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DEVELOPMENT OF COMPUTATIONAL SOFTWARE FOR THERMAL ANALYSIS IN HETEROGENEOUS ANISOTROPIC MEDIA

Shokirjon BobosharipovTermez University of Economics and Service Computer Systems and Their Software Major 2nd Year Master's StudentBekzodjon FayziyevDoctor of Philosophy in Physics and Mathematics, Associate Professor
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Abstract

This paper presents the development and validation of a computational software package designed for the numerical simulation of transient heat transfer in heterogeneous, anisotropic media. Unlike isotropic materials, anisotropic media exhibit direction-dependent thermal conductivity, requiring a tensorial description. The proposed software, implemented in Python with NumPy and SciPy libraries, employs the finite volume method (FVM) on unstructured meshes, enabling complex geometries. The software architecture includes a preprocessor for material orientation definition, a solver using implicit time-stepping, and a postprocessor for 2D/3D visualization. Validation against analytical solutions and benchmark problems shows errors below 2%. The software is open-source and intended for educational and research applications in materials engineering and geophysics.

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