Dam break with Coulomb friction: A model for granular slumping?

Physics of Fluids

Volumn 17, Issue 5, 2005, Pages 1-16

  Kerswell, R R ^a  

^a UNIVERSITY OF BRISTOL   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; COMPUTATIONAL METHODS; GRANULAR MATERIALS; PARTICLES (PARTICULATE MATTER); PROBLEM SOLVING; SIZE DETERMINATION;

COULOMB FRICTION; DAM-BREAK PROBLEMS; GRANULAR SLUMPING; SHALLOW LAYER APPROXIMATION;

FRICTION;

DAM FAILURE; SLUMPING;

EID: 20444373372     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1870592     Document Type: Article

References (20)

1. H. M. Jaeger, S. R. Nagel, and R. P. Behringer, "Granular solids, liquids and gases," Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/ RevModPhys.68.1259 68, 1259 (1996).
2. P. G. de Gennes, "Granular matter: A tentative view," Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.71.S374 71, S374 (1999).
3. J. Rajchenbach, "Granular flows," Adv. Phys. ADPHAH 0001-8732 10.1080/000187300243372 49, 229 (2000).
4. I. Goldhirsch, "Rapid granular flows," Annu. Rev. Fluid Mech. ARVFA3 0066-4189 10.1146/annurev.fluid.35.101101.161114 35, 267 (2003).
5. S. B. Savage and K. Hutter, "The motion of a finite mass of granular material down a rough incline," J. Fluid Mech. JFLSA7 0022-1120 199, 177 (1989).
6. P. C. Johnson, P. Nott, and R. Jackson, "Frictional-collisional equations of motion for particulate flows and their application to chutes," J. Fluid Mech. JFLSA7 0022-1120 210, 501 (1990).
7. K. G. Anderson and R. Jackson, "A comparison of the solutions of some proposed equations of motion of granular materials for fully developed flow down inclined planes," J. Fluid Mech. JFLSA7 0022-1120 92, 145 (1992).
8. O. Pouliquen, "Scaling laws in granular flows down rough inclined planes," Phys. Fluids PHFLE6 1070-6631 10.1063/1.869928 11, 542 (1999).
9. R. M. Iverson and R. P. Denlinger, "Flow of variably fluidized granular masses across three-dimensional terrain: Part I: Coulomb mixture theory," J. Geophys. Res. JGREA2 0148-0227 106, 537 (2001).
10. O. Pouliquen and Y. Forterre, "Friction law for dense granular flows: Application to the motion of a mass down a rough inclined plane," J. Fluid Mech. JFLSA7 0022-1120 453, 1333 (2002).
11. G. Lube, H. E. Huppert, R. S. J. Sparks, and M. A. Hallworth, "Axisymmetric collapses of granular columns," J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112004009036 508, 175 (2004).
12. E. Lajeunesse, A. Mangeney-Castelnau, and J. P. Vilotte, "Spreading of a granular mass on a horizontal plane," Phys. Fluids PHFLE6 1070-6631 10.1063/1.1736611 16, 2371 (2004).
13. N. J. Balmforth and R. R. Kerswell, "Granular collapse in two dimensions," J. Fluid Mech. JFLSA7 0022-1120 (in press).
14. A. Mangeney, P. Heinrich, and R. Roche, "Analytical solution for testing debris avalanche numerical models," Pure Appl. Geophys. PAGYAV 0033-4553 10.1007/s000240050018 157, 1081 (2000).
15. A. J. Hogg and D. Pritchard, "The effects of hydraulic resistance on dam-break and other shallow inertial flows," J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112003007468 501, 179 (2004).
16. A. Mangeney-Castelnau, F. Bouchet, E. Lajeunesse, A. Aubertin, and J. P. Vilotte, "On the use of Saint-Venant equations for simulating the spreading of a granular mass," J. Geophys. Res. JGREA2 0148-0227 (in press).
17. B. Riemann, "Über die Fortpflanzung ebener Luftwellen von endlicher Schwingungsweite," Abhandlungen der Gesellschaft der Wissenschaften zu Göttingen, Mathematisch-phyikalische Klasse 8, 43 (1860).
18. P. R. Garabedian, Partial Differential Equations (Wiley, New York, 1964).
19. R. Courant and K. O. Friedrichs, Supersonic Flow and Shock Waves (Interscience, Baltimore, MA, 1948).
20. A. Ritter, "Die Fortpflanzung der Wasserwellen," Z. Vereines Deutsch. Ing. 36, 947 (1892).