On new erosion models of Savage-Hutter type for avalanches

Acta Mechanica

Volumn 199, Issue 1-4, 2008, Pages 181-208

  Bouchut, F ^a   Fernandez Nieto E D ^b   Mangeney, A ^c,d   Lagree P Y ^e  

^a ECOLE NORMALE SUPÉRIEURE   (France)

^b UNIVERSITY OF SEVILLE   (Spain)

^c INSTITUT DE PHYSIQUE DU GLOBE DE PARIS   (France)

^d UNIVERSITY OF CALIFORNIA   (United States)

^e INSTITUT JEAN LE ROND D ALEMBERT   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; ENERGY DISSIPATION;

APPROXIMATE SOLUTION; CONSTANT VELOCITIES; DEPTH INTEGRATED; ENERGY EQUATION; INCOMPRESSIBLE EULER EQUATIONS; MOVING INTERFACE; QUASI-STATIONARY; STEADY STATE SOLUTION;

EULER EQUATIONS;

EID: 50649103737     PISSN: 00015970     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00707-007-0534-9     Document Type: Article

References (19)

1. Aradian, A.: Quelques problèmes d'interface mole. Ph.D. Thesis Paris VI (2001)
2. Aradian A., Raphael E. and Gennes P.-G. (2002). Surface flow of granular materials: a short introduction to some recent models. C. R. Phys. 3: 187-196
3. Aranson I.S. and Tsimring L.S. (2002). Continuum theory of partially fluidized granular flows. Phys. Rev. E. 65: 061303
4. Bouchut F., Mangeney-Castelnau A., Perthame B. and 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 Ser I 336: 531-536
5. Bouchut F. and Westdickenberg M. (2004). Gravity driven shallow water model for arbitrary topography. Commun. Math. Sci. 2(3): 359-389
6. Bouchaud J.P., Cates M.E., Prakash J.R. and Edwards S.F. (1994). A model for the dynamics of sandpile surface. J. Phys. Paris I 4: 1383-1410
7. Boutreux T., Raphael E. and DeGennes P.G. (1998). Surface flows of granular materials: a modified picture for thick avalanches. Phys. Rev. E 58: 4692-4700
8. Douady S., Andreotti B. and Daerr A. (1999). On granular surface flow equations. Eur. Phys. J. B. 11: 131-142
9. Gray J.M.N.T. (2001). Granular flow in partially filled slowly rotating drums. J. Fluid Mech. 441: 1-29
10. Khakhar D.V., Orpe A.V., Andresén P. and Ottino J.M. (2001). Surface flow of granular materials: model and experiments in heap formation. J. Fluid Mech. 441: 225-264
11. Khakhar D.V. and Orpe A.V. (2001). Surface granular flows: two related examples. Adv. Complex Syst. 4(4): 407-417
12. Landau L.D. and Lifshitz E.M. (1980). Statistical Physics. Pargamon Press, New York
13. Mangeney-Castelnau A., Bouchut F., Vilotte J.-P., Lajeunesse E., Aubertin A. and Pirulli M. (2005). On the use of Saint Venant equations to simulate the spreading of a granular mass. J. Geophys. Res. 110(B9): B09103
14. Mangeney, A., Bouchut, F., Thomas, N., Vilotte, J.-P., Bristeau, M.-O.: Numerical modeling of self-channeling granular flows and of their levee/channel deposits. J. Geophys. Res. (2007, in press)
15. Mangeney, A., Tsimring, L.S., Volfson, D., Aranson, I.S., Bouchut, F.: Avalanche mobility induced by the presence of an erodible bed and associated entrainment. Geophys. Res. Lett. (2007, in press)
16. Pudasaini S. and Hutter K. (2007). Avalanche Dynamics. Springer, Heidelberg, 602p
17. Savage S.B. and Hutter K. (1991). The dynamics of avalanches of granular materials from initiation to run-out. Acta Mech. 86: 201-223
18. Sovilla B., Burlando P. and Bartelt P. (2006). Field experiments and numerical modeling of mass entrainment in snow avalanches. J. Geophys. Res. 111: F03007
19. Wieland M., Gray J.M.N.T. and Hutter K. (1999). Channelized free-surface flow of cohesionless granular avalanches in a chute with shallow lateral curvature. J. Fluid Mech. 392: 73-100