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Volumn 686, Issue , 2011, Pages 378-408

The granular column collapse as a continuum: Validity of a two-dimensional Navier-Stokes model with a Î(I)-rheology

Author keywords

granular media; Navier Stokes equations; non Newtonian flows

Indexed keywords

ASPECT RATIO; DRAG; ELASTICITY; GRANULAR MATERIALS; NEWTONIAN LIQUIDS; NON NEWTONIAN FLOW;

EID: 84855507900     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/jfm.2011.335     Document Type: Article
Times cited : (336)

References (63)
  • 1
    • 0001164431 scopus 로고    scopus 로고
    • A theoretical framework for granular suspensions in a steady simple shear flow
    • ANCEY, C, COUSSOT, P. & EVESQUE, P. 1999 A theoretical framework for granular suspensions in a steady simple shear flow. J. Rheol 43, 1673-1699.
    • (1999) J. Rheol , vol.43 , pp. 1673-1699
    • Ancey, C.1    Coussot, P.2    Evesque, P.3
  • 2
    • 0035420259 scopus 로고    scopus 로고
    • Continuum description of avalanches in granular media
    • ARANSON, I. S. & TSIMRING, L. S. 2001 Continuum description of avalanches in granular media. Phys. Rev. E 64, 020301.
    • (2001) Phys. Rev. e , vol.64 , pp. 020301
    • Aranson, I.S.1    Tsimring, L.S.2
  • 3
    • 0002902651 scopus 로고
    • Experiments of gravity-free dispersion of large solid spheres in a Newtonian fluid under shear
    • BAGNOLD, R. G. 1954 Experiments of gravity-free dispersion of large solid spheres in a Newtonian fluid under shear. Proc. R. Soc. Lond. A 255, 49.
    • (1954) Proc. R. Soc. Lond. A , vol.255 , pp. 49
    • Bagnold, R.G.1
  • 4
    • 79251571799 scopus 로고    scopus 로고
    • Instability growth rate of two-phase mixing layers from a linear eigenvalue problem and an initial value problem
    • BAGUE, A., FUSTER, D., POPINET, S., SCARDOVELLI, R. & ZALESKI, S. 2010 Instability growth rate of two-phase mixing layers from a linear eigenvalue problem and an initial value problem. Phys. Fluids 22, 092104.
    • (2010) Phys. Fluids , vol.22 , pp. 092104
    • Bague, A.1    Fuster, D.2    Popinet, S.3    Scardovelli, R.4    Zaleski, S.5
  • 5
    • 24944487884 scopus 로고    scopus 로고
    • Granular collapse in two dimensions
    • DOI 10.1017/S0022112005005537
    • BALMFORTH, N. J. & KERSWELL, R. R. 2005 Granular collapse in two dimensions. J. Fluid Mech. 538, 399-428. (Pubitemid 41320360)
    • (2005) Journal of Fluid Mechanics , vol.538 , pp. 399-428
    • Balmforth, N.J.1    Kerswell, R.R.2
  • 6
    • 0001608079 scopus 로고    scopus 로고
    • A second-order projection method for the incompressible Navier-Stokes equations
    • BELL, J. B., COLELLA, P. & GLAZ, H. M. A second-order projection method for the incompressible Navier-Stokes equations. J. Comput. Phys. 85, 257-283.
    • J. Comput. Phys. , vol.85 , pp. 257-283
    • Bell, J.B.1    Colella, P.2    Glaz, H.M.3
  • 8
    • 33645727518 scopus 로고    scopus 로고
    • Submarine granular flows down inclined planes
    • CASSAR, C, NICOLAS, M. & POULIQUEN, O. 2005 Submarine granular flows down inclined planes. Phys. Fluids 17, 103301.
    • (2005) Phys. Fluids , vol.17 , pp. 103301
    • Cassar, C.1    Nicolas, M.2    Pouliquen, O.3
  • 10
    • 73449147641 scopus 로고    scopus 로고
    • A three-dimensional numerical model for incompresible two-phase flow of a granular bed submitted to a laminar shearing flow
    • CHAUCHAT, J. & MEDALE, M. 2010 A three-dimensional numerical model for incompresible two-phase flow of a granular bed submitted to a laminar shearing flow. Comput. Meth. Appl. Mech. Engng 199, 439-449.
