Interface-resolved direct numerical simulation of the erosion of a sediment bed sheared by laminar channel flow

International Journal of Multiphase Flow

Volumn 67, Issue , 2014, Pages 174-188

  Kidanemariam, Aman G ^a   Uhlmann, Markus ^a  

^a KARLSRUHE INSTITUTE OF TECHNOLOGY   (Germany)

Author keywords

Bedload transport; Direct numerical simulation; Discrete element model; Immersed boundary method; Interface resolution; Plane channel flow

Indexed keywords

BED-LOAD TRANSPORT; DISCRETE ELEMENT MODELING; IMMERSED BOUNDARY METHODS; LAMINAR CHANNEL FLOW; PLANE CHANNEL FLOW;

DIRECT NUMERICAL SIMULATION;

EID: 84907818796     PISSN: 03019322     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijmultiphaseflow.2014.08.008     Document Type: Article

References (45)

1. Aussillous P., Chauchat J., Pailha M., Médale M., Guazzelli E. Investigation of the mobile granular layer in bedload transport by laminar shearing flows. J. Fluid Mech. 2013, 736:594-615.
2. Boyer F., Guazzelli E., Pouliquen O. Unifying suspension and granular rheology. Phys. Rev. Lett. 2011, 107:188301.
3. Brändle de Motta J.C., Breugem W.P., Gazanion B., Estivalezes J.L., Vincent S., Climent E. Numerical modelling of finite-size particle collisions in a viscous fluid. Phys. Fluids 2013, 25:083302.
4. Chan-Braun C., García-Villalba M., Uhlmann M. Force and torque acting on particles in a transitionally rough open-channel flow. J. Fluid Mech. 2011, 684:441-474.
5. Charru F., Mouilleron-Arnould H. Instability of a bed of particles sheared by a viscous flow. J. Fluid Mech. 2002, 452:303-323.
6. Charru F., Mouilleron H., Eiff O. Erosion and deposition of particles on a bed sheared by a viscous flow. J. Fluid Mech. 2004, 519:55-80.
7. Charru F., Larrieu E., Dupont J.B., Zenit R. Motion of a particle near a rough wall in a viscous shear flow. J. Fluid Mech. 2007, 570:431.
8. Cleary P.W., Prakash M. Discrete-element modelling and smoothed particle hydrodynamics: potential in the environmental sciences. Philos. Trans. A. Math. Phys. Eng. Sci. 2004, 362:2003-2030.
9. Constantinides G., Tweedie C., Holbrook D., Barragan P., Smith J., Vliet K.V. Quantifying deformation and energy dissipation of polymeric surfaces under localized impact. Mat. Sci. Eng. A 2008, 489:403-412.
10. Crowe C., Sommerfeld M., Tsuji Y. Multiphase Flows with Droplets and Particles 1998, CRC Press.
11. Cundall P.A., Strack O.D.L. A discrete numerical model for granular assemblies. Géotechnique 1979, 29:47-65.
12. Foerster S.F., Louge M.Y., Chang H., Allia K. Measurements of the collision properties of small spheres. Phys. Fluids 1994, 6:1108.
13. Sedimentation Engineering: Processes, Measurements, Modeling, and Practice 2008, ASCE Publications. 110th ed. M.H. García (Ed.).
14. García-Villalba M., Kidanemariam A.G., Uhlmann M. DNS of vertical plane channel flow with finite-size particles: Voronoi analysis, acceleration statistics and particle-conditioned averaging. Int. J. Multiph. Flow 2012, 46:54-74.
15. Glowinski R., Pan R., Hesla T.I., Joseph D.D. A distributed Lagrange multiplier/fictitious domain method for particulate flows. Int. J. Multiph. Flow 1999, 25:755-794.
16. Gondret P., Lance M., Petit L. Bouncing motion of spherical particles in fluids. Phys. Fluids 2002, 14:643-652.
17. Heald J., McEwan I., Tait S. Sediment transport over a flat bed in a unidirectional flow: simulations and validation. Philos. Trans. A. Math. Phys. Eng. Sci. 2004, 362:1973-1986.
18. Joseph G.G., Hunt M.L. Oblique particle-wall collisions in a liquid. J. Fluid Mech. 2004, 510:71-93.
19. Joseph G.G., Zenit R., Hunt M.L., Rosenwinkel A.M. Particle-wall collisions in a viscous fluid. J. Fluid Mech. 2001, 433:329-346.
20. Kempe T., Fröhlich J. Collision modelling for the interface-resolved simulation of spherical particles in viscous fluids. J. Fluid Mech. 2012, 709:445-489.
21. Kidanemariam A.G., Chan-Braun C., Doychev T., Uhlmann M. Direct numerical simulation of horizontal open channel flow with finite-size, heavy particles at low solid volume fraction. New J. Phys. 2013, 15:025031.
