메뉴 건너뛰기




Volumn 7, Issue 1, 2009, Pages 1-36

Modeling shallow gravity-driven solid-fluid mixtures over arbitrary topography

Author keywords

Curvilinear coordinates adapted to the topography; Debris flow; Mohr Coulomb granular material; Shallow avalanche equations; Solid fluid mixture

Indexed keywords


EID: 64549115456     PISSN: 15396746     EISSN: None     Source Type: Journal    
DOI: 10.4310/cms.2009.v7.n1.a1     Document Type: Article
Times cited : (12)

References (30)
  • 1
    • 29244451795 scopus 로고    scopus 로고
    • Gravity driven shallow water models for arbitrary topography
    • F. Bouchut and M. Westdickenberg, Gravity driven shallow water models for arbitrary topography, Commun. Math. Sci., 2(3), 359-389, 2004.
    • (2004) Commun. Math. Sci , vol.2 , Issue.3 , pp. 359-389
    • Bouchut, F.1    Westdickenberg, M.2
  • 3
    • 38749118976 scopus 로고    scopus 로고
    • Volume-weighted mixture theory for granular materials
    • K.C. Chen and Y.C. Tai, Volume-weighted mixture theory for granular materials, Cont. Mech. Thermodyn., 19, 457-474, 2008.
    • (2008) Cont. Mech. Thermodyn , vol.19 , pp. 457-474
    • Chen, K.C.1    Tai, Y.C.2
  • 4
    • 27744477033 scopus 로고    scopus 로고
    • Two-dimensional mathematical and numerical model for the dynamics of granular avalanches
    • S. De Toni and P. Scotton, Two-dimensional mathematical and numerical model for the dynamics of granular avalanches, Cold Regions Science and Technology, 43, 36-48, 2005.
    • (2005) Cold Regions Science and Technology , vol.43 , pp. 36-48
    • De Toni, S.1    Scotton, P.2
  • 5
    • 0035116351 scopus 로고    scopus 로고
    • Transition mechanism of debris flows over rigid bed to over erodible bed
    • S. Egashira, T. Itoh and H. Takeuchi, Transition mechanism of debris flows over rigid bed to over erodible bed, Phys. Chem. Earth (B), 26, 169-174, 2001.
    • (2001) Phys. Chem. Earth (B) , vol.26 , pp. 169-174
    • Egashira, S.1    Itoh, T.2    Takeuchi, H.3
  • 7
    • 0027790109 scopus 로고
    • Two-dimensional spreading of a granular avalanche down an inclined plane
    • K. Hutter, M. Siegel, S.B. Savage and Y. Nohguchi, Two-dimensional spreading of a granular avalanche down an inclined plane, Part I. Theory. Acta Mech., 100, 37-68, 1993.
    • (1993) Part I. Theory. Acta Mech , vol.100 , pp. 37-68
    • Hutter, K.1    Siegel, M.2    Savage, S.B.3    Nohguchi, Y.4
  • 8
    • 0031414779 scopus 로고    scopus 로고
    • The physics of debris flows
    • R.M. Iverson, The physics of debris flows, Rev. Geophys., 35, 245-296, 1997.
    • (1997) Rev. Geophys , vol.35 , pp. 245-296
    • Iverson, R.M.1
  • 9
    • 0035092403 scopus 로고    scopus 로고
    • Flow of variably fluidized granular masses across three-dimensional terrain. 1. Coulomb mixture theory
    • R.M. Iverson and R.G. Denlinger, Flow of variably fluidized granular masses across three-dimensional terrain. 1. Coulomb mixture theory, J. Geophysical Res., 106(B1), 537-552, 2001.
    • (2001) J. Geophysical Res , vol.106 , Issue.B1 , pp. 537-552
    • Iverson, R.M.1    Denlinger, R.G.2
  • 10
    • 64549099728 scopus 로고    scopus 로고
    • Non-Cartesian topography based avalanche equations and approximations of gravity driven flows of ideal and viscous fluids
    • I. Luca, Y.C. Tai and C.Y. Kuo, Non-Cartesian topography based avalanche equations and approximations of gravity driven flows of ideal and viscous fluids, Math. Mod. Meth. Appl. Sci., 19, 127-171, 2009.
    • (2009) Math. Mod. Meth. Appl. Sci , vol.19 , pp. 127-171
    • Luca, I.1    Tai, Y.C.2    Kuo, C.Y.3
  • 11
    • 67349245809 scopus 로고    scopus 로고
    • A hierarchy of avalanche models on arbitrary topography
    • to appear
    • I. Luca, K. Hutter, Y.C. Tai and C.Y. Kuo, A hierarchy of avalanche models on arbitrary topography, Acta Mech., to appear.
    • Acta Mech
    • Luca, I.1    Hutter, K.2    Tai, Y.C.3    Kuo, C.Y.4
  • 12
    • 0037374881 scopus 로고    scopus 로고
    • Constitutive relations for the interaction force in multicomponent particulate flows
    • M. Massoudi, Constitutive relations for the interaction force in multicomponent particulate flows, Int. J. Non-Linear Mech., 38, 313-336, 2003.
