Reconstruction of characteristics of a fluid flow in the pipe from spectral data using hybrid optimization algorithms
Authors: Sulimov V.D., Shkapov P.M., Bondarenko N.I. | Published: 04.04.2016 |
Published in issue: #2(65)/2016 | |
DOI: 10.18698/1812-3368-2016-2-65-78 | |
Category: Mechanics | Chapter: Mechanics of Liquid, Gas, and Plasma | |
Keywords: fluid-conveying pipe, oscillation frequencies, flow characteristics, inverse problem, criterion function, global optimization, hybrid algorithm |
The study tested the natural transverse oscillations of a straight pipe conveying an ideal fluid flow. The purpose of this work was to find fluid mass density and flow velocity from circumstantial measured data. Input data are given by a truncated spectrum of lower natural frequencies of the system. The direct problem for the mathematical model of the system is solved with the help of homotopy perturbation method. Particular criteria of the inverse problem are supposed to be continuous, Lipschitzian, not everywhere differentiable, multiextremal functions. New hybrid optimization algorithms are used in the search for global solutions; the algorithms integrate a stochastic algorithm for scanning a search space with deterministic methods for local search. A numerical example is given.
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