Analysis of the Friction Term in the One-Dimensional Shallow-Water Model

Journal of Hydraulic Engineering

Volumn 133, Issue 9, 2007, Pages 1048-1063

  Burguete, J ^a   Garcia Navarro P ^b   Murillo, J ^b   Garcia Palacin I ^b  

^a CSIC   (Spain)

^b UNIVERSITY OF ZARAGOZA   (Spain)

Author keywords

Energy losses; Flow resistance; Friction; Hydrologic models; Numerical models; Open channel flow; Roughness; Shallow water

Indexed keywords

ENERGY DISSIPATION; FRICTION; OPEN CHANNEL FLOW; WATER RESOURCES; COMPUTER SIMULATION; CONVERGENCE OF NUMERICAL METHODS; MATHEMATICAL MODELS; SURFACE ROUGHNESS; UNSTEADY FLOW;

CONDITION; FLOW RESISTANCE; FRICTION TERM; HYDROLOGIC MODELS; MOMENTUM EQUATION; ONE-DIMENSIONAL; OPEN-CHANNEL FLOW; SHALLOW WATERS; SHALLOW-WATER MODELS; UNSTEADY OPEN CHANNEL FLOWS;

NUMERICAL MODELS; OPEN CHANNEL FLOW;

COURANT-FRIEDRICHS-LEWY CONDITION; GAUCKLER-MANNING FRICTION MODEL; MOMENTUM EQUATION; SHALLOW WATER;

COMPUTER SIMULATION; CONVERGENCE OF NUMERICAL METHODS; ENERGY DISSIPATION; FRICTION; MATHEMATICAL MODELS; OPEN CHANNEL FLOW; SURFACE ROUGHNESS; UNSTEADY FLOW;

BED ROUGHNESS; CHANNEL HYDRAULICS; FRICTION; HYDROLOGICAL MODELING; NUMERICAL MODEL; OPEN CHANNEL FLOW; SHALLOW WATER; SHALLOW-WATER EQUATION;

EID: 34548167816     PISSN: 07339429     EISSN: 19437900     Source Type: Journal    
DOI: 10.1061/(ASCE)0733-9429(2007)133:9(1048)     Document Type: Article

References (26)

1. Bathurst, J. C., Simons, D. B., and, Li, R. M. (1981). " Resistance equations for large-scale roughness." J. Hydr. Div. JYCEAJ 0044-796X, 107 (12), 1593-1613.
2. Bettess, R., and, White, W. R. (1987). " Extremal hypotheses applied to river regime." Sediment transport in gravel bed rivers, C. R. Thorne, J. C. Bathurst, and R. D. Hey., eds., Wiley, Chichester, 767-789.
3. Burguete, J., and, García-Navarro, P. (2001). " Efficient construction of high-resolution TVD conservative schemes for equations with source terms: Application to shallow-water flows." Int. J. Numer. Methods Fluids IJNFDW 0271-2091, 37 (2), 209-248. 10.1002/fld.175
4. Burguete, J., and, García-Navarro, P. (2004a). " Implicit schemes with large time step for nonlinear equations: Application to river flow hydraulics." Int. J. Numer. Methods Fluids IJNFDW 0271-2091, 46 (6), 607-636.
5. Burguete, J., and, García-Navarro, P. (2004b). " Improving simple explicit methods for unsteady open channel and river flow." Int. J. Numer. Methods Fluids IJNFDW 0271-2091, 45 (2), 125-156.
6. Cao, Z., Meng, J., Pender, G., and, Wallis, S. (2006). " Flow resistance and momentum flux in compound open channels." J. Hydraul. Eng. JHEND8 0733-9429, 132 (12), 1272-1282. 10.1061/(ASCE)0733-9429(2006)132:12(1272)
7. Chanson, H. (1999). The hydraulics of open channel flow, Arnold, London.
8. Chow, V. T. (1959). Open channel hydraulics, McGraw-Hill, New York.
9. Courant, R., Friedrichs, K. O., and, Lewy, H. (1928). " Über die partiellen differenzengleichungen der mathematischen physik." Math. Ann. MAANA3 0025-5831, 100 (1), 32-74. 10.1007/BF01448839
10. Cunge, J. A., Holly, F. M., Jr., and, Verwey, A. (1980). Practical aspects of computational river hydraulics, Pitman, London.
11. Darcy, H. P. G. (1858). Recherches expérimentales relatives aux mouvements de l'eau dans les tuyaux, Mémoires Présentées à l'Académie des Sciences, Paris.
12. de Saint-Venant, A. J. C. B. (1871). Théorie de mouvement non-permanent des eaux avec application aux crues de rivières et á l'introduction des marées dans leur lit, Comptes Rendues de l'Académie des Sciences, Paris.
13. García-Navarro, P., Playán, E., and, Zapata, N. (2000). " Solute transport modeling in overland flow applied to fertigation." Irrig. Drain. ZZZZZZ 1531-0353, 126 (1), 33-40.
14. Gauckler, P. G. (1867). Études théoriques et pratiques sur l'écoulement et le mouvement des eaux, Comptes Rendues de l'Académie des Sciences, Paris.
15. Jarrett, R. D. (1984). " Hydraulics of high-gradient streams." J. Hydraul. Eng. JHEND8 0733-9429, 110 (11), 1519-1539.
16. Kellerhals, R. (1967). " Stable channels with gravel-paved beds." J. Wtrwy. and Harb. Div. AWHCAR 0569-8103, 93 (1), 63-84.
17. Knight, D. W. (2004). " FCF Series." Flow Database at the Univ. of Birmingham, www.flowdata.bham.ac.uk »(Jan. 22, 2007).
18. Knight, D. W. (2006). " River flood-hydraulics: Validation issues in one-dimensional flood routing models." River basin modelling for flood risk mitigation, D. W. Knight and A. Y. Shamesildin., eds., Taylor & Francis, London.
19. Liggett, J. A., and, Cunge, J. A. (1977). " Numerical methods of solution of the unsteady flow equations." Unsteady flow in open channels, K. Mahmood and V. Yevjevich., eds., Water Resources, Fort Collins, Colo.
20. MacGahey, C., Samuels, P. G., and, Knight, D. W. (2006). " A practical approach to estimating the flow capacity of rivers-Application and analysis." Proc., River Flow 2006, Taylor & Francis, Lisboa.
21. Manning, R. (1890). " On the flow of water in open channels and pipes." Trans. Inst. Civil Engineers, 20, 161-207.
22. Shiono, K., Muto, Y., Knight, D. W., and, Hyde, A. F. L. (1999). " Energy losses due to secondary flow and turbulence in meandering channels with overbank flow." J. Hydraul. Res. JHYRAF 0022-1686, 37 (5), 641-664.
23. Smart, G. M. (1999). " Turbulent velocity profiles and boundary shear in gravel-bed rivers." J. Hydraul. Eng. JHEND8 0733-9429, 125 (2), 106-116. 10.1061/(ASCE)0733-9429(1999)125:2(106)
24. Smart, G. M., Duncan, M. J., and, Walsh, J. M. (2002). " Relatively rough flow resistance equations." J. Hydraul. Eng. JHEND8 0733-9429, 128 (6), 568-578. 10.1061/(ASCE)0733-9429(2002)128:6(568)
25. Strickler, A. (1923). Beiträge zur Frage der Geschwindigkeitsformel und der Rauhligkeitszahlen für Ströme, Kanäle und Geschlossene Leitungen, Mitt. des Eidgenössischen Amtes für Wasser-wirtschaft, Bern, Vol. 16.
26. White, F. M. (1991). Viscous fluid flow, McGraw-Hill, New York.