22. Leighton D., Acrivos A. Viscous resuspension. Chem. Eng. Sci. 1986, 41:1377-1384.
23. Li X., Hunt M.L., Colonius T. A contact model for normal immersed collisions between a particle and a wall. J. Fluid Mech. 2011, 691:123-145.
24. Lobkovsky A.E., Orpe A.V., Molloy R., Kudrolli A., Rothman D.H. Erosion of a granular bed driven by laminar fluid flow. J. Fluid Mech. 2008, 605:47-58.
25. Loiseleux T., Gondret P., Rabaud M., Doppler D. Onset of erosion and avalanche for an inclined granular bed sheared by a continuous laminar flow. Phys. Fluids 2005, 17:103304.
26. Mouilleron H., Charru F., Eiff O. Inside the moving layer of a sheared granular bed. J. Fluid Mech. 2009, 628:229.
27. Nguyen N., Ladd A. Lubrication corrections for lattice-Boltzmann simulations of particle suspensions. Phys. Rev. E 2002, 66:046708.
28. Ouriemi M., Aussillous P., Medale M., Peysson Y., Guazzelli E. Determination of the critical Shields number for particle erosion in laminar flow. Phys. Fluids 2007, 19:061706.
29. Ouriemi M., Aussillous P., Guazzelli E. Sediment dynamics. Part 1. Bed-load transport by laminar shearing flows. J. Fluid Mech. 2009, 636:295-319.
30. Patankar N., Joseph D. Modeling and numerical simulation of particulate flows by theEulerian-Lagrangian approach. Int. J. Multiphase Flow 2001, 27:1659-1684.
31. Schmeeckle M.W., Nelson J.M. Direct numerical simulation of bedload transport using a local, dynamic boundary condition. Sedimentology 2003, 279-301.
32. Shields, A., 1936. Anwendung der Ähnlichkeitsmechanik und der Turbulenzforschung auf die Geschiebebewegung. Mitteilungen der Versuchanstalt für Wasserbau und Schiffbau. Technischen Hochschule Berlin.
33. Silbert L., Ertas D., Grest G., Halsey T., Levine D., Plimpton S. Granular flow down an inclined plane: Bagnold scaling and rheology. Phys. Rev. E 2001, 64:051302.
34. Simeonov J.A., Calantoni J. Modeling mechanical contact and lubrication in direct numerical simulations of colliding particles. Int. J. Multiph. Flow 2012, 46:38-53.
35. ten Cate A., Nieuwstad C.H., Derksen J.J., Van den Akker H.E.A. Particle imaging velocimetry experiments and lattice-Boltzmann simulations on a single sphere settling under gravity. Phys. Fluids 2002, 14:4012.
36. Tsuji Y., Kawaguchi T., Tanaka T. Discrete particle simulation of two-dimensional fluidized bed. Powder Technol. 1993, 77:79-87.
37. Uhlmann, M., 2004. New Results on the Simulation of Particulate Flows. Technical Report. CIEMAT. Madrid.
38. Uhlmann M. An immersed boundary method with direct forcing for the simulation of particulate flows. J. Comput. Phys. 2005, 209:448-476.
39. Uhlmann M. An improved fluid-solid coupling method for DNS of particulate flow on a fixed mesh. Proc. 11th Work. Two-Phase Flow Predict 2005, Universität Halle, Merseburg, Germany. M. Sommerfel (Ed.).
40. Uhlmann M. Experience with DNS of particulate flow using a variant of the immersed boundary method. Proc. ECCOMAS CFD 2006 2006, TU Delft, Egmond aan Zee, The Netherlands. P. Wesseling, E. Onate, J. Périaux (Eds.).
41. Uhlmann M. Interface-resolved direct numerical simulation of vertical particulate channel flow in the turbulent regime. Phys. Fluids 2008, 20:053305.
42. Uhlmann M., Dušek J. The motion of a single heavy sphere in ambient fluid: a benchmark for interface-resolved particulate flow simulations with significant relative velocities. Int. J. Multiphase Flow 2014, 59:221-243.
43. Wachs A. A DEM-DLM/FD method for direct numerical simulation of particulate flows: sedimentation of polygonal isometric particles in a Newtonian fluid with collisions. Comput. Fluids 2009, 38:1608-1628.
44. Yang F.L., Hunt M.L. Dynamics of particle-particle collisions in a viscous liquid. Phys. Fluids 2006, 18:121506.
45. Yang F.L., Hunt M.L. A mixed contact model for an immersed collision between two solid surfaces. Philos. Trans. A. Math. Phys. Eng. Sci. 2008, 366:2205-2218.