    • (2010) Comput. Meth. Appl. Mech. Engng , vol.199 , pp. 439-449
    • Chauchat, J.1    Medale, M.2
  • 11
    • 0037328031 scopus 로고    scopus 로고
    • Wall effects on granular heap stability
    • DOI 10.1209/epl/i2003-00156-5
    • COURRECH DU PONT, S., GONDRET, P., PERRIN, B. & RABAUD, M. 2003 Wall effects on granular heap stability. Europhys. Lett. 61 (4), 492-498. (Pubitemid 36256491)
    • (2003) Europhysics Letters , vol.61 , Issue.4 , pp. 492-498
    • Du Pont, S.C.1    Gondret, P.2    Perrin, B.3    Rabaud, M.4
  • 12
    • 77954340407 scopus 로고    scopus 로고
    • Numerical modelling of 2-D granular step collapse on erodible and nonerodible surface
    • CROSTA, G. B., IMPOSIMATO, S. & RODDEMAN, D. 2009 Numerical modelling of 2-D granular step collapse on erodible and nonerodible surface. J. Geophys. Res. 114, F03020.
    • (2009) J. Geophys. Res. , vol.114
    • Crosta, G.B.1    Imposimato, S.2    Roddeman, D.3
  • 14
    • 27244449322 scopus 로고    scopus 로고
    • Rheophysics of dense granular materials: Discrete simulation of plane shear flows
    • DA CRUZ, E, EMAM, S., PROCHNOW, M., ROUX, J.-N. & CHEVOIR, F. 2005 Rheophysics of dense granular materials: discrete simulation of plane shear flows. Phys. Rev. E 72, 021309.
    • (2005) Phys. Rev. e , vol.72 , pp. 021309
    • Cruz, E.D.A.1    Emam, S.2    Prochnow, M.3    Roux, J.-N.4    Chevoir, F.5
  • 15
    • 0033169330 scopus 로고    scopus 로고
    • Sensitivity of granular surface flows to preparation
    • DAERR, A. & DOUADY, S. 1999 Sensitivity of granular surface flows to preparation. Europhys. Lett. 47 (3), 324-330.
    • (1999) Europhys. Lett. , vol.47 , Issue.3 , pp. 324-330
    • Daerr, A.1    Douady, S.2
  • 16
    • 77957344549 scopus 로고    scopus 로고
    • Runout of the Socompa volcanic debris avalanche Chile: A mechanical explanation for low basal shear resistance
    • DAVIES, T., MCSAVENEY, M. & KELFOUN, K. 2010 Runout of the Socompa volcanic debris avalanche, Chile: A mechanical explanation for low basal shear resistance. Bull. Volcanol. 72 (8), 933-944.
    • (2010) Bull. Volcanol. , vol.72 , Issue.8 , pp. 933-944
    • Davies, T.1    McSaveney, M.2    Kelfoun, K.3
  • 17
    • 35748970197 scopus 로고    scopus 로고
    • Static and flowing regions in granular collapses down channels: Insights from a sedimenting shallow water model
    • DOYLE, E. E., HUPPERT, H. E., LUBE, G., MADER, H. M. & SPARKS, R. S. J. 2007 Static and flowing regions in granular collapses down channels: insights from a sedimenting shallow water model. Phys. Fluids 19, 106601.
    • (2007) Phys. Fluids , vol.19 , pp. 106601
    • Doyle, E.E.1    Huppert, H.E.2    Lube, G.3    Mader, H.M.4    Sparks, R.S.J.5
  • 19
  • 21
    • 11344275967 scopus 로고    scopus 로고
    • On dense granular flows
    • GDR MIDI, 2004 On dense granular flows. Eur. Phys. J. E 14, 341-365.
    • (2004) Eur. Phys. J. e , vol.14 , pp. 341-365
    • Midi, G.1
  • 22
    • 34547304843 scopus 로고    scopus 로고
    • Power-law friction in closely packed granular materials
    • HATANO, T. J. 2007 Power-law friction in closely packed granular materials. Phys. Rev. E 75, 060301.
    • (2007) Phys. Rev. e , vol.75 , pp. 060301
    • Hatano, T.J.1
  • 23
    • 34848832912 scopus 로고    scopus 로고
    • Two-dimensional granular slumps down slopes
    • HOGG, A. J. 2007 Two-dimensional granular slumps down slopes. Phys. Fluids 19, 093301.
