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JOURNALS // Sibirskii Zhurnal Industrial'noi Matematiki // Archive

Sib. Zh. Ind. Mat., 2015 Volume 18, Number 1, Pages 84–94 (Mi sjim873)

This article is cited in 1 paper

An approach to the determination of the hydraulic resistance coefficient for a pipeline section under an unsteady flow regime

S. Z. Kuliev

Institute of Cybernetics of the Azerbaijan National Academy of Sciences, 9 B. Vahabzade st., AZ 1141 Baku, Azerbaijan

Abstract: 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, hydraulic resistance coefficient, inverse problem, first-order optimization method, adjoint problem, gradient of a functional.

UDC: 519.63+532.13

Received: 15.09.2014

DOI: 10.17377/sibjim.2015.18.107


 English version:
Journal of Applied and Industrial Mathematics, 2015, 9:2, 241–250

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