Geodesic
An approach to the determination of the hydraulic resistance coefficient for a~pipeline section under an unsteady flow regime
Sibirskij žurnal industrialʹnoj matematiki, Tome 18 (2015) no. 1, pp. 84-94

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The article is devoted to the determination of the value of the hydraulic resistance coefficient of a linear section of a main pipeline. The problem under consideration is reduced to a finite-dimensional optimization problem, for solving which we propose to use first-order numerical methods. We deduce formulas for the components of the gradient of the objective functional in the space of identifiable parameters. The results of the implemented numerical experiments are given.
Keywords: hyperbolic equation, inverse problem, first-order optimization method, gradient of a functional.
Mots-clés : hydraulic resistance coefficient, adjoint problem 
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     title = {An approach to the determination of the hydraulic resistance coefficient for a~pipeline section under an unsteady flow regime},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {84--94},
     publisher = {mathdoc},
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     number = {1},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2015_18_1_a6/}
}
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S. Z. Kuliev. An approach to the determination of the hydraulic resistance coefficient for a~pipeline section under an unsteady flow regime. Sibirskij žurnal industrialʹnoj matematiki, Tome 18 (2015) no. 1, pp. 84-94. http://geodesic.mathdoc.fr/item/SJIM_2015_18_1_a6/