Geodesic
Applying the control-volume method to extended period simulations in pipe network hydraulics
Matematičeskoe modelirovanie i čislennye metody (2016), pp. 34-46.

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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: сontrol-volume method, extended period simulations, transient.
Mots-clés : global gradient algorithm 
@article{MMCM_2016_a2,
     author = {V. Yu. Volkov and L. A. Golibrodo and I. G. Zorina and O. V. Kudryavtsev and A. A. Krutikov and A. P. Skibin},
     title = {Applying the control-volume method to extended period simulations in pipe network hydraulics},
     journal = {Matemati\v{c}eskoe modelirovanie i \v{c}islennye metody},
     pages = {34--46},
     publisher = {mathdoc},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MMCM_2016_a2/}
}
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%A I. G. Zorina
%A O. V. Kudryavtsev
%A A. A. Krutikov
%A A. P. Skibin
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V. Yu. Volkov; L. A. Golibrodo; I. G. Zorina; O. V. Kudryavtsev; A. A. Krutikov; A. P. Skibin. Applying the control-volume method to extended period simulations in pipe network hydraulics. Matematičeskoe modelirovanie i čislennye metody (2016), pp. 34-46. http://geodesic.mathdoc.fr/item/MMCM_2016_a2/