    • (2007) Phys. Fluids , vol.19 , pp. 093301
    • Hogg, A.J.1
  • 24
    • 0020751294 scopus 로고
    • Theory for the rapid flow of identical, smooth, nearly elastic, spherical particles
    • JENKINS, J. T. & SAVAGE, S. B. 1983 A theory for the rapid flow of identical, smooth, nearly elastic, spherical particles. J. Fluid Mech. 130, 187-202. (Pubitemid 13592661)
    • (1983) Journal of Fluid Mechanics , vol.130 , pp. 187-202
    • Jenkins, J.T.1    Savage, S.B.2
  • 25
    • 27744551809 scopus 로고    scopus 로고
    • Crucial role of sidewalls in granular surface flows: Consequences for the rheology
    • DOI 10.1017/S0022112005005987, PII S0022112005005987
    • JOP, P., FORTERRE, Y. & POULIQUEN, O. 2005 Crucial role of sidewalls in granular surface flows: consequences for the rheology. J. Fluid Mech. 541, 167-192. (Pubitemid 41581900)
    • (2005) Journal of Fluid Mechanics , vol.541 , pp. 167-192
    • Jop, P.1    Forterre, Y.2    Pouliquen, O.3
  • 26
    • 33744986031 scopus 로고    scopus 로고
    • A rheology for dense granular flows
    • JOP, P., FORTERRE, Y. & POULIQUEN, O. 2006 A rheology for dense granular flows. Nature 441, 727-730.
    • (2006) Nature , vol.441 , pp. 727-730
    • Jop, P.1    Forterre, Y.2    Pouliquen, O.3
  • 27
    • 18044381271 scopus 로고    scopus 로고
    • Stationary shear flows of dense granular materials: A tentative continuum modelling
    • JOSSERAND, C., LAGRÉE, P.-Y. & LHUILLIER, D. 2004 Stationary shear flows of dense granular materials: A tentative continuum modelling. Eur. Phys. J. E 14, 127.
    • (2004) Eur. Phys. J. E. , vol.14 , pp. 127
    • Josserand, C.1    Lagrée, P.-Y.2    Lhuillier, D.3
  • 28
    • 31944447313 scopus 로고    scopus 로고
    • Granular pressure and the thickness of a layer jamming on a rough incline
    • DOI 10.1209/epl/i2005-10398-1
    • JOSSERAND, C., LAGRÉE, P.-Y. & LHUILLIER, D. 2006 Granular pressure and the thickness of a layer jamming on a rough incline. Europhys. Lett. 73 (3), 363-369. (Pubitemid 43188499)
    • (2006) Europhysics Letters , vol.73 , Issue.3 , pp. 363-369
    • Josserand, C.1    Lagree, P.-Y.2    Lhuillier, D.3
  • 30
    • 70350371273 scopus 로고    scopus 로고
    • Testing the suitability of frictional behaviour for pyroclastic flow simulation by comparison with a well-constrained eruption at Tungurahua volcano (Ecuador)
    • KELFOUN, K., SAMANIEGO, P., PALACIOS, P. & BARBA, D. 2009 Testing the suitability of frictional behaviour for pyroclastic flow simulation by comparison with a well-constrained eruption at Tungurahua volcano (Ecuador). Bull. Volcanol. 71 (9), 1057-1075.
    • (2009) Bull. Volcanol. , vol.71 , Issue.9 , pp. 1057-1075
    • Kelfoun, K.1    Samaniego, P.2    Palacios, P.3    Barba, D.4
  • 31
    • 20444373372 scopus 로고    scopus 로고
    • Dam break with Coulomb friction: A model for granular slumping?
    • KERSWELL, R. R. 2005 Dam break with Coulomb friction: A model for granular slumping? Phys. Fluids 17, 057101.
    • (2005) Phys Fluids , vol.17 , pp. 057101
    • Kerswell, R.R.1
  • 32
    • 63649161008 scopus 로고    scopus 로고
    • Axisymmetric granular collapse: A transient three-dimensional flow test of viscoplasticity
    • LACAZE, L. & KERSWELL, R. R. 2009 Axisymmetric granular collapse: A transient three-dimensional flow test of viscoplasticity. Phys. Rev. Lett. 102, 108305.
    • (2009) Phys. Rev. Lett. , vol.102 , pp. 108305
    • Lacaze, L.1    Kerswell, R.R.2
  • 33
    • 47149116473 scopus 로고    scopus 로고
    • Planar collapse of a granular column: Experiments and discrete element simulations
    • LACAZE, L., PHILLIPS, J. C. & KERSWELL, R. R. 2008 Planar collapse of a granular column: experiments and discrete element simulations. Phys. Fluids 20, 063302.
