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Volumn 470, Issue 2170, 2014, Pages

A depth-averaged debris-flow model that includes the effects of evolving dilatancy. II. Numerical predictions and experimental tests

Author keywords

Debris flow; Granular fluid mixtures; Hyperbolic problems; Landslide

Indexed keywords

DEPOSITION; EXPERIMENTS; LANDSLIDES; MATHEMATICAL MODELS; OPEN SOURCE SOFTWARE; OPEN SYSTEMS; SOFTWARE ENGINEERING; STABILITY; VOLUME FRACTION;

EID: 84907221089     PISSN: 13645021     EISSN: 14712946     Source Type: Journal    
DOI: 10.1098/rspa.2013.0820     Document Type: Article
Times cited : (179)

References (61)
  • 1
    • 84907200813 scopus 로고    scopus 로고
    • A depth-averaged debris-flowmodel that includes the effects of evolving dilatancy. i
    • Iverson RM, George DL. 2014 A depth-averaged debris-flowmodel that includes the effects of evolving dilatancy. I. Physical basis.Proc. R. Soc. A 470, 20130819. (doi:10.1 098/rspa.2013.0819
    • (2014) Physical Basis.Proc. R. Soc. A , vol.470 , pp. 20130819
    • Iverson, R.M.1    George, D.L.2
  • 3
  • 4
    • 23844543355 scopus 로고    scopus 로고
    • A two-fluid model for avalanche and debris flows
    • Pitman EB, Le L. 2005 A two-fluid model for avalanche and debris flows. Phil. Trans. R. Soc. A 363, 1573-1601. (doi:10.1098/rsta.2005.1596
    • (2005) Phil. Trans. R. Soc. A , vol.363 , pp. 1573-1601
    • Pitman, E.B.1    Le, L.2
  • 5
    • 0004188891 scopus 로고    scopus 로고
    • The dynamics of fluidized particles
    • Cambridge UK: Cambridge University Press
    • Jackson R. 2000 The dynamics of fluidized particles. Cambridge Monographs on Mechanics. Cambridge, UK: Cambridge University Press.
    • (2000) Cambridge Monographs on Mechanics
    • Jackson, R.1
  • 6
    • 49949103892 scopus 로고    scopus 로고
    • A roe-type scheme for two-phase shallow granular flows over variable topography
    • Pelanti M, Bouchut F, Mangeney A. 2008 A Roe-type scheme for two-phase shallow granular flows over variable topography.Math. Model. Numer. Anal. 42, 851-885. (doi:10.1051/m2an:2008029)
    • (2008) Math. Model. Numer. Anal , vol.42 , pp. 851-885
    • Pelanti, M.1    Bouchut, F.2    Mangeney, A.3
  • 7
    • 78649319913 scopus 로고    scopus 로고
    • Numerical modeling of twophase gravitational granular flows with bottom topography
    • (eds S Benzoni-Gavage, D Serre). Proc. 11'th Intl. Conf. on Hyperbolic Problems, 2008. Berlin: Springer
    • Pelanti M, Bouchut F, Mangeney-Castelnau A, Vilotte JP. 2006 Numerical modeling of twophase gravitational granular flows with bottom topography. In Hyperbolic problems: theory, numerics, applications (eds S Benzoni-Gavage, D Serre). Proc. 11'th Intl. Conf. on Hyperbolic Problems, 2008, pp. 825-832. Berlin: Springer.
