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Volumn 219, Issue , 2015, Pages 1-18

Viscoplastic modeling of granular column collapse with pressure-dependent rheology

Author keywords

Augmented Lagrangian; Drucker Prager plasticity; Granular collapse; Variable viscosity; Viscoplastic rheology; Yield stress

Indexed keywords

CONSTRAINED OPTIMIZATION; DEPOSITS; ELASTICITY; FINITE ELEMENT METHOD; ITERATIVE METHODS; LAGRANGE MULTIPLIERS; OPTIMIZATION; PLASTICITY; STRAIN RATE; VISCOSITY;

EID: 84925158455     PISSN: 03770257     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jnnfm.2015.02.006     Document Type: Article
Times cited : (136)

References (60)
  • 1
    • 84873691938 scopus 로고    scopus 로고
    • Shallow granular flows down flat frictional channels: steady flows and longitudinal vortices
    • Brodu N., Richard P., Delannay R. Shallow granular flows down flat frictional channels: steady flows and longitudinal vortices. Phys. Rev. E 2013, 87:022202. 10.1103/PhysRevE.87.022202.
    • (2013) Phys. Rev. E , vol.87 , pp. 022202
    • Brodu, N.1    Richard, P.2    Delannay, R.3
  • 3
    • 11344275967 scopus 로고    scopus 로고
    • On dense granular flows
    • GDR MiDi group On dense granular flows. Eur. Phys. J. 2004, E14:341-365.
    • (2004) Eur. Phys. J. , vol.E14 , pp. 341-365
  • 4
    • 33847106785 scopus 로고    scopus 로고
    • Plasticity and geophysical flows: a review
    • Ancey C. Plasticity and geophysical flows: a review. J. Non-Newton. Fluid Mech. 2007, 142:4-35.
    • (2007) J. Non-Newton. Fluid Mech. , vol.142 , pp. 4-35
    • Ancey, C.1
  • 5
    • 84872839355 scopus 로고    scopus 로고
    • Les milieux granulaires, entre fluide et solide, Savoirs Actuels
    • Andreotti B., Forterre Y., Pouliquen O. Les milieux granulaires, entre fluide et solide, Savoirs Actuels. EDP Sci. 2011.
    • (2011) EDP Sci.
    • Andreotti, B.1    Forterre, Y.2    Pouliquen, O.3
  • 8
    • 24944512876 scopus 로고    scopus 로고
    • Spreading of a granular mass on a horizontal plane
    • Lajeunesse E., Monnier J.B., Homsy G.M. Spreading of a granular mass on a horizontal plane. Phys. Fluids 2005, 17:103302.
    • (2005) Phys. Fluids , vol.17 , pp. 103302
    • Lajeunesse, E.1    Monnier, J.B.2    Homsy, G.M.3
  • 10
    • 34248207650 scopus 로고    scopus 로고
    • Static and flowing regions in granular collapses down channels
    • Lube G., Huppert H.E., Sparks R.S., Freundt A. Static and flowing regions in granular collapses down channels. Phys. Fluids 2007, 19:043301.
    • (2007) Phys. Fluids , vol.19 , pp. 043301
    • Lube, G.1    Huppert, H.E.2    Sparks, R.S.3    Freundt, A.4
  • 11
    • 85027958000 scopus 로고    scopus 로고
    • Granular column collapses down rough, inclined channels
    • Lube G., Huppert H.E., Sparks R., Freundt A. Granular column collapses down rough, inclined channels. J. Fluid Mech. 2011, 675:347-368.
    • (2011) J. Fluid Mech. , vol.675 , pp. 347-368
    • Lube, G.1    Huppert, H.E.2    Sparks, R.3    Freundt, A.4
  • 12
  • 13
    • 24944590228 scopus 로고    scopus 로고
    • Failure of a granular step
    • Siavoshi S., Kudrolli A. Failure of a granular step. Phys. Rev. E 2005, 71:051302.