    • (2008) Phys. Fluids , vol.20 , pp. 063302
    • Lacaze, L.1    Phillips, J.C.2    Kerswell, R.R.3
  • 35
    • 3242717628 scopus 로고    scopus 로고
    • Spreading of a granular mass on a horizontal plane
    • DOI 10.1063/1.1736611
    • LAJEUNESSE, E., MANGENEY-CASTELNEAU, A. & VILOTTE, J.-P. 2004 Spreading of a granular mass on an horizontal plane. Phys. Fluids 16, 2371-2381. (Pubitemid 38958011)
    • (2004) Physics of Fluids , vol.16 , Issue.7 , pp. 2371-2381
    • Lajeunesse, E.1    Mangeney-Castelnau, A.2    Vilotte, J.P.3
  • 36
    • 24944512876 scopus 로고    scopus 로고
    • Granular slumping on a horizontal surface
    • LAJEUNESSE, E., MONNIER, J. B. & HOMSY, G. M. 2005 Granular slumping on a horizontal surface. Phys. Fluids 17, 103302.
    • (2005) Phys. Fluids , vol.17 , pp. 103302
    • Lajeunesse, E.1    Monnier, J.B.2    Homsy, G.M.3
  • 38
    • 30744445919 scopus 로고    scopus 로고
    • Raining into shallow water as a description of the collapse of a column of grains
    • LARRIEU, E., STARON, L. & HINCH, E. J. 2006 Raining into shallow water as a description of the collapse of a column of grains. J. Fluid Mech. 554, 259-270.
    • (2006) J. Fluid Mech. , vol.554 , pp. 259-270
    • Larrieu, E.1    Staron, L.2    Hinch, E.J.3
  • 43
    • 0033558390 scopus 로고    scopus 로고
    • Model for a stationnary dense granular flow along an inclined wall
    • MILLS, P., LOGGIA, D. & TIXIER, M. 1999 Model for a stationnary dense granular flow along an inclined wall. Europhys. Lett. 45 (6), 733-738.
    • (1999) Europhys. Lett. , vol.45 , Issue.6 , pp. 733-738
    • Mills, P.1    Loggia, D.2    Tixier, M.3
  • 44
    • 0002226904 scopus 로고
    • Some numerical methods in multibody dynamics: Application to granular materials
    • MOREAU, J.-J. 1994 Some numerical methods in multibody dynamics: application to granular materials. Eur. J. Mech. A 4, 93-114.
    • (1994) Eur. J. Mech. A , vol.4 , pp. 93-114
    • Moreau, J.-J.1
  • 46
    • 69649098626 scopus 로고    scopus 로고
    • A two-phase flow description of the initiation of underwater granular avalanches
    • PAILHA, M. & POULIQUEN, O. 2009 A two-phase flow description of the initiation of underwater granular avalanches. J. Fluid Mech. 633, 115-135.
    • (2009) J. Fluid Mech. , vol.633 , pp. 115-135
    • Pailha, M.1    Pouliquen, O.2
  • 47
    • 0036510343 scopus 로고    scopus 로고
    • Recent progress in the moving contact line problem: A review
    • DOI 10.1016/S1631-0721(02)01445-6
    • POMEAU, Y. 2002 Recent progress in the moving contact line problem: A review. C. R. Acad. Sci. Paris 330, 207-222. (Pubitemid 34967022)
    • (2002) Comptes Rendus - Mecanique , vol.330 , Issue.3 , pp. 207-222
    • Pomeau, Y.1
  • 48
    • 0141515637 scopus 로고    scopus 로고
    • Gerris: A tree-based adaptive solver for the incompressible Euler equations in complex geometries
    • DOI 10.1016/S0021-9991(03)00298-5
    • POPINET, S. 2003 Gerris: A tree-based adaptive solver for the incompressible Euler equations in complex geometries. J. Comput. Phys. 190 (2), 572-600. (Pubitemid 37141667)
    • (2003) Journal of Computational Physics , vol.190 , Issue.2 , pp. 572-600
    • Popinet, S.1
  • 50
    • 67649472402 scopus 로고    scopus 로고
    • An accurate adaptive solver for surface-tension-driven interfacial flows
    • POPINET, S. 2009 An accurate adaptive solver for surface-tension-driven interfacial flows. J. Comput. Phys. 228, 5838-5866.
    • (2009) J. Comput. Phys. , vol.228 , pp. 5838-5866
    • Popinet, S.1
  • 52
    • 0032608186 scopus 로고    scopus 로고
    • On the shape of granular fronts down rough inclined planes
    • POULIQUEN, O. 1999 On the shape of granular fronts down rough inclined planes. Phys. Fluids 11 (7), 1956-1958. (Pubitemid 129310773)
    • (1999) Physics of Fluids , vol.11 , Issue.7 , pp. 1956-1958
    • Pouliquen, O.1
  • 53
    • 73249153584 scopus 로고    scopus 로고
    • A non-local rheology for dense granular flows
    • POULIQUEN, O. & FORTERRE, Y. 2009 A non-local rheology for dense granular flows. Phil. Trans. R. Soc. A 367, 5091-5107.
