The early stages of shallow flows in an inclined flume

Journal of Fluid Mechanics

Volumn 633, Issue , 2009, Pages 285-309

  Antuono, Matteo ^a   Hogg, Andrew J ^b   Brocchini, Maurizio ^c  

^a UNIVERSITY OF GENOA   (Italy)

^b UNIVERSITY OF BRISTOL   (United Kingdom)

^c UNIVERSITÀ POLITECNICA DELLE MARCHE   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EQUATIONS OF MOTION; KINEMATICS;

CONSERVATION OF MASS; DISCONTINUOUS SOLUTIONS; METHOD OF CHARACTERISTICS; NON-LINEAR SHALLOW WATER EQUATIONS; NUMERICAL ALGORITHMS; PHYSICAL SCENARIO; SHALLOW WATER EQUATIONS; TWO-DIMENSIONAL FLOW;

NONLINEAR EQUATIONS;

ALGORITHM; COMPUTATIONAL FLUID DYNAMICS; FLOW MODELING; FLOW VELOCITY; FLUME EXPERIMENT; HYDRAULIC HEAD; MOMENTUM TRANSFER; NONLINEARITY; SHALLOW-WATER EQUATION; TWO-DIMENSIONAL FLOW;

EID: 69649091261     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112009007034     Document Type: Article

References (18)

1. ANCEY, C., IVERSON, R. M., RENTSCHLER, M. & DENLINGER, R. P. 2008 An exact solution for ideal dam-break floods on steep slopes. Water Resour. Res. 44, W01430. doi:10.1029/2007WR006353.
2. ARMENIO, V. & ROCCA, M. L. 1996 On the analysis of sloshing of water in rectangular containers: Numerical study and experimental validation. Ocean Engng 8, 705-739.
3. CARRIER, G. F. & GREENSPAN, H. P. 1958 Water waves of finite amplitude on a sloping beach. J. Fluid Mech. 4, 97-109.
4. FALTINSEN, O. M., LANDRINI, M. & GRECO, M. 2004 Slamming in marine applications. J. Engng Math 48, 187-217.
5. GARABEDIAN, P. R. 1986 Partial Differential Equations. Chelsea Publishing.
6. GREENSPAN, H. P. 1958 On the breaking of water waves of finite amplitude on a sloping beach. J. Fluid Mech. 4, 330-334.
7. HOGG, A. J. 2006 Lock-release gravity currents and dam-break flows. J. Fluid Mech. 569, 61-87.
8. HUANG, Z. & HSIUNG, C. 1996 Nonlinear shallow-water flow on deck. J. Ship Res. 40, 303-315.
9. KERSWELL, R. R. 2005 Dam break with Coulomb friction: A model for granular slumping? Phys. Fluids 17, 057101(1-16).
10. LEE, T., ZHOU, Z. & CAO, Y. 2002 Numerical simulations of hydraulic jumps in water sloshing and water impacting. J. Fluids Engng 124, 215-226.
11. LEVEQUE, R. J. 2002 Finite Volume Methods for Hyperbolic Problems, 558 pp. Cambridge.
12. PEREGRINE, D. H. 1972 Equations for water waves and the approximations behind them. In Waves on Beaches and Resulting Sediment Transport (ed. R. Meyer), chapter 3, pp. 95-421. Academic Press.
13. PEREGRINE, D. H. & WILLIAMS, S. M. 2001 Swash overtopping a truncated plane beach. J. Fluid Mech. 440, 391-399.
14. PRITCHARD, D., GUARD, P. A. & BALDOCK, T. E. 2008 An analytical model for bore-driven run-up. J. Fluid Mech. 610, 183-193.
15. SHEN, M. C. & MEYER, R. E. 1963 Climb of a bore on a beach. Part 3. Run-up. J. Fluid Mech. 16, 113-125.
16. VERHAGEN, J. H. G. & VAN WIJNGAARDEN, L. 1965 nonlinear oscillations of fluid in a container. J. Fluid Mech. 22, 737-751.
17. WHITHAM, G. B. 1974 Linear and Nonlinear Waves, 636 pp. Wiley.
18. ZOPPOU, C. & ROBERTS, S. 2003 Explicit schemes for dam-break simulations. J. Hydr. Engng 129, 11-34.