Application of the method of characteristics to the dam break wave problem

In dam break waves, the surge front is a sudden discontinuity characterized by extremely rapid variations of flow depth and velocity. In this study, simple analytical solutions for instantaneous dam break wave are developed using the method of characteristics. The solutions are obtained for initially dry horizontal and sloping channels with turbulent motion, and they are compared with several data sets obtained in large-size facilities.A main feature of the development is its simplicity that is well-suited to students and young professionals.

[1]  G. Whitham,et al.  The effects of hydraulic resistance in the dam-break problem , 1955, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[2]  I. E. Idel'cik.  Memento des Pertes de Charge , 1999 .

[3]  Bruce Hunt.  Perturbation Solution for Dam-Break Floods , 1984 .

[4]  G. Hetsroni.  Handbook of hydraulic resistance , 1990 .

[5]  Bruce Hunt,et al.  Asymptotic Solution for Dam-Break Problem , 1982 .

[6]  A. Mano.  Boundary Layer Developed Near Surging Front , 1994 .

[7]  D. H. Peregrine,et al.  Swash overtopping a truncated plane beach , 2001, Journal of Fluid Mechanics.

[8]  Larry J. Weber,et al.  The Hydraulics of Open Channel Flow: An Introduction , 2001 .

[9]  APPLICATION OF HIGH-SPEED DIGITAL IMAGE PROCESSING TO EXPERIMENTS ON DAM BREAK WAVES , 2000 .

[10]  李幼升,et al.  Ph , 1989 .

[11]  Hubert Chanson,et al.  Dam Break Wave of Thixotropic Fluid , 2006 .

[12]  Atle Jensen,et al.  An experimental study of wave run-up at a steep beach , 2003, Journal of Fluid Mechanics.

[13]  J. Faure,et al.  ÉTUDE NUMÉRIQUE ET EXPÉRIMENTALE D'INTUMESCENCES À FORTE COURBURE DU FRONT , 1961 .

[14]  Hubert Chanson,et al.  Applications of the Saint-Venant Equations and Method of Characteristics to the Dam Break Wave Problem , 2005 .

[15]  Guido Lauber.  Experimente zur Talsperrenbruch-Welle im glatten geneigten Rechteckkanal , 1997 .

[16]  R. Dressler,et al.  Hydraulic resistance effect upon the dam-break functions , 1952 .