Journal "Software Engineering"
a journal on theoretical and applied science and technology
ISSN 2220-3397

Issue N9 2025 year

DOI: 10.17587/prin.16.480-488
Optimization of Thermodiffusion Calculations Using a Thermal Mirror
M. Raad, Postgraduate Student, m.raad@hotmail.com, Bauman Moscow State Technical University, Moscow, 105005, Russian Federation
Corresponding author: Majd Raad, Postgraduate Student, Bauman Moscow State Technical University, Moscow, 105005, Russian Federation, E-mail: m.raad@hotmail.com
Received on May 08, 2025
Accepted on June 18, 2025

This paper presents an innovative method for optimizing thermodiffusion calculations in solids using the concept of a thermal mirror and symmetry. The developed approach significantly reduces computational costs by applying the Delaunay algorithm and the finite element method (FEM) for mesh generation and thermal problem solving. The study demonstrates that accounting for the symmetry of geometric shapes and heat sources enables a reduction number of computations by a factor of 2n (where n is the number of symmetry levels) without sacrificing accuracy. The practical implementation of the method in the MFEMS system confirmed its effectiveness, achieving significant reductions in mesh generation time and acceleration of thermodiffusion calculations. Method limitations include imperfect symmetry of real-world objects, distortion of temperature fields under asymmetrical heat sources, and the high computational complexity of symmetry determination. Despite these, the method remains effective for systems with pronounced symmetry, providing an optimal balance between accuracy and computational cost. The results have significant potential for application in the design of heat exchange systems requiring high-precision and resource-efficient simulation methods.

Keywords: thermodiffusion in solids, thermal mirror, symmetry in thermal calculations, optimization of thermal processes, finite element method (FEM), delaunay algorithm, numerical heat transfer simulation, computational efficiency, sym­metry analysis, heat exchange systems, thermal conductivity, reduction of computational cost, accuracy enhancement
pp. 480—488
For citation:
Raad M. Optimization of Thermodiffusion Calculations Using a Thermal Mirror, Programmnaya Ingeneria, 2025, vol. 16, no. 9, pp. 480—488. DOI: 10.17587/prin.16.480-488 (in Russian).
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