Analytical Solution to the Zero-Inertia Problem for Surge Flow Phenomena in Nonprismatic Channels

Journal of Hydraulic Engineering

Volumn 128, Issue 6, 2002, Pages 604-615

  Schmitz, G H ^a   Liedl, R ^b   Volker, R E ^c  

^a DRESDEN UNIVERSITY OF TECHNOLOGY   (Germany)

^b UNIVERSITY OF TÜBINGEN   (Germany)

^c UNIVERSITY OF QUEENSLAND   (Australia)

Author keywords

Channel flow; Computation; Germany; Surge

Indexed keywords

ANALYTICAL MODELS; DIFFERENTIAL EQUATIONS; DISASTERS; FAILURE (MECHANICAL); FLOODS; NUMERICAL MODELS; CALCULATIONS; COMPUTER SIMULATION; GEOMETRY;

COMPUTATIONAL DOMAINS; DAM FAILURE; FLASH-FLOODS; FLOW PHENOMENA; FREE-BOUNDARY PROBLEMS; GERMANY; NON-PRISMATIC; NUMERICAL SOLUTION; PHYSICAL PARAMETERS; SURGE;

HYDRODYNAMICS; DAMS;

NONPRISMATIC CHANNELS;

COMPUTATIONAL MODEL; DAM FAILURE; FLASH FLOOD; OPEN CHANNEL FLOW; SURGE;

ANALYTICAL METHOD; DAM FAILURE; FLASH FLOOD; OPEN CHANNEL FLOW;

GERMANY;

EID: 0036610367     PISSN: 07339429     EISSN: 19437900     Source Type: Journal    
DOI: 10.1061/(ASCE)0733-9429(2002)128:6(604)     Document Type: Article

References (12)

1. Aitken, A. C. (1926). On Bernoulli?s numerical solution of algebraic equations Proc. R. Soc. Edinburgh, 46, 289-305.
2. Henderson, F. M. (1966). Open channel flow, Macmillan, New York.
3. Jaynes, D. B. (1986). Simple model of border irrigation J. Irrig. Drain. Eng., 112(2), 172-184.
4. Katopodes, N. D., and Strelkoff, T. (1977). Hydrodynamics of borderirrigation: Complete model J. Irrig. Drain. Eng., 103(3), 309-324.
5. Press, W. H., Teukolsky, S. A., Vetterling, W. T., and Flannery, B. P. (1992). Numerical recipes, 2nd Ed., Cambridge University Press, Cambridge.
6. Schmitz, G. H. (1989). Stromungsvorgange auf der Oberflache und im Bodeninnern beim Bewasserungslandbau @Surface and subsurface flow processes during surface irrigation# Institut fur Wasserbau and Wassermengenwirtschaft und Versuchsanstalt fur Wasserbau, TU Munchen, Report 60 (in German).
7. Schmitz, G. H., Edenhofer, J., and Czirwitzky, H.-J. (1982). An analytical and numerical solution of Saint-Venant equations Symposium Int. Sur la Modelisation Fine des E coulements, Paris.
8. Schmitz, G. H., Haverkamp, R., and Palacios Velez, O. (1985). A coupled surface-subsurface model for shallow water flow over initially dry soil Proc., 21st Int. IAHR Congress, Melbourne, Vol. 1, 23-30.
9. Schmitz, G. H., and Seus, G. J. (1987). Analytical solution of simplified surge flow equations J. Irrig. Drain. Eng., 113(4), 605-610.
10. Schmitz, G. H., and Seus, G. J. (1990). Mathematical zero-inertia modeling of surface irrigation: Advance in borders J. Irrig. Drain. Eng., 116(5), 603-615.
11. Strelkoff, T., and Katopodes, N. D. (1977). Border-irrigation hydraulics with zero inertia J. Irrig. Drain. Eng., 103(3), 325-342.
12. Whitham, G. B. (1955). The effects of hydraulic resistance in the dambreak problem Proc. R. Soc. London, Ser. A, 227, 399-407.