Skip to main content
Top

2016 | OriginalPaper | Chapter

8. Numerical Tests and Simulations of Granular Avalanches

Authors : Ioana Luca, Yih-Chin Tai, Chih-Yu Kuo

Published in: Shallow Geophysical Mass Flows down Arbitrary Topography

Publisher: Springer International Publishing

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

In this chapter we apply the numerical implementation introduced in Chap. 7 to investigate and illustrate the key features of the models in the topography-fitted coordinate system.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literature
1.
go back to reference Y.C. Tai, C.Y. Kuo, W.H. Hui, An alternative depth-integrated formulation for granular avalanches over temporally varying topography with small curvature. Geophys. Astrophys. Fluid Dyn. 106(6), 596–629 (2012)CrossRef Y.C. Tai, C.Y. Kuo, W.H. Hui, An alternative depth-integrated formulation for granular avalanches over temporally varying topography with small curvature. Geophys. Astrophys. Fluid Dyn. 106(6), 596–629 (2012)CrossRef
2.
go back to reference Y.C. Tai, Y.C. Lin, A focused view of the behavior of granular flows down a confined inclined chute into horizontal run-out zone. Phys. Fluids 20, 123302 (2008)CrossRef Y.C. Tai, Y.C. Lin, A focused view of the behavior of granular flows down a confined inclined chute into horizontal run-out zone. Phys. Fluids 20, 123302 (2008)CrossRef
3.
go back to reference Y.C. Tai, C.Y. Kuo, A new model of granular flows over general topography with erosion and deposition. Acta Mech. 199, 71–96 (2008)CrossRef Y.C. Tai, C.Y. Kuo, A new model of granular flows over general topography with erosion and deposition. Acta Mech. 199, 71–96 (2008)CrossRef
4.
go back to reference F. Bouchut, Nonlinear Stability of Finite Volume Methods for Hyperbolic Conservation Laws and Well-Balanced Schemes for Sources (Birkhäuser Verlag, Basal Boston Berlin, 2004) F. Bouchut, Nonlinear Stability of Finite Volume Methods for Hyperbolic Conservation Laws and Well-Balanced Schemes for Sources (Birkhäuser Verlag, Basal Boston Berlin, 2004)
5.
go back to reference S. Noelle, N. Pankratz, G. Puppo, J. Natvig, Well-balanced finite volume schemes of arbitrary order of accuracy for shallow water flows. J. Comput. Phys. 213(2), 474–499 (2006)CrossRef S. Noelle, N. Pankratz, G. Puppo, J. Natvig, Well-balanced finite volume schemes of arbitrary order of accuracy for shallow water flows. J. Comput. Phys. 213(2), 474–499 (2006)CrossRef
6.
go back to reference S.P. Pudasaini, K. Hutter, S.S. Tai, Y. Wang, R. Katzenbach, Rapid flow of dry granular materials down inclined chutes inpinging on rigid walls. Phys. Fluids 19, 053302 (2007)CrossRef S.P. Pudasaini, K. Hutter, S.S. Tai, Y. Wang, R. Katzenbach, Rapid flow of dry granular materials down inclined chutes inpinging on rigid walls. Phys. Fluids 19, 053302 (2007)CrossRef
7.
go back to reference J. Smid, S.S. Hsiau, W.D. Tu, C.H. Lin, S.M. Ma, Shear device for measurement of wall friction in designing granular moving bed filters. Adv. Powder Technol. 17, 49 (2006)CrossRef J. Smid, S.S. Hsiau, W.D. Tu, C.H. Lin, S.M. Ma, Shear device for measurement of wall friction in designing granular moving bed filters. Adv. Powder Technol. 17, 49 (2006)CrossRef
8.
go back to reference S.B. Savage, Gravity flow of cohesionless granular materials in chutes and channels. J. Fluid Mech. 92(01), 53–96 (1979)CrossRef S.B. Savage, Gravity flow of cohesionless granular materials in chutes and channels. J. Fluid Mech. 92(01), 53–96 (1979)CrossRef
9.
go back to reference J.M.N.T. Gray, Y.C. Tai, S. Noelle, Shock waves, dead-zones and particle-free regions in rapid granular free surface flows. J. Fluid Mech. 491, 161–181 (2003)CrossRef J.M.N.T. Gray, Y.C. Tai, S. Noelle, Shock waves, dead-zones and particle-free regions in rapid granular free surface flows. J. Fluid Mech. 491, 161–181 (2003)CrossRef
10.
go back to reference R.M. Iverson, R.P. Denlinger, Flow of variably fluidised granular massesacross three-dimensional terrain. I: Coulomb mixture theory. J. Geophys. Res. 106, 537–552 (2001) R.M. Iverson, R.P. Denlinger, Flow of variably fluidised granular massesacross three-dimensional terrain. I: Coulomb mixture theory. J. Geophys. Res. 106, 537–552 (2001)
11.
go back to reference E.B. Pitman, L. Le, A two-fluid model for avalanche and debris flows. Phil. Trans. R. Soc. Lond. A 363, 1573–1601 (2005)CrossRef E.B. Pitman, L. Le, A two-fluid model for avalanche and debris flows. Phil. Trans. R. Soc. Lond. A 363, 1573–1601 (2005)CrossRef
12.
go back to reference K. Hutter, T. Koch, Motion of a granular avalanche in an exponentially curved chute: experiments and theoretical predictions. Phil. Trans. R. Soc. A 334, 93–138 (1991)CrossRef K. Hutter, T. Koch, Motion of a granular avalanche in an exponentially curved chute: experiments and theoretical predictions. Phil. Trans. R. Soc. A 334, 93–138 (1991)CrossRef
13.
go back to reference R. Greve, K. Hutter, Motion of a granular avalanche in a convex and concave curved chute: experiments and theoretical predictions. Phil. Trans. R. Soc. A 342, 573–600 (1993)CrossRef R. Greve, K. Hutter, Motion of a granular avalanche in a convex and concave curved chute: experiments and theoretical predictions. Phil. Trans. R. Soc. A 342, 573–600 (1993)CrossRef
14.
go back to reference O. Pouliquen, Y. Forterre, Friction law for dense granular flows: appication to the motion of a mass down a rough inclined plane. J. Fluid Mech. 453, 133–151 (2002) O. Pouliquen, Y. Forterre, Friction law for dense granular flows: appication to the motion of a mass down a rough inclined plane. J. Fluid Mech. 453, 133–151 (2002)
Metadata
Title
Numerical Tests and Simulations of Granular Avalanches
Authors
Ioana Luca
Yih-Chin Tai
Chih-Yu Kuo
Copyright Year
2016
DOI
https://doi.org/10.1007/978-3-319-02627-5_8