützte Suche

Aus

Abstract

One hundred years of research on the saltation in rivers, both experimental and numerical, has allowed for a fairly good improvement of our knowledge of the physics of the saltation process. Lagrangian modelling has played a huge role in this field and has made it possible to apply the knowledge obtained in the analysis of processes associated with the movement of sediment particles. The present paper briefly reviews the current state-of-the-art of the Lagrangian modelling of saltating grains in open channels and highlights recent findings in three areas in which employment of the Lagrangian models of saltation improve our understanding of sediment transport in rivers, namely: initial motion of saltating grains, diffusion of particles and calculation of the bedload transport rate. The particular challenges in all of these research areas are discussed and future ways forward are presented.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

über 102.000 Bücher
über 537 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Finance + Banking
Management + Führung
Marketing + Vertrieb
Maschinenbau + Werkstoffe
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 390 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Maschinenbau + Werkstoffe

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Vorheriges Kapitel Fluvial Processes in Braided Rivers

Nächstes Kapitel Runoff Generation and Soil Erosion After Forest Fires from the Slopes to the Rivers at a Basin Scale

The original spellings are used here.

Abbott JE, Francis JRD (1977) Saltation and suspension trajectories of solid grains in a water stream. Phil Trans R Soc Lond A 284(1321):225–254CrossRef

Bagnold RA (1956) The flow of cohesionless grains in fluid. Phil Trans R Soc Lond A 249:235–297CrossRef

Bagnold RA (1973) The nature of saltation and of bedload transport in water. Proc R Soc Lond A 332(1591):473–504CrossRef

Basset AB (1888) A treatise on hydrodynamics: with numerous examples. Deighton, Bell and Co., Cambridge; George Bell and Sons, London, p 264

Bialik RJ (2010) Modeling of the saltating particles motion in the river flow and the bedload sediment transport. Ph.D. thesis, Institute of Geophysics, Polish Academy of Sciences, Warsaw, (in Polish)

Bialik RJ (2011a) Particle–particle collision in Lagrangian modeling of saltating grains. J Hydraul Res 49(1):23–31CrossRef

Bialik RJ (2011b) Numerical study of saltation of non-uniform grains. J Hydraul Res 49(5):697–701CrossRef

Bialik RJ, Nikora VI, Rowiński PM (2012) 3D Lagrangian modelling of saltating particles diffusion in turbulent water flow. Acta Geophys 60(6):1639–1660CrossRef

Bialik RJ (2013) Numerical study of near-bed turbulence structures influence on the initiation of saltating grains movement. J Hydrol Hydromech 61(3):202–207CrossRef

Bialik RJ, Czernuszenko W (2013) On the numerical analysis of bedload transport of saltating grains. Int J Sediment Res 28(3):413–420CrossRef

Bialik RJ, Nikora VI, Karpiński M, Rowiński PM (2015) Diffusion of bedload particles in open-channels flows: distribution of travel times and second-order statistics of particle trajectories. Environ Fluid Mech (on-line first)

Bombardelli FA, González AE, Niño YI (2008) Computation of the particle basset force with a fractional-derivative approach. J Hydraul Eng ASCE 134(10):1513–1520CrossRef

Boussinesq J (1903) Théorie analytique de la chaleur. Gauthier-Villars, Imprimeur-Libraire, Paris

Bradley DN, Tucker GE, Benson DA (2010) Fractional dispersion in a sand bed river. J Geophys Res 115:F00A09

Browne T (1646) Pseudodoxia Epidemica. Of the picture of a Grashopper 5(3):274–275

Cameron SM (2006) Near-boundary flow structure and particle entrainment. Ph.D. thesis, University of Auckland, New Zealand

Campagnol J, Radice A, Nokes R, Bulankina V, Lescova A, Ballio F (2013) Lagrangian analysis of bedload sediment motion: database contribution. J Hydraul Res 51(5):589–596CrossRef

Corrsin S, Lumley J (1956) On the equation of motion for a particle in turbulent fluid. Appl Sci Res 6(2–3):114–116

Czernuszenko W (1998) The drift velocity concept for sediment-laden flows. J Hydraul Eng 124(10):1026–1033CrossRef

Czernuszenko W, Rowiński PM (2008) Shear stress statistics in a compound channel flow. Arch Hydro-Engin Environ Mech 55(1–2):3–27

Drake TG, Shreve RL, Dietrich WE, Whiting PJ, Leopold LB (1988) Bedload transport of fine gravel observed by motion-picture photography. J Fluid Mech 192:193–217CrossRef

Engelund F, Fredsøe J (1976) A sediment transport model for straight alluvial channels. Nord Hydrol 7:293–306

Einstein HA (1942) Formula for the transportation of bedload. Trans ASCE 107:561–577

