Abstract
Analyzing and interpreting the 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 pipeline transient calculations. 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 model is applied to two classic problems (systems consisting of a reservoir, a pipe and a valve). The stability and accuracy of the developed second-order Godunov scheme is examined for Courant number less than or equal to unity. The pressure waves computed by present second order Godunuve finite volume method are in close agreement with the analytical solution for the water hammer problem in a frictionless pipe.
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Sabbagh-Yazdi, SR., Abbasi, A., Mastorakis, N.E. (2009). Water Hammer Modeling Using 2nd Order Godunov Finite Volume Method. In: Mastorakis, N., Mladenov, V., Kontargyri, V. (eds) Proceedings of the European Computing Conference. Lecture Notes in Electrical Engineering, vol 28. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-85437-3_21
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DOI: https://doi.org/10.1007/978-0-387-85437-3_21
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