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JOURNALS // Matematicheskoe Modelirovanie i Chislennye Metody // Archive

Mat. Mod. Chisl. Met., 2016 Issue 12, Pages 34–46 (Mi mmcm84)

Applying the control-volume method to extended period simulations in pipe network hydraulics

V. Yu. Volkova, L. A. Golibrodoa, I. G. Zorinab, O. V. Kudryavtseva, A. A. Krutikova, A. P. Skibina

a JSC OKB GIROPRESS, Podolsk, 142103, Russia
b Bauman Moscow State Technical University, Moscow, 105005, Russia

Abstract: For modeling piping systems we made a transition from the mass balance equations, based on 1m and 2m Kirchhoff laws, to the mathematical description of a hydraulic network using the continuity equation discretization. For this purpose we applied a controlvolume method. This paper introduces an extension of the developed control-volume method for extended period simulations in hydraulic networks. This extension is developed for slow time-varying conditions in the hydraulic networks and is not intended to calculate rapidly occurring local phenomena such as waterhammer. The control-volume method was successfully applied to test tasks.

Keywords: ņontrol-volume method, global gradient algorithm, extended period simulations, transient.

UDC: 536.2(075)

Received: 12.11.2016

DOI: 10.18698/2309-3684-2016-4-3446



© Steklov Math. Inst. of RAS, 2024