Fernandez-Luque R, van Beek R (1976) Erosion and transport of bedload sediment. J Hydraul Res 14(2):127–144CrossRef

Francis JRD (1973) Experiments on the motion of solitary grains along the bed of a water stream. Proc R Soc Lond A 332:443–471CrossRef

Garcia M, Parker G (1991) Entrainment of bed sediment into suspension. J Hydraul Eng 117(4):414–435CrossRef

Gilbert GK (1914) The transportation of debris by running water. US Geol Surv Prof Pap 89:263

Gordon R, Carmichael JB, Isackson FJ (1972) Saltation of plastic balls in a one-dimensional flume. Water Resour Res 8(2):444–459CrossRef

Habersack HM (2001) Radio-tracking gravel particles in a large braided river in New Zealand: a field test of the stochastic theory of bedload transport proposed by Einstein. Hydrol Process 15(3):377–391CrossRef

Ji C, Munjiza A, Avital E, Xu D, Williams J (2014) Saltation of particles in turbulent channel flow. Phys Rev E 89:052202CrossRef

Kharlamova IS, Vlasak P (2015) Dependence of saltation characteristics on bed organisation in numerical simulation. Geosci J 9(1):177–184CrossRef

Lajeunesse E, Malverti L, Charru F (2010) Bedload transport in turbulent flow at the grain scale: experiments and modeling. J Geophys Res 115:F04001

Lee SL (1987) A unified theory on particle transport in a turbulent dilute two-phase suspension flow II. Int J Multiphase Flow 13(1):137–144CrossRef

Lee SL, Wiesler MA (1987) Theory on transverse migration of particles in a turbulent two-phase suspension flow due to turbulent diffusion I. Int J Multiphase Flow 13(1):99–111CrossRef

Lee HY, Hsu IS (1994) Investigation of saltating particles motions. J Hydraul Eng 120(7):831–845CrossRef

Lee HY, Hsu IS (1996) Particle spinning motion during saltating particles. J Hydraul Eng 122(10):587–589CrossRef

Lee HY, Chen YH, You JY, Lin YT (2000) Investigation of continuous bedload saltating process. J Hydraul Eng 126(9):691–700CrossRef

Lee HY, You JY, Lin YT (2002) Continuous saltating process of multiple sediment particles. J Hydraul Eng 128(4):443–450CrossRef

Lee HY, Lin YT, Chen YH, You JY, Wang HW (2006) On three-dimensional continuous saltating process of sediment particles near the channel bed. J Hydraul Res 44(3):374–389CrossRef

Lu SS, Willmarth WW (1973) Measurements of the structure of the Reynolds stress in a turbulent boundary layer. J Fluid Mech 60:481–571CrossRef

Lukerchenko N, Chara Z, Vlasak P (2006) 2D numerical model of particle-bed collision in fluid-particle flows over bed. J Hydraul Res 44(1):70–78CrossRef

Lukerchenko N, Kvurt Y, Kharlamov A, Chara Z, Vlasak P (2008) Experimental evaluation of the drag force and drag torque acting on a rotating spherical particle moving in fluid. J Hydrol Hydromech 56(2):88–94

Lukerchenko N, Piatsevich S, Chara Z, Vlasak P (2009a) 3D numerical model of the spherical particle saltation in a channel with a rough fixed bed. J Hydrol Hydromech 57(2):100–112CrossRef

Lukerchenko N, Piatsevich S, Chara Z, Vlasak P (2009b) Numerical model of spherical particle saltation in a channel with a transversely tilted rough bed. J Hydrol Hydromech 57(3):182–190CrossRef

Lukerchenko N, Dolansky J, Vlasak P (2012) Basset force in numerical models of saltation. J Hydrol Hydromech 60(4):277–287

Maxey MR, Riley JJ (1983) Equation of motion of a small rigid sphere in a nonuniform flow. Phys Fluids 26(4):883–889CrossRef

McEwan IK, Willetts BB (1991) Numerical model of the saltation cloud. Acta Mech Suppl 1:53–66CrossRef

McEwan IK, Jefcoate BJ, Willetts BB (1999) The grain-fluid interaction as a self-stabilizing mechanism in fluvial bedload transport. Sedimentology 46:407–416CrossRef

McGee WJ (1908) Outlines of hydrology. Geol Soc America Bull 19:193–220CrossRef

Mei R, Adrian RJ, Hanratty T (1991) Particle dispersion in isotropic turbulence under Stokes drag and Basset force with gravitational settling. J Fluid Mech 225:481–495CrossRef

Meyer-Peter E, Muller R (1948) Formulas for bedload transport. Proc 2nd Int IAHR Congress

Moreno PM, Bombardelli FA (2012) 3D numerical simulation of particle–particle collisions in saltation mode near stream beds. Acta Geophys 60(6):1661–1688CrossRef