    • (2005) Phys. Rev. E , vol.71 , pp. 051302
    • Siavoshi, S.1    Kudrolli, A.2
  • 14
    • 47149116473 scopus 로고    scopus 로고
    • Planar collapse of a granular column: experiments and discrete-element simulations
    • Lacaze L., Phillips J., Kerswell R.R. Planar collapse of a granular column: experiments and discrete-element simulations. Phys. Fluids 2008, 20:063302.
    • (2008) Phys. Fluids , vol.20 , pp. 063302
    • Lacaze, L.1    Phillips, J.2    Kerswell, R.R.3
  • 15
    • 34848832912 scopus 로고    scopus 로고
    • Two dimensional granular slumps down slopes
    • Hogg A.J. Two dimensional granular slumps down slopes. Phys. Fluids 2008, 19:093301.
    • (2008) Phys. Fluids , vol.19 , pp. 093301
    • Hogg, A.J.1
  • 16
    • 84895821596 scopus 로고    scopus 로고
    • Fundamental changes of granular flow dynamics, deposition, and erosion processes at high slope angles: insights from laboratory experiments
    • Farin M., Mangeney A., Roche O. Fundamental changes of granular flow dynamics, deposition, and erosion processes at high slope angles: insights from laboratory experiments. J. Geophys. Res. Earth Surf. 2014, 119:504-532.
    • (2014) J. Geophys. Res. Earth Surf. , vol.119 , pp. 504-532
    • Farin, M.1    Mangeney, A.2    Roche, O.3
  • 17
    • 77954340407 scopus 로고    scopus 로고
    • Numerical modeling of 2-D granular step collapse on erodible and non-erodible surface
    • Crosta G.B., Imposimato S., Roddeman D. Numerical modeling of 2-D granular step collapse on erodible and non-erodible surface. J. Geophys. Res. 2009, 114:F03020. 10.1029/2008JF001186.
    • (2009) J. Geophys. Res. , vol.114 , pp. F03020
    • Crosta, G.B.1    Imposimato, S.2    Roddeman, D.3
  • 19
    • 20444373372 scopus 로고    scopus 로고
    • Dam break with coulomb friction: a model for granular slumping
    • Kerswell R.R. Dam break with coulomb friction: a model for granular slumping. Phys. Fluids 2005, 17:057101.
    • (2005) Phys. Fluids , vol.17 , pp. 057101
    • Kerswell, R.R.1
  • 20
    • 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. Raining into shallow water as a description of the collapse of a column of grains. J. Fluid Mech. 2006, 554:259.
    • (2006) J. Fluid Mech. , vol.554 , pp. 259
    • Larrieu, E.1    Staron, L.2    Hinch, E.J.3
  • 21
    • 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. Static and flowing regions in granular collapses down channels: Insights from a sedimenting shallow water model. Phys. Fluids 2007, 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
  • 22
    • 30744479199 scopus 로고    scopus 로고
    • Study of the collapse of granular columns using 2D discrete-grains simulation
    • Staron L., Hinch E.J. Study of the collapse of granular columns using 2D discrete-grains simulation. J. Fluid Mech. 2005, 545:1.
    • (2005) J. Fluid Mech. , vol.545 , pp. 1
    • Staron, L.1    Hinch, E.J.2
  • 23
    • 15844406182 scopus 로고    scopus 로고
    • Computer simulations of the collapse of a granular column
    • Zenit R. Computer simulations of the collapse of a granular column. Phys. Fluids 2005, 17:031703.
    • (2005) Phys. Fluids , vol.17 , pp. 031703
    • Zenit, R.1
  • 24
    • 84860518578 scopus 로고    scopus 로고
    • A three-dimensional discrete-grain model for the simulation of dam-break rectangular collapses: comparison between numerical results and experiments
    • Girolami L., Hergault V., Vinay G., Wachs A. A three-dimensional discrete-grain model for the simulation of dam-break rectangular collapses: comparison between numerical results and experiments. Granul. Matter 2012, 14:381-392.
