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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
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.
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
Linking options:
https://www.mathnet.ru/eng/pmtf467 https://www.mathnet.ru/eng/pmtf/v60/i2/p158
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