Computing nonhydrostatic shallow-water flow over steep terrain

Journal of Hydraulic Engineering

Volumn 134, Issue 11, 2008, Pages 1590-1602

  Denlinger, Roger P ^a   O'Connell, Daniel R H ^b,c  

^a U S GEOLOGICAL SURVEY   (United States)

^b William Lettis and Associates Inc   (United States)

^c U S BUREAU OF RECLAMATION   (United States)

Author keywords

Dam failure; Floods; Hazards; Shallow water; Terrain

Indexed keywords

CHANNEL FLOW; DEWATERING; FLOW OF WATER; HYDRAULICS; HYDROSTATIC PRESSURE;

ACCURATE PREDICTIONS; ANALYTICAL SOLUTIONS; APPROXIMATE RIEMANN SOLVERS; BED FRICTIONS; BED ROUGHNESSES; COMPUTING; CONSERVATION EQUATIONS; DAM FAILURE; DRYING CONDITIONS; FINITE VOLUME APPROACHES; FLOW DEPTHS; FRONT PROPAGATIONS; GENTLE SLOPES; GRANULAR FLOW MODELS; NON-HYDROSTATIC PRESSURES; NONHYDROSTATIC; ORDERS OF MAGNITUDES; SHALLOW WATER; TERRAIN; WATER FLOWS; WATER MODELS;

FLOW SIMULATION;

BED ROUGHNESS; COMPLEX TERRAIN; DAM FAILURE; FINITE VOLUME METHOD; FLOOD; FLOW MODELING; SHALLOW WATER;

EID: 54249130700     PISSN: 07339429     EISSN: None     Source Type: Journal    
DOI: 10.1061/(ASCE)0733-9429(2008)134:11(1590)     Document Type: Article

References (32)