    • (2012) Granul. Matter , vol.14 , pp. 381-392
    • Girolami, L.1    Hergault, V.2    Vinay, G.3    Wachs, A.4
  • 25
    • 63649161008 scopus 로고    scopus 로고
    • Axisymmetric granular collapse: a transient 3D flow test of viscoplasticity
    • Lacaze L., Kerswell R.R. Axisymmetric granular collapse: a transient 3D flow test of viscoplasticity. Phys. Rev. Lett. 2009, 102:108305.
    • (2009) Phys. Rev. Lett. , vol.102 , pp. 108305
    • Lacaze, L.1    Kerswell, R.R.2
  • 26
    • 77952366697 scopus 로고    scopus 로고
    • On the role of the ambient fluid on gravitational granular flow dynamics
    • Meruane C., Tamburrino A., Roche O. On the role of the ambient fluid on gravitational granular flow dynamics. J. Fluid Mech. 2010, 648:381.
    • (2010) J. Fluid Mech. , vol.648 , pp. 381
    • Meruane, C.1    Tamburrino, A.2    Roche, O.3
  • 27
    • 84855507900 scopus 로고    scopus 로고
    • The granular column collapse as a continuum: validity of a two-dimensional Navier-Stokes model with a μ(I)-rheology
    • Lagrée P.-Y., Staron L., Popinet S. The granular column collapse as a continuum: validity of a two-dimensional Navier-Stokes model with a μ(I)-rheology. J. Fluid Mech. 2011, 686:378-408.
    • (2011) J. Fluid Mech. , vol.686 , pp. 378-408
    • Lagrée, P.-Y.1    Staron, L.2    Popinet, S.3
  • 28
    • 84872941198 scopus 로고    scopus 로고
    • Viscoplastic shallow flow equations with topography
    • Ionescu I.R. Viscoplastic shallow flow equations with topography. J. Non-Newton. Fluid Mech. 2013, 193:116-128.
    • (2013) J. Non-Newton. Fluid Mech. , vol.193 , pp. 116-128
    • Ionescu, I.R.1
  • 29
    • 0035510430 scopus 로고    scopus 로고
    • Granular flow down an inclined plane: Bagnold scaling and rheology
    • Silbert L.E., et al. Granular flow down an inclined plane: Bagnold scaling and rheology. Phys. Rev. E 2001, 64:051302.
    • (2001) Phys. Rev. E , vol.64 , pp. 051302
    • Silbert, L.E.1
  • 30
    • 27744551809 scopus 로고    scopus 로고
    • Crucial role of sidewalls in dense granular flows: consequences for the rheology
    • Jop P., Forterre Y., Pouliquen O. Crucial role of sidewalls in dense granular flows: consequences for the rheology. J. Fluid Mech. 2005, 541:167-192.
    • (2005) J. Fluid Mech. , vol.541 , pp. 167-192
    • Jop, P.1    Forterre, Y.2    Pouliquen, O.3
  • 31
    • 33744986031 scopus 로고    scopus 로고
    • A constitutive law for dense granular flows
    • Jop P., Forterre Y., Pouliquen O. A constitutive law for dense granular flows. Nature 2006, 441:727-730.
    • (2006) Nature , vol.441 , pp. 727-730
    • Jop, P.1    Forterre, Y.2    Pouliquen, O.3
  • 32
    • 33646846471 scopus 로고    scopus 로고
    • Compressible rigid visco-plastic fluids
    • Cazacu O., Ionescu I.R. Compressible rigid visco-plastic fluids. J. Mech. Phys. Solids 2006, 54:1640-1667.
    • (2006) J. Mech. Phys. Solids , vol.54 , pp. 1640-1667
    • Cazacu, O.1    Ionescu, I.R.2
  • 33
    • 84755160892 scopus 로고    scopus 로고
    • Onset and dynamic shallow flow of a viscoplastic fluid on a plane slope
    • Ionescu I.R. Onset and dynamic shallow flow of a viscoplastic fluid on a plane slope. J. Non-Newton. Fluid Mech. 2010, 165(19-20):1328-1341.
    • (2010) J. Non-Newton. Fluid Mech. , vol.165 , Issue.19-20 , pp. 1328-1341
    • Ionescu, I.R.1
  • 34
    • 33645016262 scopus 로고
    • Fundamental problems in viscoplasticity
    • Academic Press, H.L. Dryden (Ed.)
