Abstract
The paper presents a mathematical model for the study of temperature and humidity of capillary-porous materials during its drying by using the theory of cellular automata. To accomplish this task, we developed a three-dimensional mathematical model, which described by an interconnected system of partial differential equations in time derivatives and spatial coordinates. In order to use this mathematical model in practice we described the ways of representing the CAD model in the form of multidimensional arrays whose elements are 3D cubes, as well as special schemes of the relation between the edges of these 3D cubes. This representation allows us to make the most effective use of the developed mathematical model, which described by an interconnected system of partial differential equations in time derivatives and spatial coordinates. The paper also describes the developed software and its functionality. To test the mathematical model, were conducted a number of experiments by using the developed software. Also in this paper, we shown the results of the calculations in the form of graphs of change the temperature and humidity of the capillary-porous material according to time iterations.
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Sokolovskyy, Y., Sinkevych, O., Voliansky, R., Kryshtapovych, V. (2021). The Study of Cellular Automata Method When Used in the Problem of Capillary-Porous Material Thermal Conductivity. In: Shakhovska, N., Medykovskyy, M.O. (eds) Advances in Intelligent Systems and Computing V. CSIT 2020. Advances in Intelligent Systems and Computing, vol 1293. Springer, Cham. https://doi.org/10.1007/978-3-030-63270-0_49
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DOI: https://doi.org/10.1007/978-3-030-63270-0_49
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