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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2019, Volume 60, Issue 2, Pages 158–168
DOI: https://doi.org/10.15372/PMTF20190213
(Mi pmtf467)
 

This article is cited in 3 scientific papers (total in 3 papers)

Simulation and optimization in the problems of design of spherical layered thermal shells

G. V. Alekseevab, V. A. Levinc, D. A. Tereshkoa

a Institute of Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences, Vladivostok, 690041, Russia
b Far Eastern Federal University, Vladivostok, 690041, Russia
c Institute of Automation and Control Processes, Far Eastern Branch, Russian Academy of Sciences, Vladivostok, 690041, Russia
Full-text PDF (310 kB) Citations (3)
Abstract: This paper describes the inverse problems of heat transfer, arising in designing multilayered spherical cloaking shells and other functional devices for controlling thermal fields. It is assumed that shells are comprised of a finite number of layers, each filled by a homogeneous isotropic or anisotropic medium. An exact solution for a partial case of a single-layer homogeneous anisotropic shell is presented and analyzed. An optimization approach used to reduce the inverse problems under consideration to control problems. A numerical algorithm for solving them is proposed, which is based on a particle swarm optimization, and the results of numerical experiments are discussed.
Keywords: heat transfer, thermal masking, design of functional devices, inverse problems, optimization method, particle swarm method.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-00400-19-00
English version:
Journal of Applied Mechanics and Technical Physics, 2019, Volume 60, Issue 2, Pages 323–331
DOI: https://doi.org/10.1134/S0021894419020135
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: G. V. Alekseev, V. A. Levin, D. A. Tereshko, “Simulation and optimization in the problems of design of spherical layered thermal shells”, Prikl. Mekh. Tekh. Fiz., 60:2 (2019), 158–168; J. Appl. Mech. Tech. Phys., 60:2 (2019), 323–331
Citation in format AMSBIB
\Bibitem{AleLevTer19}
\by G.~V.~Alekseev, V.~A.~Levin, D.~A.~Tereshko
\paper Simulation and optimization in the problems of design of spherical layered thermal shells
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2019
\vol 60
\issue 2
\pages 158--168
\mathnet{http://mi.mathnet.ru/pmtf467}
\crossref{https://doi.org/10.15372/PMTF20190213}
\elib{https://elibrary.ru/item.asp?id=37248718}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2019
\vol 60
\issue 2
\pages 323--331
\crossref{https://doi.org/10.1134/S0021894419020135}
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  • https://www.mathnet.ru/eng/pmtf/v60/i2/p158
  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Prikladnaya Mekhanika i Tekhnicheskaya Fizika Prikladnaya Mekhanika i Tekhnicheskaya Fizika
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