The wave resulting from instantaneous and complete valve-closure in pressurized pipe systems propagates upstream and/or downstream in the hydraulic system. The pressure (head) and velocity of the flow (waves) are important parameters in the design of pipeline systems. Analyzing and interpreting water-hammer (unsteady flow) phenomena in a pipeline are not easy tasks. For complicated cases, the governing partial differential equations can only be solved numerically. Various numerical approaches have been introduced for pipe line transient calculations. They include The Method of Characteristics (MOC), Finite Difference (FD), Wave Plan (WP), Finite Volume (FV) and Finite Element (FE). In this paper, second order Finite Volume (FV) Godunov type scheme is applied for water hammer problems and the results are analyzed. The developed one dimensional model is based on Reimann solution. The implementation of boundary conditions such as reservoirs, valves, and pipe junctions in the Godunov approach is similar to that of the method of characteristics (MOC) approach. The model is applied to two classic problems (systems consisting of a reservoir, a pipe and a valve). The second-order Godunov scheme is stable for Courant number less than or equal to unity. The minimum and maximum of the pressure waves not only are computed in close agreement with laboratory data, both also in the same period of the times.

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