The Method of Lines Solution of Unsteady Open Channel Flow Equations Along Characteristics

by Nosrat Maghsoudi, Univ of Tehran, Tehran, Iran,

Document Type: Proceeding Paper

Part of: Hydraulic Engineering


The method of characteristics (MOC) has long been considered as a natural procedure for solving transient flow problems. In this paper, by using the concept of the method of lines, the characteristic forms of unsteady open channel flow equations are transformed analytically into a set of ordinary differential equations which are explicit in the time derivatives of dependent variables. This method, in addition to the efficiency of the method of lines and the directionality of the MOC, is shown to be the finite difference analog of the original set of equations plus a dissipative interface, which is instrumental in damping of undesirable oscillations.

Subject Headings: Open channel flow | Unsteady flow | Finite difference method | Fluid flow | Water flow | Transient flow | Mathematical models | Simulation models

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