    • (2009) Phil. Trans. R. Soc. A , vol.367 , pp. 5091-5107
    • Pouliquen, O.1    Forterre, Y.2
  • 54
    • 0037170488 scopus 로고    scopus 로고
    • Friction law for dense granular flows: Application to the motion of a mass down a rough inclined plane
    • POULIQUEN, O. & FORTERRE, Y. 2002 Friction law for dense granular flows: application to the motion of a mass down a rough inclined plane. J. Fluid Mech. 453, 133-151.
    • (2002) J. Fluid Mech. , vol.453 , pp. 133-151
    • Pouliquen, O.1    Forterre, Y.2
  • 55
    • 79960924253 scopus 로고    scopus 로고
    • Granular collapse in a fluid: Role of the initial volume fraction
    • RONDON, L., POULIQUEN, O. & AUSSILLOUS, P. 2011 Granular collapse in a fluid: role of the initial volume fraction. Phys. Fluids 23, 073301.
    • (2011) Phys. Fluids , vol.23 , pp. 073301
    • Rondon, L.1    Pouliquen, O.2    Aussillous, P.3
  • 56
    • 0018465996 scopus 로고
    • Gravity flow of cohesionless granular materials in chutes and channels
    • SAVAGE, S. B. 1979 Gravity flow of cohesionless granular materials in chutes and channels. J. Fluid Mech. 92, 53-96.
    • (1979) J. Fluid Mech. , vol.92 , pp. 53-96
    • Savage, S.B.1
  • 57
    • 0024611991 scopus 로고
    • The motion of a finite mass of granular material down a rough incline
    • SAVAGE, S. & HUTTER, K. 1989 The motion of a finite mass of granular material down a rough incline. J. Fluid Mech. 199, 177-215.
    • (1989) J. Fluid Mech. , vol.199 , pp. 177-215
    • Savage, S.1    Hutter, K.2
  • 59
    • 30744479199 scopus 로고    scopus 로고
    • Study of the collapse of granular columns using two-dimensional discrete-grain simulation
    • DOI 10.1017/S0022112005006415, PII S0022112005006415
    • STARON, L. & HINCH, E. J. 2005 Study of the collapse of granular columns using two-dimensional discrete-grain simulation. J. Fluid Mech. 545, 1-27. (Pubitemid 43091233)
    • (2005) Journal of Fluid Mechanics , vol.545 , pp. 1-27
    • Staron, L.1    Hinch, E.J.2
  • 60
    • 34249078546 scopus 로고    scopus 로고
    • The spreading of a granular mass: Role of grain properties and initial conditions
    • DOI 10.1007/s10035-006-0033-z
    • STARON, L. & HINCH, E. J. 2007 The spreading of a granular mass: role of grain properties and initial conditions. Granular Matter 9, 205-217. (Pubitemid 46781195)
    • (2007) Granular Matter , vol.9 , Issue.3-4 , pp. 205-217
    • Staron, L.1    Hinch, E.J.2
  • 61
    • 79251581314 scopus 로고    scopus 로고
    • Flow and jamming of two-dimensional granular bed: Towards a non-local rheology? Phys
    • STARON, L., LAGRÉE, P.-Y., JOSSERAND, C. & LHUILLIER, D. 2010 Flow and jamming of two-dimensional granular bed: towards a non-local rheology? Phys. Fluids 22, 113303.
    • (2010) Fluids , vol.22 , pp. 113303
    • Staron, L.1    Lagrée, P.-Y.2    Josserand, C.3    Lhuillier, D.4
  • 62
    • 8744315544 scopus 로고    scopus 로고
    • On a numerical strategy to compute gravity currents of non-Newtonian fluids
    • DOI 10.1016/j.jcp.2004.05.019, PII S0021999104002359
    • VOLA, D., BABIK, F. & LATCHÉ, J.-C. 2004 On a numerical strategy to compute gravity currents of non-Newtonian fluids. J. Comput. Phys. 201 (2), 397-420. (Pubitemid 39518791)
    • (2004) Journal of Computational Physics , vol.201 , Issue.2 , pp. 397-420
    • Vola, D.1    Babik, F.2    Latche, J.-C.3
  • 63
    • 15844406182 scopus 로고    scopus 로고
    • Computer simulations of the collapse of a granular column
    • ZENIT, R. 2005 Computer simulations of the collapse of a granular column. Phys. Fluids 17, 031703.
    • (2005) Phys. Fluids , vol.17 , pp. 031703
    • Zenit, R.1


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