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Numerical Solution of Transient Closed-Conduit Flow Equations by the Method of Lines Along Characteristics

by Nosrat Maghsoudi, HydroTel Int, Lafayette, United States,



Document Type: Proceeding Paper

Part of: Hydraulic Engineering

Abstract:

The method of characteristics has long been considered as a natural technique for solving transient closed-conduit problems. In this paper, by using the concept of the method of lines, the characteristic forms of transient closed-conduit flow equations are transformed analytically into a set of ordinary differential equations that are explicit in the time derivatives of dependent variables. This method embodies both the simplicity and efficiency of the method of lines and the directionality of the method of characteristics. It is also shown that the designed finite difference scheme is the discrete analog of the Eulerian form of closed-conduit flow equations and a dissipative interface which is instrumental in preventing numerical oscillations.

Subject Headings: Transient flow | Numerical methods | Differential equations | Pipe flow | Mathematics | Finite difference method | Water pipelines

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