Optimal Location of Heat Sources Inside Areas with Complex Geometric Shapes
- Authors: Osipov O.V.1, Brusentsev A.G.1
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Affiliations:
- Shukhov Belgorod State Technological University
- Issue: Vol 11, No 6 (2019)
- Pages: 905-913
- Section: Article
- URL: https://journals.rcsi.science/2070-0482/article/view/203793
- DOI: https://doi.org/10.1134/S2070048219060152
- ID: 203793
Cite item
Abstract
Algorithms of the optimal arrangement of heat sources with volumetric heat release within regions of a complex geometric shape are considered. The distribution found has the minimum total power and provides the temperature in the given temperature corridor. Finite-dimensional approximations of the original problem are constructed in the form of a linear programming problem. A method is given for constructing a finite-difference scheme for solving the heat equation, as well as a brief description of the developed software modules for constructing grids and solving equations. Several computer experiments have been carried out using the developed programs.
About the authors
O. V. Osipov
Shukhov Belgorod State Technological University
Author for correspondence.
Email: ov.osipov@gmail.com
Russian Federation, Belgorod, Belgorod Oblast, 308012
A. G. Brusentsev
Shukhov Belgorod State Technological University
Author for correspondence.
Email: brusentsev@mail.ru
Russian Federation, Belgorod, Belgorod Oblast, 308012