    • (2006) Hyperbolic Problems: Theory, Numerics, Applications , pp. 825-832
    • Pelanti, M.1    Bouchut, F.2    Mangeney-Castelnau, A.3    Vilotte, J.P.4
  • 8
    • 84864835717 scopus 로고    scopus 로고
    • A general two-phase debris flow model
    • Pudasaini SP. 2012 A general two-phase debris flow model. J. Geophys. Res. 117, F03010. (doi:10.1029/2011JF002186
    • (2012) J. Geophys. Res , vol.117 , pp. F03010
    • Pudasaini, S.P.1
  • 10
    • 0031414779 scopus 로고    scopus 로고
    • The physics of debris flows
    • Iverson RM., 1997 The physics of debris flows. Rev. Geophys. 35, 245-296, 10.1029/97RG00426)
    • (1997) Rev. Geophys , vol.35 , pp. 245-296
    • Iverson, R.M.1
  • 11
    • 0035092403 scopus 로고    scopus 로고
    • Flow of variably fluidized granular masses across threedimensional terrain. 1. Coulomb mixture theory
    • Iverson RM, Denlinger RP. 2001 Flow of variably fluidized granular masses across threedimensional terrain. 1. Coulomb mixture theory. J. Geophys. Res. 1 06, 537-552. (doi:10.1029/2000JB900329
    • (2001) J. Geophys. Res , vol.106 , pp. 537-552
    • Iverson, R.M.1    Denlinger, R.P.2
  • 12
    • 84871859247 scopus 로고    scopus 로고
    • Shallow two-component gravity-driven flows with vertical variation
    • Kowalski J, McElwaine JN. 2013 Shallow two-component gravity-driven flows with vertical variation. J. Fluid Mech. 714, 434-462. (doi:10.1017/jfm.2012.489
    • (2013) J. Fluid Mech , vol.714 , pp. 434-462
    • Kowalski, J.1    McElwaine, J.N.2
  • 15
    • 85053805007 scopus 로고    scopus 로고
    • The perfect debris flow? Aggregated results from 28 large-scale experiments
    • Iverson RM, LoganM, LaHusen RG, Berti M. 2010 The perfect debris flow? aggregated results from 28 large-scale experiments. J. Geophys. Res. 115, 1-29. (doi:10.1029/2009JF001514)
    • (2010) J. Geophys. Res , vol.115 , pp. 1-29
    • Iverson, R.M.1    Loganm Lahusen, R.G.2    Berti, M.3
  • 16
    • 0025721526 scopus 로고
    • The dynamics of avalanches of granular materials from initiation to runout, part i
    • (doi:10.1007/BF01175958
    • Savage SB, Hutter K. 1991 The dynamics of avalanches of granular materials from initiation to runout, part I. Analysis. Acta Mech. 86, 201-223. (doi:10.1007/BF01175958
    • (1991) Analysis. Acta Mech , vol.86 , pp. 201-223
    • Savage, S.B.1    Hutter, K.2
  • 17
    • 0003733595 scopus 로고    scopus 로고
    • Finite volume methods for hyperbolic problems
    • Cambridge UK: Cambridge University Press
    • LeVeque RJ. 2002 Finite volume methods for hyperbolic problems. Texts in Applied Mathematics. Cambridge, UK: Cambridge University Press.
    • (2002) Texts in Applied Mathematics
    • Leveque, R.J.1
  • 18
    • 0001522672 scopus 로고
    • Definition and weak stability of nonconservative products
    • Dal Maso G, LeFloch PG, Murat F. 1995 Definition and weak stability of nonconservative products. J. Math. Pures Appl. 74, 483-548.
    • (1995) J. Math. Pures Appl , vol.74 , pp. 483-548
    • Dal Maso, G.1    Lefloch, P.G.2    Murat, F.3
  • 19
    • 47049112379 scopus 로고    scopus 로고
    • Why many theories of shock waves are necessary: Convergence error in formally pat h-consistent schemes
    • Castro MJ, LeFloch PG, Munoz ML, Parés C. 2008 Why many theories of shock waves are necessary: convergence error in formally pat h-consistent schemes. J. Comput. Phys. 227, 8107-8129. (doi:10.1016/j.jcp.2008.05.012
    • (2008) J. Comput. Phys , vol.227 , pp. 8107-8129
    • Castro, M.J.1    Lefloch, P.G.2    Munoz, M.L.3    Parés, C.4
  • 20
    • 0041697501 scopus 로고    scopus 로고
    • Hyperbolic systems of conservation laws
    • Oxford UK: Oxford University Press
    • Bressan A. 2000 Hyperbolic systems of conservation laws. The one-dimensional Cauchy problem. Oxford, UK: Oxford University Press.
    • (2000) The One-Dimensional Cauchy Problem
    • Bressan, A.1
  • 21
    • 0006338644 scopus 로고    scopus 로고
    • Well posedness of the cauchy problem for n × n conservation laws
    • Bressan A, Crasta G, Piccoli B. 2000 Well posedness of the Cauchy problem for n × n conservation laws. Mem. Am. Math. Soc. 694, viii+134.
