메뉴 건너뛰기




Volumn 199, Issue 1, 2004, Pages 150-174

A shock-capturing wave-propagation method for dry and saturated granular flows

Author keywords

Fractional step method; Free moving boundary; Granular flows; Shock capturing; Wave propagation method

Indexed keywords

CONFINED FLOW; GRANULAR MATERIALS; NUMERICAL METHODS;

EID: 3343000506     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jcp.2004.02.008     Document Type: Article
Times cited : (16)

References (33)
  • 1
    • 0000954323 scopus 로고    scopus 로고
    • Convergence of a finite volume extension of the Nessyahu-Tadmor scheme on unstructured grids for a two-dimensional linear hyperbolic equation
    • Arminjon P. Viallon M.C. Convergence of a finite volume extension of the Nessyahu-Tadmor scheme on unstructured grids for a two-dimensional linear hyperbolic equation SIAM J. Numer. Anal. 36 1999 738
    • (1999) SIAM J. Numer. Anal. , vol.36 , pp. 738
    • Arminjon, P.1    Viallon, M.C.2
  • 2
    • 0038746749 scopus 로고    scopus 로고
    • A wave propagation method for conservation laws and balance laws with spatially-varying flux functions
    • Bale D.S. LeVeque R.J. Mitran S. Rossmanith J.A. A wave propagation method for conservation laws and balance laws with spatially-varying flux functions SIAM J. Sci. Comput. 24 2002 955 -978
    • (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
  • 3
    • 0035093201 scopus 로고    scopus 로고
    • Flow of variably fluidized granular masses across three-dimensional terrain: 2. Numerical predictions and experienced tests
    • Denlinger R.P. Iverson R.M. Flow of variably fluidized granular masses across three-dimensional terrain: 2. Numerical predictions and experienced tests J. Geophys. Res. 106 2001 553-566
    • (2001) J. Geophys. Res. , vol.106 , pp. 553-566
    • Denlinger, R.P.1    Iverson, R.M.2
  • 5
    • 0000935266 scopus 로고
    • A finite difference method for the computation of discontinuous solutions of the equations of fluid dynamics
    • Godunov S.K. A finite difference method for the computation of discontinuous solutions of the equations of fluid dynamics Mat. Sb. 47 1959 357
    • (1959) Mat. Sb. , vol.47 , pp. 357
    • Godunov, S.K.1
  • 6
    • 0031734094 scopus 로고    scopus 로고
    • On the inclusion of a velocity dependent basal drag in avalanche models
    • Gray J.M.N.T. Tai Y.C. On the inclusion of a velocity dependent basal drag in avalanche models Ann. Glaciol. 26 1998 37
    • (1998) Ann. Glaciol. , vol.26 , pp. 37
    • Gray, J.M.N.T.1    Tai, Y.C.2
  • 7
    • 33746445883 scopus 로고    scopus 로고
    • Gravity-driven free surface flow of granular avalanches over complex basal topography
    • Gray J.M.N.T. Wieland M. Hutter K. Gravity-driven free surface flow of granular avalanches over complex basal topography Proc. Roy. Soc. Lond. A 455 1998 1841-1874
    • (1998) Proc. Roy. Soc. Lond. A , vol.455 , pp. 1841-1874
    • Gray, J.M.N.T.1    Wieland, M.2    Hutter, K.3
  • 8
    • 0001158666 scopus 로고
    • Motion of a granular avalanche in a convex and concave curved chute: Experiments and theoretical predictions
    • Greve R. Hutter K. Motion of a granular avalanche in a convex and concave curved chute: experiments and theoretical predictions Proc. R. Soc. Lond. A 445 1993 399
    • (1993) Proc. R. Soc. Lond. A , vol.445 , pp. 399
    • Greve, R.1    Hutter, K.2
  • 9
    • 0005831715 scopus 로고
    • Unconfined flow of granular avalanches along a partly curved chute. I. Theory
    • Greve R. Koch T. Hutter K. Unconfined flow of granular avalanches along a partly curved chute. I. Theory Proc. Roy. Soc. Lond. A 445 1994 399
    • (1994) Proc. Roy. Soc. Lond. A , vol.445 , pp. 399
    • Greve, R.1    Koch, T.2    Hutter, K.3
  • 10
    • 0000876320 scopus 로고
    • On upstream differencing and Godunov-type schemes for hyperbolic conservation laws
    • Harten A. Lax P.D. van Leer B. On upstream differencing and Godunov-type schemes for hyperbolic conservation laws SIAM Rev. 25 1983 35
    • (1983) SIAM Rev. , vol.25 , pp. 35
    • Harten, A.1    Lax, P.D.2    van Leer, B.3
  • 13
    • 0029208539 scopus 로고
    • The dynamics of avalanches of granular materials from initiation to runout
    • Hutter K. Koch T. Plüss C. Savage S.B. The dynamics of avalanches of granular materials from initiation to runout Acta Mech. 109 1995 127
    • (1995) Acta Mech. , vol.109 , pp. 127
    • Hutter, K.1    Koch, T.2    Plüss, C.3    Savage, S.B.4
  • 15
    • 0031414779 scopus 로고    scopus 로고
    • The physics of debris flows
    • Iverson R.M. The physics of debris flows Rev. Geophys. 35 1997 245
    • (1997) Rev. Geophys. , vol.35 , pp. 245
    • Iverson, R.M.1
  • 16
    • 0035092403 scopus 로고    scopus 로고
    • Flow of variably fluidized granular masses across three-dimensional terrain: 1. Coulomb mixture theory
    • Iverson R.M. Denlinger R.P. Flow of variably fluidized granular masses across three-dimensional terrain: 1. Coulomb mixture theory J. Geophys. Res. 106 2001 537-552
