Two-dimensional numerical modeling of dam-break flows over natural terrain using a central explicit scheme

Advances in Water Resources

Volumn 34, Issue 10, 2011, Pages 1366-1375

  Singh, Jaswant ^a   Altinakar, Mustafa S ^a   Ding, Yan ^a  

^a The University of Mississippi   (United States)

Author keywords

Central upwind schemes; Dam break flows; Flood simulations; Malpasset dam break event; Shallow water equations

Indexed keywords

CENTRAL-UPWIND SCHEME; DAM BREAK FLOWS; FLOOD SIMULATIONS; MALPASSET DAM BREAK EVENT; SHALLOW WATER EQUATIONS;

BENCHMARKING; EQUATIONS OF MOTION; NUMERICAL METHODS; TWO DIMENSIONAL;

DAMS;

BENCHMARKING; COMPUTER SIMULATION; DAM FAILURE; DISCHARGE; EULER FLOW; FLOODING; FLOW MEASUREMENT; MODEL VALIDATION; NUMERICAL MODEL; SHALLOW-WATER EQUATION; TERRAIN; TWO-DIMENSIONAL MODELING;

FRANCE;

EID: 80052837217     PISSN: 03091708     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.advwatres.2011.07.007     Document Type: Article

References (21)

1. Altinakar MS, Miglio E, Wu W. Coupling 1D-2D shallow water models for simulating floods due to overtopping and breaching of levees. In: Proceedings of the 8th world congress on computational mechanics, WCCM8, Venice, Italy; June 30-July 5, 2008.
2. Caleffi V., Valiani A., Zanni A. Finite volume method for simulating extreme flood events in natural channels. IAHR J Hydraul Res 2003, 41(2):167-277.
3. Valiani A., Caleffi V., Zanni A. Case study: Malpasset dam-break simulation using two-dimensional finite volume method. J Hydraul Eng 2002, 128:460-472.
4. Ying X, Wang SSY, Khan AK. Numerical simulation of flood inundation due to dam and levee breach. In: Proceedings of ASCE world water and environmental resources congress, Philadelphia, USA; 2003.
5. Brufau P., Vazquez-Cendon M.E., Garcia-Navarro P. A numerical model for flooding and drying of irregular domains. Int J Numer Methods Fluids 2002, 39:247-275.
6. Zhou J.G., Causon D.M., Mingham C.G., Ingram D.M. Surface gradient method for treatment of source terms in the shallow-water equations. J Comput Phys 2001, 168:1-25.
7. Brufau P., Garcia-Navarro P., Vazquez-Cendon M.E. Zero mass error using unsteady wetting-drying conditions in shallow flows over dry irregular topography. Int J Numer Methods Fluids 2004, 45:1047-1082.
8. Toro E.F. Shock-capturing methods for free-surface shallow flows 2001, Wiley, New York.
9. LeVeque R.J. Balancing source terms and flux gradients in high resolution Godunov methods: the quasi-steady wave-propagation algorithm. J Comput Phys 1998, 146:346-365.
10. Kurganov A., Levy D. Central-upwind scheme for the Saint-Venant system. M2AN Math Model Numer Anal 2002, 36:397-425.
11. Noelle S., Pankratz N., Puppo G., Natvig J. Well-balanced finite volume scheme for arbitrary order of accuracy for shallow water flows. J Comput Phys 2006, 213:474-499.
12. Kurganov A., Petrova G. A second order well balanced positivity preserving central upwind scheme for the Saint-Venant system. Commun Math Sci 2007, 133(5(1)):133-160.
13. Goutal N, Maurel F, editors. Proceedings of the 2nd workshop on dam-break wave simulation, HE-43/97/016/B, France; 1997.
14. Vazquez-Cendon M.E. Improved treatment of source terms in upwind schemes for the shallow water equations. J Comput Phys 1999, 148:497-526.
15. Hubbard M., Garcia-Navarro P. Flux difference splitting and the balancing of source terms and flux gradients. J Comput Phys 2000, 165:89-125.
16. Xu K. A well-balanced gas-kinetic scheme for the shallow water equations with source terms. J Comput Phys 2002, 178:533-562.
17. Delis A.I. Improved application of the HLL Riemann solver for the shallow water equations with source terms. Commun Numer Methods Eng 2006, 19:59-83.
18. Rogers B.D., Borthwick A.G.L., Taylor P.H. Mathematical balancing of flux gradient and source terms prior to using Roe's approximate Riemann solver. J Comput Phys 2003, 192:422-451.
19. Delis A.I., Katsaounis Th. Relaxation schemes for the shallow water equations. Int J Numer Methods Fluids 2003, 41:695-719.
20. Liang Q., Marche F. Numerical resolution of well-balanced shallow water equations with complex source terms. Adv Water Res 2009, 32:873-884.
21. Fraccarollo L., Toro E.F. Experimental and numerical assessment of the shallow water model for two-dimensional dam-break type problems. J Hydraul Res 1995, 33:843-864.