    • (2000) Mem. Am. Math. Soc , vol.694 , pp. viii+134
    • Bressan, A.1    Crasta, G.2    Piccoli, B.3
  • 22
    • 0001069992 scopus 로고
    • Théorie du mouvement non-permanent des eaux, avec application aux crues des riviéres et á l'introduction des marees dans leur lit
    • de Saint-Venant AJ C. 1871 Théorie du mouvement non-permanent des eaux, avec application aux crues des riviéres et á l'introduction des marees dans leur lit. C. R. Acad. Sci. Paris 73, 147-154.
    • (1871) C. R. Acad. Sci. Paris , vol.73 , pp. 147-154
    • De Saint-Venant, A.J.C.1
  • 23
    • 0024611991 scopus 로고
    • The motion of a finite mass of granular material down a rough incline
    • Savage SB, Hutter K. 1989 The motion of a finite mass of granular material down a rough incline. J. Fluid Mech. 199, 177-215. (doi:10.1017/S0022112089000340
    • (1989) J. Fluid Mech , vol.199 , pp. 177-215
    • Savage, S.B.1    Hutter, K.2
  • 24
    • 0037715192 scopus 로고    scopus 로고
    • A new model of saint venant and savage-hutter type for gravity driven shallow water flows
    • Bouchut F,Mangeney-Castelnau A, Perthame B, Vilotte J-P. 2003 A new model of Saint Venant and Savage-Hutter type for gravity driven shallow water flows. C. R. Acad. Sci. Paris I336, 531-536. (doi:10.1016/S1631-073X(03)00117-1
    • (2003) C. R. Acad. Sci. Paris i , vol.336 , pp. 531-536
    • Bouchut, F.1    Mangeney-Castelnau, A.2    Perthame, B.3    Vilotte, J.-P.4
  • 25
    • 0005831715 scopus 로고
    • Unconfined flow of granular avalanches along a partly curved surface. 1
    • Greve R, Koch T,Hutter K. 199 4 Unconfined flow of granular avalanches along a partly curved surface. 1. Theory. Proc. R. Soc. Lond. A 445, 399-413. (doi:10.1098/rspa.1994.0068
    • (1994) Theory. Proc. R. Soc. Lond. A , vol.445 , pp. 399-413
    • Greve, R.1    Koch, T.2    Hutter, K.3
  • 26
    • 33746445883 scopus 로고    scopus 로고
    • Gravi ty-driven free surface flow of granular avalanches over complex basal topography
    • Gray JMNT, Weiland M, Hutter K. 1999 Gravi ty-driven free surface flow of granular avalanches over complex basal topography. Proc. R. Soc. Lond. A 455, 1841-1874. (doi:10.1098/rspa.1999.0383
    • (1999) Proc. R. Soc. Lond. A , vol.455 , pp. 1841-1874
    • Jmnt, G.1    Weiland, M.2    Hutter, K.3
  • 27
    • 29244451795 scopus 로고    scopus 로고
    • Gravity driven shallow water models for arbitrary topography
    • Bouchut R, Westdickenberg M. 2004 Gravity driven shallow water models for arbitrary topography. Comm. Math. Sci. 2, 359-389. (doi:10.4310/CMS.2004.v2.n3.a2
    • (2004) Comm. Math. Sci , vol.2 , pp. 359-389
    • Bouchut, R.1    Westdickenberg, M.2
  • 29
    • 0141569219 scopus 로고    scopus 로고
    • Shallow-water theory for arbitrary slopes of the bottom
    • Keller JB. 2003 Shallow-water theory for arbitrary slopes of the bottom. J. Fluid Mech. 489, 345-348. (doi:10.1017/S0022112003005342
    • (2003) J. Fluid Mech , vol.489 , pp. 345-348
    • Keller, J.B.1
  • 30
    • 0000935266 scopus 로고
    • A difference method for numerical calculation of discontinuous solutions of the equations of hydrodynamics
    • Godunov SK. 1959 A difference method for numerical calculation of discontinuous solutions of the equations of hydrodynamics. Mat. Sb. 47, 271-306.