1. Bradford, S. F., and Sanders, B. F. (2002). "Finite volume model for shallow water flooding of arbitrary topography." J. Hydraul. Eng. JHEND80733-942910.1061/(ASCE)0733-9429(2002)128:3(289), 128(3), 289-298.
2. Brakenridge, G. R., Anderson, E., and Caquard, S. (2003). "Flood inundation map DFO 2003-282." Dartmouth Flood Observatory, Hanover, N.H.
3. Brufau, P., Garcia-Navarro, P., and Vazquez-Cendon, M. E. (2004). "Zero mass error using unsteady wetting-drying conditions in shallow flows over dry irregular topography." Int. J. Numer. Methods FluidsIJNFDW0271-209110.1002/fld.729, 45(10), 1047-1082.
4. Denlinger, R. P., and Iverson, R. M. (2001). "Flow of variably fluidized granular masses across three-dimensional terrain. 1: Coulomb mixture theory." J. Geophys. Res. JGREA20148-0227, 106, 537-552.
5. Denlinger, R. P., and Iverson, R. M. (2004). "Granular avalanches across irregular three-dimensional terrain. 1: Theory and computation." J. Geophys. Res.JGREA20148-0227, 109(F0104).
6. Einfeldt, B. (1988). "On Godunov type methods for gas dynamics." SIAM (Soc. Ind. Appl. Math.) J. Numer. Anal.SJNAAM0036-142910.1137/0725021, 25, 294-318.
7. Garcia-Navarro, P., and Vazquez-Cendon, M. E. (2000). "On numerical treatment of the source terms in the shallow water equations." Comput. FluidsCPFLBI0045-793010.1016/S0045-7930(99)00038-9, 29, 951-979.
8. George, D. L. (2004). "Numerical approximation of the nonlinear shallow water equations with topography and dry beds: A Godunov-type scheme." MS thesis, Univ. of Washington, Seattle.
9. George, D. L. (2006). "Finite volume methods and adaptive refinement for tsunami propagation and inundation." Ph.D. thesis, Univ. of Washington, Seattle.
10. Goutal, N. (1999). "Presentation of 1D and 2D simulations of Malpasset dam break wave propagation." Proc. of the 4th CADAM Meeting, Zaragosa, Spain, 119-130.
11. Gray, J. M. N. T., Wieland, M., and Hutter, K. (1999). "Gravity driven free surface flow of granular avalanches over complex basal topography." Proc. R. Soc. London, Ser. A PRLAAZ1364-502110.1098/ rspa.1999.0383, 455, 1841-1874.
12. Henderson, F. M. (1966). Open channel flow, Prentice-Hall, Upper Saddle River, N.J.
13. Iverson, R. M. (2003). "The debris-flow rheology myth." Debris-flow hazard mitigation: Mechanics, prediction, and assessment, D. Rickenman and C.-L. Chen, eds., Millpress, Rotterdam, 303-314.
14. Iverson, R. M. (2005). "Debris-flow mechanics." Debris flow hazards and related phenomena, M. Jakob and O. Hungr, eds., Springer, Berlin, 105-134.
15. Iverson, R. M., Costa, J. E., and LaHusen, R. G. (1992). "Debris-flow flume at H. J. Andrews Experimental Forest, Oregon." U.S. Geological Survey Open File Rep. No. 92-483.
16. Leveque, R. L. (1998). "Balancing source terms and flux gradients in high resolution Godunov methods: The quasi-steady wave propagation algorithm." J. Comput. Phys. JCTPAH0021-999110.1006/jcph.1998.6058, 146, 346-365.
17. Leveque, R. L. (2002). Finite volume methods for hyperbolic problems, 1st Ed., Cambridge Univ. Press, New York.
18. Logan, M., and Iverson, R. M. (2007). "Video footage of experiments at the USGS debris-flow flume, 1992-2206." Interior, ed., U.S. Geological Survey.
19. Mangeney, A., Heinrich, P., and Roche, P. (2000). "Analytical solution for testing debris avalanche numerical models." Pure Appl. Geophys. PAGYAV0033-455310.1007/s000240050018, 157, 1081-1096.
20. Naff, D. F. (1996). "Extension of the 2-dimensional shallow water approach using moment equations." Proc., 2nd Int. Conf. on Hydroinformatics, 703-710.
21. Pope, S. B. (2000). Turbulent flows, 1st Ed., Cambridge Univ. Press, New York.
22. Rahman, S., and Webster, D. R. (2005). "The effect of bed roughness on scalar fluctuations in turbulent boundary layers." Exp. FluidsEXFLDU0723-486410.1007/s00348-004-0919-7, 38, 372-384.
23. Schlichting, H. (1979). Boundary layer theory, 7th Ed., McGraw-Hill, New York.
24. Soares Frazao, S., Alcrudo, F., and Goutal, N. (1999). "Dam-break test cases summary." Proc., of the 4th CADAM Workshop, Zaragosa, Spain, 9-26.
25. Soares Frazao, S., and Zech, Y. (1999). "2D and 1D modelling of the Malpasset dambreak test case." Proc. of the 4th CADAM Workshop, Zaragosa, Spain.
26. Steffler, P. M., and Jin, Y.-C. (1993). "Depth averaged and moment equations for moderately shallow free surface flow." J. Hydraul. Res. JHYRAF0022-1686, 31(1), 5-17.
27. Toro, E. F. (1997). Riemann solvers and numerical methods in fluid dynamics, 1st Ed., Springer, New York.
28. Valiani, A., Caleffi, V., and Zanni, A. (2002). "Case study: Malpasset dam-break simulation using a two-dimensional finite volume method." J. Hydraul. Eng. JHEND80733-942910.1061/ (ASCE)0733-9429(2002)128:5(460), 128(5), 460-472.
29. Vreugdenhil, C. B. (1994). Numerical methods for shallow water flows, Kluwer Academic, Norwell, Mass.
30. Walters, R. A. (2005). "A semi-implicit finite element model for non-hydrostatic (dispersive) surface waves." Int. J. Numer. Methods Fluids IJNFDW0271-2091, 49, 721-737.
31. Waterways Experimental Station (WES). (1960). "Floods resulting from suddenly breached dams." Rep. 1: Conditions of Minimum Resistance, Miscellaneous Paper No. 2-374, U.S. Army Corps of Engineers, Vicksburg, Miss.
32. Zhao, D. H., Shen, H. W., Tabios, G. Q., Lai, J. S., and Tan, W. Y. (1994). "Finite volume two dimensional unsteady flow model for river basins." J. Hydraul. Eng. JHEND80733-942910.1061/ (ASCE)0733-9429(1994)120:7(863), 120(7), 863-883.