    • (2003) Int. J. Non-Linear Mech , vol.38 , pp. 313-336
    • Massoudi, M.1
  • 14
    • 15544373933 scopus 로고    scopus 로고
    • A model for the analysis of the rapid landslide motion across three dimensional terrain
    • S. McDougall and O. Hungr, A model for the analysis of the rapid landslide motion across three dimensional terrain, Canad. Geotech. J., 41(6), 1084-1097, 2004.
    • (2004) Canad. Geotech. J , vol.41 , Issue.6 , pp. 1084-1097
    • McDougall, S.1    Hungr, O.2
  • 15
    • 32344451141 scopus 로고    scopus 로고
    • Dynamic modeling of entrainment in rapid landslides
    • S. McDougall and O. Hungr, Dynamic modeling of entrainment in rapid landslides, Canad. Geotech. J., 42(5), 1437-1448, 2005.
    • (2005) Canad. Geotech. J , vol.42 , Issue.5 , pp. 1437-1448
    • McDougall, S.1    Hungr, O.2
  • 17
    • 49949103892 scopus 로고    scopus 로고
    • A Roe-type scheme for two-phase shallow granular flows over variable topography
    • M. Pelanti, F. Bouchut and A. Mangeney, A Roe-type scheme for two-phase shallow granular flows over variable topography, ESAIM: M2AN 42, 851-885, 2008.
    • (2008) ESAIM: M2AN , vol.42 , pp. 851-885
    • Pelanti, M.1    Bouchut, F.2    Mangeney, A.3
  • 18
    • 23844543355 scopus 로고    scopus 로고
    • A two-fluid model for avalanche and debris flows
    • E.B. Pitman and L. Le, A two-fluid model for avalanche and debris flows, Phil. Trans. R. Soc. A 363, 1573-1601, 2005.
    • (2005) Phil. Trans. R. Soc. A , vol.363 , pp. 1573-1601
    • Pitman, E.B.1    Le, L.2
  • 19
    • 23844486721 scopus 로고    scopus 로고
    • Rapid motions of free surface avalanches down curved and twisted channels and their numerical simulation
    • S.P. Pudasaini, Y. Wang and K. Hutter, Rapid motions of free surface avalanches down curved and twisted channels and their numerical simulation, Phil. Trans. R. Soc. A, 363, 1551-1571, 2005.
    • (2005) Phil. Trans. R. Soc. A , vol.363 , pp. 1551-1571
    • Pudasaini, S.P.1    Wang, Y.2    Hutter, K.3
  • 21
    • 27144431911 scopus 로고    scopus 로고
    • Velocity measurements in dry granular avalanches using particle image velocimetry technique and comparison with theoretical predictions
    • S.P. Pudasaini, S.S. Hsiau, Y. Wang and K. Hutter, Velocity measurements in dry granular avalanches using particle image velocimetry technique and comparison with theoretical predictions, Physics Fluids, 17(9), 2005.
    • (2005) Physics Fluids , vol.17 , Issue.9
    • Pudasaini, S.P.1    Hsiau, S.S.2    Wang, Y.3    Hutter, K.4
  • 24
    • 0024611991 scopus 로고
    • The motion of a finite mass of granular material down a rough incline
    • S.B. Savage and K. Hutter, The motion of a finite mass of granular material down a rough incline, J. Fluid. Mech., 199, 177-215, 1989.
    • (1989) J. Fluid. Mech , vol.199 , pp. 177-215
    • Savage, S.B.1    Hutter, K.2
  • 25
    • 77954592647 scopus 로고    scopus 로고
    • Solid-fluid mixtures of frictional materials in geophysical and geotechnical context
    • to appear
    • L. Schneider and K. Hutter, Solid-fluid mixtures of frictional materials in geophysical and geotechnical context, to appear.
    • Schneider, L.1    Hutter, K.2
  • 26
    • 0031734228 scopus 로고    scopus 로고
    • Limiting stress states in granular avalanches
    • Y.C. Tai and J.M.N.T. Gray, Limiting stress states in granular avalanches, Annals of Glaciology 26, 272-276, 1998.
    • (1998) Annals of Glaciology , vol.26 , pp. 272-276
    • Tai, Y.C.1    Gray, J.M.N.T.2
  • 28
    • 50649087759 scopus 로고    scopus 로고
    • A new model of granular flows over general topography with erosion and deposition
    • Y.C. Tai and C.Y. Kuo, A new model of granular flows over general topography with erosion and deposition, Acta Mech., 199, 71-96, 2008.
    • (2008) Acta Mech , vol.199 , pp. 71-96
    • Tai, Y.C.1    Kuo, C.Y.2
  • 29
    • 64549137919 scopus 로고    scopus 로고
    • C. Truesdell and R. Toupin, Handbuch der Physik, III/1, ed. S. Flügge, Springer Verlag, Berlin, Göttingen, Heidelberg, 1960.
    • C. Truesdell and R. Toupin, Handbuch der Physik, III/1, ed. S. Flügge, Springer Verlag, Berlin, Göttingen, Heidelberg, 1960.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.