    • (1959) Mat. Sb , vol.47 , pp. 271-306
    • Godunov, S.K.1
  • 31
    • 84980077199 scopus 로고
    • Systems of conservation laws
    • Lax PD,Wendroff B., 19603Systems of conservation laws. Comm. Pure Appl. Math, 13, 217-237, 10.1002/cpa.3160130205)
    • (1960) Comm. Pure Appl. Math , vol.13 , pp. 217-237
    • Lax, P.D.1    Wendroff, B.2
  • 34
    • 0004334072 scopus 로고    scopus 로고
    • Clawpack See
    • Clawpack. 2013 The clawpack software. See http://www.clawpack.org.
    • (2013) The Clawpack Software
  • 35
    • 80052830830 scopus 로고    scopus 로고
    • The geoclaw software for depthaveraged flows with adaptive refinement
    • Berger MJ, George DL, LeVeque RJ, Mandli KT. 2011 The GeoClaw software for depthaveraged flows with adaptive refinement. Adv. Water Resour. 34, 1195-1206. (doi:10.1016/j.advwatres.2011.02.016
    • (2011) Adv. Water Resour , vol.34 , pp. 1195-1206
    • Berger, M.J.1    George, D.L.2    Leveque, R.J.3    Mandli, K.T.4
  • 36
    • 79956136824 scopus 로고    scopus 로고
    • Tsunami modeling with adaptively refined finite volume methods
    • LeVeque RJ, George DL, Berger MJ. 2011 Tsunami modeling with adaptively refined finite volume methods. Acta Numerica 20, 211-289. (doi:10.1017/S0962492911000043
    • (2011) Acta Numerica , vol.20 , pp. 211-289
    • Leveque, R.J.1    George, D.L.2    Berger, M.J.3
  • 37
    • 79958835984 scopus 로고    scopus 로고
    • Adaptive finite volume methods with well-balanced riemann solvers for modeling floods in rug ged terrain: Application to the malpasset dam-break flood (france 1959
    • George DL. 2011 Adaptive finite volume methods with well-balanced Riemann solvers for modeling floods in rug ged terrain: application to the Malpasset dam-break flood (France, 1959). Int. J. Numer. Meth. Fluids 66, 1000-1018. (doi:10.1002/fld.2298
    • (2011) Int. J. Numer. Meth. Fluids , vol.66 , pp. 1000-1018
    • George, D.L.1
  • 38
    • 0002258785 scopus 로고
    • High resolution finite volume methods on arbitrary grids via wave propagaton
    • LeVeque RJ. 1988 High resolution finite volume methods on arbitrary grids via wave propagaton. J. Comput. Phys. 78, 36-63. (doi:10.1016/0021-9991(88)90036-8
    • (1988) J. Comput. Phys , vol.78 , pp. 36-63
    • Leveque, R.J.1
  • 39
    • 0038746749 scopus 로고    scopus 로고
    • A wave propagation method for conser vation laws and balance laws with spatially varying flux functions
    • Bale DS, LeVeque RJ, Mitran S, Rossmanith JA. 2002 A wave propagation method for conser vation laws and balance laws with spatially varying flux functions. SIAM J. Sci. Comput. 24, 955-978. (doi:10.1137/S106482750139738X
    • (2002) SIAM J. Sci. Comput , vol.24 , pp. 955-978
    • Bale, D.S.1    Leveque, R.J.2    Mitran, S.3    Rossmanith, J.A.4
  • 40
    • 2942757053 scopus 로고
    • Approximate riemann solvers, parameter vectors, and difference schemes
    • Roe PL. 1981 Approximate Riemann solvers, parameter vectors, and difference schemes. J. Comput. Phys. 43, 357-372. (doi:10.1016/0021-9991(81)90128-5
    • (1981) J. Comput. Phys , vol.43 , pp. 357-372
    • Roe, P.L.1
  • 41
    • 84968497746 scopus 로고
    • Why non-conservative schemes converge to the wrong solutions: Error analysis
    • Hou T, LeFloch P. 1994 Why non-conservative schemes converge to the wrong solutions: error analysis. Math. Comput. 62, 497-530. (doi:10.1090/S0025-5718-1994-1201068-0
    • (1994) Math. Comput , vol.62 , pp. 497-530
