Mathematical simulation of one-dimensional dam-collapse flow over wetted bed

Issue		Eur. Phys. J. Appl. Phys. Volume 22, Number 2, May 2003


Page(s)		133 - 142
DOI		10.1051/epjap:2003023
Published online		10 April 2003

Eur. Phys. J. AP 22, 133-142 (2003)
DOI: 10.1051/epjap:2003023

Mathematical simulation of one-dimensional dam-collapse flow over wetted bed

D. Medkour¹ and M. Kadja²

¹ Mechanics Institute of Ben Mhidi University, PO Box 358, Oum-El-Bouaghi, 04000, Algeria
² Mechanics department of Mentouri University, Constantine, 25000, Algeria

d-medkour@caramail.com

(Received: 17 May 2002 / Accepted: 9 January 2003 Published online: 10 April 2003)

Abstract
A mathematical model is described and applied to simulate sudden total one-dimensional dam-break flow over wetted bed. The dam collapse takes place in a rough sloping non-prismatic channel of various cross-sections. The water parameters to be instantaneously calculated are the height h, the discharge Q, the mean velocity u and the pressure force P. The mentioned flow is governed by the Saint-Venant shallow water equations and the computation process, on the basis of rectangular grid of points, consists of two complementary solutions: (a) at the first instant after the collapse, an analytical procedure is considered. The calculated parameters are taken as initial values in the water stream embraced by the flood wave. Outside this zone, initial conditions are those which preexist before the rupture. (b) Beyond this time, a numerical computation is carried out by using an iterative explicit method of characteristics. (c) Every time stage of calculation starts by determining the discontinuity (wave front) parameters namely its abscissa $x_\delta$ , height $h_\delta$ , celerity $c_\delta$ and alert delay $t_\delta$ . The former is the discontinuity arrival time at considered station. Typical results are obtained and compared with similar ones already published by others in the literature.

PACS
02.60.Cb - Numerical simulation; solution of equations.
47.35.+i - Hydrodynamic waves.
47.11.+j - Computational methods in fluid dynamics.

© EDP Sciences 2003

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