Skip to main content
SpringerLink
Log in

Sediment transport and bedforms: a numerical study of two-phase viscous shear flow

  • 50th Anniversary of Meccanica
  • Published:
Meccanica Aims and scope Submit manuscript

Abstract

After a quick overview of recent research on sediment transport by shear flow and ripple and dune formation, original numerical results are presented from two-phase flow modelling of the interaction between a viscous flow and a bed of particles. Good agreement is found with previous experiments or numerical simulation, notably for the particle flux and velocity profiles within the moving layer. Bed instability is also found, giving rise to ripples whose characteristics are discussed.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7

Similar content being viewed by others

References

  1. Anderson TB, Jackson R (1967) Fluid mechanical description of fluidized beds. Equations of motion. Ind Eng Chem Fund 6:527–539

    Article  Google Scholar 

  2. Aussillous P, Chauchat J, Pailha MMM, Guazzelli E (2013) Investigation of the mobile granular layer in bedload transport by laminar shearing flows. J Fluid Mech 736:594–615

    Article  ADS  MATH  Google Scholar 

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

    Article  ADS  MathSciNet  Google Scholar 

  4. Bagnold RA (1973) The nature of saltation and of ‘bed-load’ transport in water. Proc R Soc Lond A 332:473–504

    Article  ADS  Google Scholar 

  5. Blondeaux P (2001) Mechanics of coastal forms. Annu Rev Fluid Mech 33:339–370

    Article  ADS  MATH  Google Scholar 

  6. Calmet I, Magnaudet J (1997) Large-eddy simulation of high-Schmidt number mass transfer in a turbulent channel flow. Phys Fluids 9:438–455

    Article  ADS  Google Scholar 

  7. Capecelatro J, Desjardins O (2013) Eulerian-Lagrangian modeling of turbulent liquid-solid slurries in horizontal pipes. Intl J Multiph Flow 55:64–79

    Article  Google Scholar 

  8. Charru F, Mouilleron-Arnould H (2002) Instability of a bed of particles sheared by a viscous flow. J Fluid Mech 452:303–323

    Article  ADS  MATH  Google Scholar 

  9. Charru F, Mouilleron H, Eiff O (2004) Erosion and deposition of particles on a bed sheared by a viscous flow. J Fluid Mech 519:55–80

    Article  ADS  MATH  Google Scholar 

  10. Charru F, Andreotti B, Claudin P (2013) Sand ripples and dunes. Annu Rev Fluid Mech 45:469–493

    Article  ADS  MathSciNet  MATH  Google Scholar 

  11. Chauchat J, Médale M (2010) A three-dimensional numerical model for incompressible two-phase flow of a granular bed submitted to a laminar shearing flow. Comput Methods Appl Mech Eng 199:439–449

    Article  ADS  MathSciNet  MATH  Google Scholar 

  12. Colombini M (2004) Revisiting the linear theory of sand dune formation. J Fluid Mech 502:1–16

    Article  ADS  MathSciNet  MATH  Google Scholar 

  13. Colombini M, Stocchino A (2011) Ripple and dune formation in rivers. J Fluid Mech 673:121–131

    Article  ADS  MathSciNet  MATH  Google Scholar 

  14. Cundall PA, Strack ODL (1979) A discrete numerical model for granular assemblies. Géotechnique 29:47–65

    Article  Google Scholar 

  15. Derksen JJ (2011) Simulations of granular bed erosion due to laminar shear flow near the critical Shields number. Phys Fluids 23(11):1–12

    Article  Google Scholar 

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

    Article  Google Scholar 

  17. Fourrière A, Claudin P, Andreotti B (2010) Bedforms in a turbulent stream: formation of ripples by primary linear instability and of dunes by non-linear pattern coarsening. J Fluid Mech 649:287–328

    Article  ADS  MathSciNet  MATH  Google Scholar 

  18. Gibilaro LG, Gallucci K, di Felice R, Pagliai P (2007) On the apparent viscosity of a fluidized bed. Chem Eng Sci 62:294–300