Murphy PJ, Hooshiari H (1982) Saltation in water dynamics. J Hydraul Div 108(11):1251–1267

Nelson JM, Shreve RL, McLean SR, Drake TG (1995) Role of near-bed turbulence structure in bedload transport and form mechanics. Water Resour Res 31(8):2071–2086CrossRef

Nezu I, Nakagawa H (1993) Turbulence in open-channel flows. Balkema, Netherlads

Nikora V, Heald J, Goring D, McEwan I (2001) Diffusion of saltating particles in unidirectional water flow over a rough granular bed. J Phys A: Math Gen 34:743–749CrossRef

Nikora V, Habersack H, Huber T, McEwan I (2002) On bed particle diffusion in gravel bed flows under weak bedload transport. Water Resour Res 38(6):17-1–17-9

Niño Y (1995) Particle motion in the near wall region of a turbulent open channel flow: implications for bedload transport by saltation and sediment entrainment into suspension. Ph.D. thesis, University of Illinois at Urban-Champaign, Urbana, Illinois

Niño Y, Garcia M (1994) Gravel saltation 2. Modelling. Water Resour Res 30(6):1915–1924CrossRef

Niño Y, Garcia M (1998a) Experiments on saltation of sand in water. J Hydraul Eng 124(10):1014–1025CrossRef

Niño Y, Garcia M (1998b) Using Lagrangian particle saltation observations for bedload sediment transport modelling. Hydrol Process 12(8):1197–1218CrossRef

Ossen CW (1927) Neure methoden und ergebnisse in der hydrodynamik. Akademische Verlagsgesellschaft, Leipzig, p 337

Rowiński PM, Lee SL (1993) Equilibrium profile of suspended sediment concentration. Acta Geophys Pol 41(2):163–176

Rowiński PM (1995) Transport of solid particles in turbulent water flow. Ph.D. thesis, Institute of Geophysics, Polish Academy of Sciences, Warsaw, (in Polish)

Roseberry JC, Schmeeckle MW, Furbish DJ (2012) A probabilistic description of the bedload sediment flux: 2. Particle activity and motions. J Geophys Res 117:F03032

Sayre W, Hubbell D (1965) Transport and dispersion of labeled bed material, North Loup River, Nebraska. US Geol Surv Prof Pap 433(C):1–48

Schmeeckle MW, Nelson JM, Pitlick J, Bennett JP (2001) Interparticle collision of natural sediment grains in water. Water Resour Res 37(9):2377–2391CrossRef

Sekine M, Kikkawa H (1992) Mechanics of saltating grains. II. J Hydraul Eng 118(4):536–558CrossRef

Sørensen M, McEwan IK (1996) On the effect of mid-air collisions on aeolian saltation. Sedimentology 43(1):65–76CrossRef

Tchen CM (1947) Mean value and correlation problems connected with the motion of small particles suspended in a turbulent fluid. Ph.D. thesis, The Hague, Marinus Nijhoff

Tucker GE, Bradley DN (2010) Trouble with diffusion: reassessing hillslope erosion laws with a particle-based model. J Geophys Res 115:F00A10

White BR (1979) Soil transport by winds on Mars. J Geophys Res 84(B9):4643–4651CrossRef

White BR, Greeley R, Iversen JD, Pollack JB (1976) Estimated grain saltation in a Martian atmosphere. J Geophys Res 81(32):5643–5650CrossRef

Wiberg PL, Smith JD (1985) A theoretical model for saltating grains in water. J Geophys Res 90(C4):7341–7354CrossRef

Wiberg PL, Smith JD (1987) Calculation of the critical shear stress for motion of uniform and heterogeneous sediments. Water Resour Res 23(8):1471–1480CrossRef

Wiberg PL, Smith JD (1989) Model for calculating bedload transport of sediment. J Hydraul Eng 115(1):101–123CrossRef

Yeganeh-Bakhtiary A, Shabani B, Gotoh H, Wang SSY (2009) A three-dimensional distinct element model for bedload transport. J Hydraul Res 47(2):203–212CrossRef

Zhang Y, Meerschaert MM, Packman AI (2012) Linking fluvial bed sediment transport across scales. Geophys Res Lett 39:L20404

Zou XY, Cheng H, Zhang CL, Zhao YZ (2007) Effects of the Magnus and Saffman forces on the saltation trajectories of sand grain. Geomorphology 90(1–2):11–22CrossRef

Titel: Lagrangian Modelling of Saltating Sediment Transport: A Review
verfasst von: Robert J. Bialik
Verlag: Springer International Publishing
Buch: Rivers – Physical, Fluvial and Environmental Processes
Print ISBN: 978-3-319-17718-2

Electronic ISBN: 978-3-319-17719-9

Copyright-Jahr: 2015
DOI: https://doi.org/10.1007/978-3-319-17719-9_16