Dam-break flow for arbitrary slopes of the bottom

Journal of Engineering Mathematics

Volumn 54, Issue 4, 2006, Pages 319-331

  Fernandez Feria, Ramon ^a  

^a UNIVERSITY OF MÁLAGA   (Spain)

Author keywords

Dam break problem; Method of characteristics; Similarity solution; Sloping channel

Indexed keywords

APPROXIMATION THEORY; CHANNEL FLOW; NUMERICAL METHODS; WATER;

DAM-BREAK FLOW; DAM-BREAK PROBLEM; SIMILARITY SOLUTION; SLOPING CHANNEL;

DAMS;

APPROXIMATION THEORY; CHANNEL FLOW; DAMS; NUMERICAL METHODS; WATER;

EID: 33745105047     PISSN: 00220833     EISSN: 15732703     Source Type: Journal    
DOI: 10.1007/s10665-006-9034-5     Document Type: Article

References (12)

1. Ritter A. (1892). Die Fortpflanzung der Wasserwellen. Z. Verein. Deutsch. Ing. 36:947-954
2. Stoker J.J. (1957). Water Waves. Interscience, New York, 567 pp.
3. Hunt B. (1983). Asymptotic solution for dam break on a sloping channel. J. Hydraul. Engng. 109:1698-1706
4. Hunt B. (1987). An inviscid dam-break solution. J. Hydraul. Res. 25:313-327
5. Keller J.B. (2003). Shallow-water theory for arbitrary slopes of the bottom. J. Fluid Mech. 489:345-348
6. Savage S.B. and Hutter K. (1991). The dynamics of avalanches of granular materials from initiation to run-out. Acta Mech. 86:201-223
7. Bouchut F., Mangeney-Castelnau A., Perthame B. and Vilotte J.P. (2003). A new model of Saint Venant and Savage-Hutter type for gravity driven shallow water flows. C. R. Acad. Sci. Paris, Ser. I 336:531-536
8. Thacker W.C. (1981). Some exact solutions to the nonlinear shallow-water wave equations. J. Fluid Mech. 107:499-508
9. P. Bohorquez and R. Fernandez-Feria, Transport of suspended sediment under the dam-break flow on an inclined bed of arbitrary slope. J. Hydraul. Res. (submitted).
10. Burguete J. and Garcia-Navarro P. (2001). Efficient construction of high-resolution TVD conservative schemes for equations with source terms: Application to shallow water flows. Int. J. Numer. Meth. Fluids 37:209-248
11. Barenblatt G.I. (1996). Scaling, Self-similarity, and Intermediate Asymptotics. Cambridge University Press, Cambridge, 386 pp.
12. Abramowitz M. and Stegun I.A. (1965). Handbook of Mathematical Functions. Dover, New York 1046 pp.