    Article  Google Scholar 

  19. Houssais M, Ortiz CP, Durian DJ, Jerolmack DJ (2015) Onset of sediment transport is a continuous transition driven by fluid shear and granular creep. Nat Commun 6:6527

    Article  ADS  Google Scholar 

  20. Izard É, Bonometti T, Lacaze L (2014a) Modelling the dynamics of a sphere approaching and bouncing on a wall in a viscous fluid. J Fluid Mech 747:422–446

    Article  ADS  MathSciNet  Google Scholar 

  21. Izard E, Bonometti T, Lacaze L (2014b) Simulation of an avalanche in a fluid with a soft-sphere/immersed boundary method including a lubrication force. J Comput Multiph Flows 6:391–405

    Article  Google Scholar 

  22. Kidanemariam AG, Uhlmann M (2014a) Direct numerical simulation of pattern formation in subaqueous sediment. J Fluid Mech 750:R2

    Article  Google Scholar 

  23. Kidanemariam AG, Uhlmann M (2014b) Interface-resolved direct numerical simulation of the erosion of a sediment bed sheared by laminar channel flow. Int J Multiph Flow 67:174–188

    Article  Google Scholar 

  24. Lajeunesse E, Malverti L, Charru F (2010) Bedload transport in turbulent flow at the grain scale: experiments and modeling. J Geophys Res 115(F04):001

    Google Scholar 

  25. Leighton D, Acrivos A (1986) Viscous resuspension. Chem Eng Sci 41(6):1377–1384

    Article  Google Scholar 

  26. Mouilleron H, Charru F, Eiff O (2009) Inside the moving layer of a sheared granular bed. J Fluid Mech 628:229–239

    Article  ADS  MATH  Google Scholar 

  27. Ouriemi M, Aussillous P, Guazzelli E (2009) Sediment dynamics. Part 1. Bed-load transport. J Fluid Mech 636:295–319

    Article  MathSciNet  MATH  Google Scholar 

  28. Raudkivi AJ (2006) Transition from ripples to dunes. J Hydraul Eng 132(12):1316–1320

    Article  Google Scholar 

  29. Seminara G (2010) Fluvial sedimentary patterns. Annu Rev Fluid Mech 42:43–66

    Article  ADS  MATH  Google Scholar 

  30. Tenneti S, Garg R, Subramaniam S (2011) Drag law for monodisperse gas-solid systems using particle-resolved direct numerical simulation of flow past fixed assemblies of spheres. Intl J Multiph Flow 37:1072–1092

    Article  Google Scholar 

  31. Xiao H, Sun J (2011) Algorithms in a robust hybrid CFD-DEM solver for particle-laden flows. Commun Comput Phys 9(2):297–323

  32. Yalin MS (1985) On the determination of ripple geometry. J Hydraul Eng 111:1148–1155

    Article  Google Scholar 

Download references

Acknowledgements

The authors thank Annaig Pedrono for her support in the coupling of the fluid and DEM solvers. The study was supported by the French Agence Nationale de la Recherche (project ANR-12-2013-ModSed), and some of the computational time was provided by the Scientific Grouping CALMIP (project P1027).

Author information

Authors and Affiliations

  1. IMFT, Université de Toulouse, CNRS, INPT, UPS, Toulouse, France

    F. Charru, J. Bouteloup, T. Bonometti & L. Lacaze

Authors
  1. F. Charru
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. J. Bouteloup
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. T. Bonometti
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. L. Lacaze
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to F. Charru.

Ethics declarations

Conflicts of interest

The authors declare that they have no conflict of interest.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Charru, F., Bouteloup, J., Bonometti, T. et al. Sediment transport and bedforms: a numerical study of two-phase viscous shear flow. Meccanica 51, 3055–3065 (2016). https://doi.org/10.1007/s11012-016-0553-5

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11012-016-0553-5

Keywords

Search

Navigation