    • Perzyna P. Fundamental problems in viscoplasticity. Advances In Applied Mechanics 1966, 9:243-377. Academic Press. H.L. Dryden (Ed.).
    • (1966) Advances In Applied Mechanics , vol.9 , pp. 243-377
    • Perzyna, P.1
  • 36
    • 0000428440 scopus 로고
    • Soil mechanics nd plastic analysis of limit design
    • Drucker D.C., Prager W. Soil mechanics nd plastic analysis of limit design. Quart. Appl. Math. 1952, 10:157-175.
    • (1952) Quart. Appl. Math. , vol.10 , pp. 157-175
    • Drucker, D.C.1    Prager, W.2
  • 37
    • 0021295449 scopus 로고
    • The mechanics of rapid granular flows
    • Savage S.B. The mechanics of rapid granular flows. Adv. Appl. Mech. 1984, 24:289-366.
    • (1984) Adv. Appl. Mech. , vol.24 , pp. 289-366
    • Savage, S.B.1
  • 38
    • 0001164431 scopus 로고    scopus 로고
    • A theoretical framework for very concentrated granular suspensions in steady simple shear flow
    • Ancey C., Coussot P., Evesque P. A theoretical framework for very concentrated granular suspensions in steady simple shear flow. J. Rheol. 1999, 43:1673-1699.
    • (1999) J. Rheol. , vol.43 , pp. 1673-1699
    • Ancey, C.1    Coussot, P.2    Evesque, P.3
  • 39
    • 0037170488 scopus 로고    scopus 로고
    • Friction law for dense granular flows: applications to the motion of a mass down a rough inclined plane
    • Pouliquen O., Forterre Y. Friction law for dense granular flows: applications to the motion of a mass down a rough inclined plane. J. Fluid Mech. 2002, 453:133-151.
    • (2002) J. Fluid Mech. , vol.453 , pp. 133-151
    • Pouliquen, O.1    Forterre, Y.2
  • 41
    • 84901729301 scopus 로고    scopus 로고
    • Convergence of conforming approximations for inviscid incompressible Bingham fluid flows and related problems
    • Bouchut F., Eymard R., Prignet A. Convergence of conforming approximations for inviscid incompressible Bingham fluid flows and related problems. J. Evol. Eq. 2014, 14:635-669.
    • (2014) J. Evol. Eq. , vol.14 , pp. 635-669
    • Bouchut, F.1    Eymard, R.2    Prignet, A.3
  • 43
    • 84877994136 scopus 로고    scopus 로고
    • New development in freefem++
    • Hecht F. New development in freefem++. J. Numer. Math. 2012, 20:251-265.
    • (2012) J. Numer. Math. , vol.20 , pp. 251-265
    • Hecht, F.1
  • 44
    • 85066716651 scopus 로고    scopus 로고
    • Martin Rentschler, PhD, 2009.
    • (2009)
  • 45
    • 33749234564 scopus 로고    scopus 로고
    • Two dimensional fall of granular columns controlled by slow horizontal withdrawal of a retaining wall
    • Meriaux C. Two dimensional fall of granular columns controlled by slow horizontal withdrawal of a retaining wall. Phys. Fluids 2006, 18:093301.
    • (2006) Phys. Fluids , vol.18 , pp. 093301
    • Meriaux, C.1
  • 46
    • 0035919575 scopus 로고    scopus 로고
    • An adaptive finite element method for viscoplastic fluid flows in pipes
    • Saramito P., Roquet N. An adaptive finite element method for viscoplastic fluid flows in pipes. Comput. Methods Appl. Mech. Eng. 2001, 190:5391-5412.
    • (2001) Comput. Methods Appl. Mech. Eng. , vol.190 , pp. 5391-5412
    • Saramito, P.1    Roquet, N.2
  • 47
    • 33749256625 scopus 로고    scopus 로고
    • Steady-state flow of compressible rigid-viscoplastic media
    • Cazacu O., Ionescu I.R., Perrot T. Steady-state flow of compressible rigid-viscoplastic media. Int. J. Eng. Sci. 2006, 44:1082-1097.
