Two-dimensional mathematical and numerical model for the dynamics of granular avalanches

Cold Regions Science and Technology

Volumn 43, Issue 1-2, 2005, Pages 36-48

  De Toni, Stefano ^a   Scotton, Paolo ^a  

^a UNIVERSITY OF TRENTO   (Italy)

Author keywords

Granular material; Numerical simulation; Savage Hutter rheology; Snow avalanche dynamics

Indexed keywords

COMPUTER SIMULATION; CONTINUUM MECHANICS; DYNAMICS; FRICTION; GRANULAR MATERIALS; HYDROSTATIC PRESSURE; MATHEMATICAL MODELS; RHEOLOGY; TENSORS;

INCOMPRESSIBLE COHESIONLESS CONTINUUM; SAVAGE-HUTTER RHEOLOGY; SNOW AVALANCHE DYNAMICS;

AVALANCHES (SNOWSLIDES);

AVALANCHE; GRANULAR MEDIUM; NUMERICAL MODEL;

EID: 27744477033     PISSN: 0165232X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.coldregions.2005.05.002     Document Type: Article

References (25)

1. M. Barberi P. Scotton Avalanche risk analysis and management in Mite Valley (Val di Sole, Italy) Final Proceedings Internationales Symposion Interpraevent 2004, Riva/Trient (Italy) vol. VI 2004 1-12
2. E. Bertolazzi G. Manzini Algorithm 817 P2MESH: Generic object-oriented interface between 2-D unstructured meshes and FEM/FVM-based PDE solvers ACM Trans. Math. Softw. 28 1 2002 101-132
3. D'Accordi, M., 1999. Studio di un sito valanghivo: Dati di campo e modellazione numerica. Degree Thesis in Environmental and Land Engineering, Faculty of Engineering, University of Trento, Italy.
4. De Toni, S., Scotton, P., Bertolazzi, E., 2004. Modello matematico e numerico bidimensionale per lo studio delle valanghe di neve densa. Quaderni del Dipartimento, IDR 2, Department of Civil and Environmental Engineering, University of Trento, Italy. http://www.ing.unitn.it/dica/tools/download/Quaderni/IDR_2.pdf.
5. G.A. Dilts Moving least squares particle hydrodynamics. I. Consistency and stability Internat. J. Numer. Methods Eng. 44 1999 1115-1155
6. G.A. Dilts Moving least squares particle hydrodynamics. II. Conservation and boundaries Internat. J. Numer. Methods Eng. 48 2000 1503-1524
7. J.M.N.T. Gray M. Wieland K. Hutter Gravity driven free surface flow of granular avalanches over complex basal topography Proc. R. Soc. Lond. 342 1993 573-600
8. O. Hungr N.R. Morgenstern Experiments on the flow behaviour of granular materials at high velocity in an open channel Geotechnique 34 3 1984 405-413
9. K. Hutter M. Siegel S.B. Savage Y. Nohguchi Two dimensional spreading of a granular avalanche down an inclined plane: Part I. Theory Acta Mech. 100 1993 37-68
10. D. Issler Experimental information on the dynamics of dry-snow avalanches In: K. Hutter N. Kirkhner (Eds.) Dynamic response of granular and porous materials under large and catastrophic deformations Lecture Notes in Applied and Computational Mechanics vol. 11 2003 Springer Heidelberg 109-160
11. G.R. Johnson S.R. Beissel Normalized smoothing functions for SPH impact computations Internat. J. Numer. Methods Eng. 39 1996 2725-2741
12. G.R. Liu Mesh Free Methods: Moving Beyond the Finite Element Method 2002 CRC Press LLC U.S.A.
13. D. McClung P. Schaerer Manuale delle Valanghe 1996 Zanichelli Editore
14. Musner, L., 2003. Applicazione dei metodi numerici meshless allo studio monodimensionale delle valanghe di neve densa. Degree Thesis in Environmental and Land Engineering, Faculty of Engineering, University of Trento, Italy.
15. S.P. Pudasaini K. Hutter Rapid shear flows of dry granular masses down curved and twisted channels J. Fluid Mech. 495 2003 193-208
16. P.W. Randles L.D. Libersky Smoothed particle hydrodynamics: Some recent improvements and applications Comput. Methods Appl. Mech. Eng. 139 1996 375-408
17. S.B. Savage K. Hutter The motion of a finite mass of granular material down a rough incline J. Fluid Mech. 199 1989 177-215
18. P. Scotton Alcune sperimentazioni sulla dinamica di ammassi granulari lungo piani a forte pendenza Atti del Convegno di Idraulica e Costruzioni Idrauliche: 1. Dipartimento di Difesa del Suolo 1990 University of Calabria 223-234
19. Scotton, P., 1999. Studio di fenomeni valanghivi della Val dei Spini, Comune di Pejo, Relazione finale. Technical report, Contract between University of Trento and Regional Council of Trento n. 3579/97-C33-N.
20. J.G. Simmonds A Brief on Tensor Analysis 1982 Springer Verlag
21. B. Sovilla P. Bartelt Observations and modelling of snow avalanche entrainment Nat. Hazard Earth Syst. Sci. 2 2002 169-179
22. S. Stoer R. Burlisch Introduction to Numerical Analysis 1983 Springer Verlag
23. J.P. Vila On particle weighted methods and smooth particle hydrodynamics Mathematical Models and Methods in Applied Sciences vol. 9 (2) 1999 161-209
24. M. Wieland J.M.N.T. Gray K. Hutter Channelized free-surface flow of cohesionless granular avalanches in a chute with shallow lateral curvature J. Fluid Mech. 392 1999 73-100
25. T. Zwinger A. Kluwick P. Sampl Numerical simulation of dry snow avalanche flow over natural terrain In: K. Hutter N. Kirkhner (Eds.) Dynamic response of granular and porous materials under large and catastrophic deformations Lecture Notes in Applied and Computational Mechanics vol. 11 2003 Springer Heidelberg 109-160