    • Hou, T.1    Lefloch, P.2
  • 42
    • 1542576141 scopus 로고    scopus 로고
    • A well-balanced scheme for numerical processing of source terms in hyperbolic equations
    • Greenberg JM, LeRoux AY. 1996 A well-balanced scheme for numerical processing of source terms in hyperbolic equations. SIAM J. Numer. Anal. 33, 1-16. (doi:10.1137/0733001
    • (1996) SIAM J. Numer. Anal , vol.33 , pp. 1-16
    • Greenberg, J.M.1    Leroux, A.Y.2
  • 45
    • 37249012023 scopus 로고    scopus 로고
    • On well-balanced finite volume methods for nonconservative nonhomogeneous hyperbolic systems
    • Castro-Díaz MJ, Chacón Rebollo T, Fernández-Nieto ED, Parés C. 2007 On well-balanced finite volume methods for nonconservative nonhomogeneous hyperbolic systems. SIAM J. Sci. Comput. 29, 1093-1126. (doi:10.1137/040607642
    • (2007) SIAM J. Sci. Comput , vol.29 , pp. 1093-1126
    • Castro-Díaz, M.J.1    Chacón Rebollo, T.2    Fernández-Nieto, E.D.3    Parés, C.4
  • 46
    • 34548349100 scopus 로고    scopus 로고
    • Numerical modeling of self-channeling granular flows and their levee-channel deposits
    • Mangeney A, Bouchut F, Thomas N, Vilotte JP, Bristeau MO. 2007 Numerical modeling of self-channeling granular flows and their levee-channel deposits. J. Geophys. Res. 112, F02017. (doi:10.1029/2006JF000469
    • (2007) J. Geophys. Res , vol.112 , pp. F02017
    • Mangeney, A.1    Bouchut, F.2    Thomas, N.3    Vilotte, J.P.4    Bristeau, M.O.5
  • 47
    • 38949110674 scopus 로고    scopus 로고
    • Augmented riemann solvers for the shallow water equations over variable topography with steady states and inundation
    • George DL. 2008 Augmented Riemann solvers for the shallow water equations over variable topography with steady states and inundation. J. Comput. Phys. 227, 3089-3113. (doi:10.1016/j.jcp.2007.10.027
    • (2008) J. Comput. Phys , vol.227 , pp. 3089-3113
    • George, D.L.1
  • 49
    • 34248326790 scopus 로고    scopus 로고
    • A second-order well-balanced positivity preserving centralupwind scheme for the saint-venant system
    • Kurganov A, Petrova G. 2007 A second-order well-balanced positivity preserving centralupwind scheme for the Saint-Venant system. Commun. Math. Sci. 5, 133-160. (doi:10.4310/CMS.2007.v5.n1.a6
    • (2007) Commun. Math. Sci , vol.5 , pp. 133-160
    • Kurganov, A.1    Petrova, G.2
  • 50
    • 33846510317 scopus 로고    scopus 로고
    • Evaluation of well-balanced bore-capturing schemes for 2d wetting and drying processes
    • Marche F, Bonneton P, Fabrie P, Seguin N. 2007 Evaluation of well-balanced bore-capturing schemes for 2d wetting and drying processes. Int. J. Nume r. Meth. Fluids 53, 867-894. (doi:10.1002/fld.1311
    • (2007) Int. J. Nume R. Meth. Fluids , vol.53 , pp. 867-894
    • Marche, F.1    Bonneton, P.2    Fabrie, P.3    Seguin, N.4
  • 51
    • 0000308880 scopus 로고    scopus 로고
    • Wave propagation algorithms for multi-dimensional hyperbolic systems
    • LeVeque RJ. 1997 Wave propagation algorithms for multi-dimensional hyperbolic systems. J. Comput. Phys. 131, 327-335. (doi:10.1006/jcph.1996.5603)
    • (1997) J. Comput. Phys , vol.131 , pp. 327-335
    • Leveque, R.J.1
  • 52
    • 48749141209 scopus 로고
    • Adaptive mesh refinement for hyperbolic partial differential equations
    • Berger MJ, Oliger J., 1984, Adaptive mesh refinement for hyperbolic partial differential equations. J. Comput. Phys., 53, 484-512, 10.1016/0021-9991(84)90073-1)