    • (2006) Int. J. Eng. Sci. , vol.44 , pp. 1082-1097
    • Cazacu, O.1    Ionescu, I.R.2    Perrot, T.3
  • 48
    • 33947166377 scopus 로고    scopus 로고
    • Granular column collapses: further experimental results
    • Thompson E.L., Huppert H.E. Granular column collapses: further experimental results. J. Fluid Mech. 2007, 575:177-186.
    • (2007) J. Fluid Mech. , vol.575 , pp. 177-186
    • Thompson, E.L.1    Huppert, H.E.2
  • 49
    • 84895808680 scopus 로고    scopus 로고
    • Frictional weakening in landslides on Earth and on other planetary bodies
    • Lucas A., Mangeney A., Ampuero J.-P. Frictional weakening in landslides on Earth and on other planetary bodies. Nat. Commun. 2014, 5:3417.
    • (2014) Nat. Commun. , vol.5 , pp. 3417
    • Lucas, A.1    Mangeney, A.2    Ampuero, J.-P.3
  • 52
    • 0003887107 scopus 로고
    • Augmented Lagrangian and Operator Splitting method in Non-Linear Mechanics
    • Glowinski R., Le Tallec P. Augmented Lagrangian and Operator Splitting method in Non-Linear Mechanics. SIAM Stud. Appl. Math. 1989.
    • (1989) SIAM Stud. Appl. Math.
    • Glowinski, R.1    Le Tallec, P.2
  • 54
    • 84875777318 scopus 로고    scopus 로고
    • Augmented Lagrangian for shallow viscoplastic flow with topography
    • Ionescu I.R. Augmented Lagrangian for shallow viscoplastic flow with topography. J. Comput. Phys. 2013, 242:544-560.
    • (2013) J. Comput. Phys. , vol.242 , pp. 544-560
    • Ionescu, I.R.1
  • 55
    • 0019718251 scopus 로고
    • Lagrangian-Eulerian finite element formulation for incompressible viscous flows
    • Hughes T., Liu W., Zimmermann T. Lagrangian-Eulerian finite element formulation for incompressible viscous flows. Comput. Methods Appl. Mech. Eng. 1981, 29:329-349.
    • (1981) Comput. Methods Appl. Mech. Eng. , vol.29 , pp. 329-349
    • Hughes, T.1    Liu, W.2    Zimmermann, T.3
  • 56
    • 0013425921 scopus 로고    scopus 로고
    • Characteristics ALE method for the unsteady 3D Navier-Stokes equations with a free surface
    • Maury B. Characteristics ALE method for the unsteady 3D Navier-Stokes equations with a free surface. Int. J. Comput. Fluid Dyn. 1996, 6:175-188.
    • (1996) Int. J. Comput. Fluid Dyn. , vol.6 , pp. 175-188
    • Maury, B.1
  • 57
  • 58
    • 6444225918 scopus 로고    scopus 로고
    • Arbitrary Lagrangian-Eulerian method for Navier-Stokes equations with moving boundaries
    • Duarte F., Gormaz R., Natesan S. Arbitrary Lagrangian-Eulerian method for Navier-Stokes equations with moving boundaries. Comput. Methods Appl. Mech. Eng. 2004, 193:4819-4836.
    • (2004) Comput. Methods Appl. Mech. Eng. , vol.193 , pp. 4819-4836
    • Duarte, F.1    Gormaz, R.2    Natesan, S.3
  • 60
    • 31544454703 scopus 로고    scopus 로고
    • Numerical modeling of the emplacement of Socompa rock avalanche, Chile
    • Kelfoun K., Druitt T.H. Numerical modeling of the emplacement of Socompa rock avalanche, Chile. J. Geophys. Res. 2005, 110:B12202.
    • (2005) J. Geophys. Res. , vol.110 , pp. B12202
    • Kelfoun, K.1    Druitt, T.H.2


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