    • (2001) J. Geophys. Res. , vol.106 , pp. 537-552
    • Iverson, R.M.1    Denlinger, R.P.2
  • 18
    • 0000308880 scopus 로고    scopus 로고
    • Wave propagation algorithm for multidimensional hyperbolic systems
    • Leveque R.J. Wave propagation algorithm for multidimensional hyperbolic systems J. Comput. Phys. 131 1997 327-353
    • (1997) J. Comput. Phys. , vol.131 , pp. 327-353
    • Leveque, R.J.1
  • 19
    • 0001315315 scopus 로고    scopus 로고
    • Balancing source terms and flux gradients in high-resolution Godunov methods: The quasi-steady wave-propagation algorithm
    • Leveque R.J. Balancing source terms and flux gradients in high-resolution Godunov methods: The quasi-steady wave-propagation algorithm J. Comput. Phys. 146 1998 346-365
    • (1998) J. Comput. Phys. , vol.146 , pp. 346-365
    • Leveque, R.J.1
  • 21
    • 85189851159 scopus 로고    scopus 로고
    • A wave propagation method for conservation laws and balance laws with spatially-varying flux functions
    • (submitted)
    • Leveque R.J. Bale D.E. Mitran S. Rossmanith A. A wave propagation method for conservation laws and balance laws with spatially-varying flux functions, J. Comput. Phys. (submitted)
    • J. Comput. Phys.
    • Leveque, R.J.1    Bale, D.E.2    Mitran, S.3    Rossmanith, A.4
  • 22
    • 28144455569 scopus 로고
    • Non-oscillatory central differencing for hyperbolic conservation laws
    • Nessyahu N. Tadmor E. Non-oscillatory central differencing for hyperbolic conservation laws J. Comput. Phys. 87 1990 408
    • (1990) J. Comput. Phys. , vol.87 , pp. 408
    • Nessyahu, N.1    Tadmor, E.2
  • 23
    • 0024063633 scopus 로고
    • Laboratory analysis of mudflow properties
    • O'Brien J.S. Julien P.Y. Laboratory analysis of mudflow properties J. Hydr. Eng. 114 1988 877-887
    • (1988) J. Hydr. Eng. , vol.114 , pp. 877-887
    • O'Brien, J.S.1    Julien, P.Y.2
  • 24
    • 85189851897 scopus 로고    scopus 로고
    • Granular avalanche model in arbitrarily curved and twisted mountain terrain
    • Dissertation at the Technical University Darmstadt
    • Pudasaini S. Granular avalanche model in arbitrarily curved and twisted mountain terrain, Dissertation at the Technical University Darmstadt, 2003
    • (2003)
    • Pudasaini, S.1
  • 25
    • 0024611991 scopus 로고
    • The motion of a finite mass of granular material down a rough incline
    • Savage W.Z. Hutter K. The motion of a finite mass of granular material down a rough incline J. Fluid Mech. 199 1989 177-215
    • (1989) J. Fluid Mech. , vol.199 , pp. 177-215
    • Savage, W.Z.1    Hutter, K.2
  • 26
    • 0025721526 scopus 로고
    • The dynamics of avalanches of granular materials from initiation to runout
    • Savage W.Z. Hutter K. The dynamics of avalanches of granular materials from initiation to runout Acta Mech. 86 1991 201-223
    • (1991) Acta Mech. , vol.86 , pp. 201-223
    • Savage, W.Z.1    Hutter, K.2
  • 27
    • 0034899689 scopus 로고    scopus 로고
    • An accurate shock-capturing finite difference method to solve the Savage-Hutter equations in avalanche dynamics
    • Tai Y.C. Noelle S. Gray J.M.N.T. Hutter K. An accurate shock-capturing finite difference method to solve the Savage-Hutter equations in avalanche dynamics Ann. Glaciol. 32 2001 263
    • (2001) Ann. Glaciol. , vol.32 , pp. 263
    • Tai, Y.C.1    Noelle, S.2    Gray, J.M.N.T.3    Hutter, K.4
  • 28
    • 0036151390 scopus 로고    scopus 로고
    • Shock-capturing and front-tracking methods for granular avalanches
    • Tai Y.C. Noelle S. Gray J.M.N.T. Hutter K. Shock-capturing and front-tracking methods for granular avalanches J. Comput. Phys. 175 2002 269-301
    • (2002) J. Comput. Phys. , vol.175 , pp. 269-301
    • Tai, Y.C.1    Noelle, S.2    Gray, J.M.N.T.3    Hutter, K.4
  • 29
    • 0003122153 scopus 로고
    • Restoration of the contact surface in the HLL-Riemann solver
    • Toro E.F. Restoration of the contact surface in the HLL-Riemann solver Shock Waves 4 1994 25-34
    • (1994) Shock Waves , vol.4 , pp. 25-34
    • Toro, E.F.1
  • 30
    • 0029540991 scopus 로고    scopus 로고
    • Experimental and numerical assessment of the shallow water model for two-dimensional dam-break type problems
    • Toro E.F. Francarollo L. Experimental and numerical assessment of the shallow water model for two-dimensional dam-break type problems J. Hydr. Res. 33 1996 843-864
    • (1996) J. Hydr. Res. , vol.33 , pp. 843-864
    • Toro, E.F.1    Francarollo, L.2
  • 33
    • 3343005740 scopus 로고    scopus 로고
    • Savage-Hutter theory: A system of partial differential equations for avalanche flows of snow, debris and mud
    • submitted to ZAMM
    • Wang Y. Hutter K. Pudasaini S. Savage-Hutter theory: a system of partial differential equations for avalanche flows of snow, debris and mud, submitted to ZAMM (2003)
    • (2003)
    • Wang, Y.1    Hutter, K.2    Pudasaini, S.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.