Abstract
A two dimensional unsteady flow model, FVSSWE, has been applied to different types of flow such as discontinuous flow, unsteady flow and supercritical flow in a channel. The model is based on the finite volume method (FVM) using the Osher scheme to solve the homogeneous part of the shallow water equations. In order to include the contribution of source and sink terms, conservative variables are updated by solving the non-homogenous part of the equations consisting of a bottom elevation and friction terms. This can be solved by a fourth-order Runge Kutta method since it is a set of ODEs. The results obtained are compared with previously published results and with other well-known methods and are shown to exhibit good agreement with them.
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Erduran, K.S., Kutija, V. (2001). Application of the Finite Volume Method with Osher Scheme & Split Technique for Different Types of Flow in a Channel. In: Toro, E.F. (eds) Godunov Methods. Springer, New York, NY. https://doi.org/10.1007/978-1-4615-0663-8_29
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DOI: https://doi.org/10.1007/978-1-4615-0663-8_29
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4613-5183-2
Online ISBN: 978-1-4615-0663-8
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