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Numerical Integration of Abruptly Unsteady Flows in an Open Channel

ABSTRACT Unsteady flows in channels and rivers combine a number of very complex natural phenomena, particularly phenomena related to the wave propagation caused by gravity or floods. The free surface flows relative to flows are regulated by the dynamic equilibrium of the forces of gravity, inertia and friction (Hervouet, 2003).In this present research study the focus is primarily on the dynamic behavior of flows in an open channel, which occurs after the opening of a partition in the case of an enlargement and finally an abrupt drop. The numerical integration of the governing hyperbolic partial differential equations allowed us to better understand the phenomenon studied in the three cases cited above. Solving these equations could be realized by using a FORTRAN calculation program that we developed.