    • (1984) J. Comput. Phys , vol.53 , pp. 484-512
    • Berger, M.J.1    Oliger, J.2
  • 53
    • 0001762370 scopus 로고    scopus 로고
    • Adaptive mesh refinement using wave-propagation algorithms for hyperbolic systems
    • Berger MJ, LeVeque RJ. 1998 Adaptive mesh refinement using wave-propagation algorithms for hyperbolic systems. SIAM J. Numer. Anal. 35, 346-365. (doi:10.1137/S0036142997315974
    • (1998) SIAM J. Numer. Anal , vol.35 , pp. 346-365
    • Berger, M.J.1    Leveque, R.J.2
  • 54
    • 77952421883 scopus 로고    scopus 로고
    • Video documentation of experiments at the usgs debris-flow flume 1992-2006 amended to include 2007-2013) 2007
    • Logan M, Iverson RM. Video documentation of experiments at the USGS debris-flow flume, 1992-2006 (amended to include 2007-2013), 2007. US Geological Survey Open-file Report 2007-1315. (http://pubs.usgs.gov/of/2007/1315/)
    • US Geological Survey Open-file Report , pp. 2007-1315
    • Logan, M.1    Iverson, R.M.2
  • 56
    • 0031105171 scopus 로고    scopus 로고
    • Factors affecting apparent position of steady-state line
    • Riemer MF, Seed RB. 1997 Factors affecting apparent position of steady-state line. J. Geotech. Geoenviron. Eng. 123, 281-288. (doi:10.1061/(ASCE)1090-0241(1997)123:3(281)
    • (1997) J. Geotech. Geoenviron. Eng , vol.123 , pp. 281-288
    • Riemer, M.F.1    Seed, R.B.2
  • 57
    • 0032781804 scopus 로고    scopus 로고
    • Stress-strain behaviour of a loosely compacted volcanicderived soil and its significance to rainfall-induced fill slope failures
    • Dai F, Lee CF, Wang S, Feng Y. 1999 Stress-strain behaviour of a loosely compacted volcanicderived soil and its significance to rainfall-induced fill slope failures. Eng. Geol. 53, 359-370. (doi:10.1016/S0013-7952(99)00016-2
    • (1999) Eng. Geol , vol.53 , pp. 359-370
    • Dai, F.1    Lee, C.F.2    Wang, S.3    Feng, Y.4
  • 58
    • 66149084809 scopus 로고    scopus 로고
    • Steady and intermittent slipping in a model of landslide motion regulated by pore-pressure feedback
    • Schaeffer D, Iverson R. 2008 Steady and intermittent slipping in a model of landslide motion regulated by pore-pressure feedback. SIAM J. Appl. Math. 69, 769-786. (doi:10.1137/07070704X
    • (2008) SIAM J. Appl. Math , vol.69 , pp. 769-786
    • Schaeffer, D.1    Iverson, R.2
  • 59
    • 70450200148 scopus 로고    scopus 로고
    • Elements of an improved model of debris-flow motion
    • (ed. M Nakagawa and S Luding) Melville, NY: American Institute of Physics
    • Iverson RM. 2009 Elements of an improved model of debris-flow motion. In Powders and Grains 2009 (ed. M Nakagawa and S Luding), pp. 9-16. Melville, NY: American Institute of Physics.
    • (2009) Powders and Grains , vol.2009 , pp. 9-16
    • Iverson, R.M.1
  • 61
    • 33746371365 scopus 로고    scopus 로고
    • High ord er finite volume schemes based on reconstruction of states for solving hyperbolic systems with nonconservative products. Applications to shallow water systems
    • Castro M, Gallardo JM, Parés C. 2006 High ord er finite volume schemes based on reconstruction of states for solving hyperbolic systems with nonconservative products. Applications to shallow water systems. Math. Comp. 75, 1103-1134. (doi:10.1090/S0025-5718-06-01851-5
    • (2006) Math. Comp , vol.75 , pp. 1103-1134
    • Castro, M.1    Gallardo, J.M.2    Parés, C.3


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