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.
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The article was prepared as part of a core university development program based on the Shukhov Belgorod State Technological University.
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Osipov, O.V., Brusentsev, A.G. Optimal Location of Heat Sources Inside Areas with Complex Geometric Shapes. Math Models Comput Simul 11, 905–913 (2019). https://doi.org/10.1134/S2070048219060152
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DOI: https://doi.org/10.1134/S2070048219060152