In this work, we investigated the possibilities of using a model of cellular automata in solving the problem of heat and moisture transfer in a periodic wood drying chamber. Thus, in this work are investigating the processes of heat and moisture transfer between the wood and its drying agent. Studies are carried out by using CAD model of stack of dried wood. To use cellular automata, it is proposed to present the CAD model as an array of cubes, each of which has six faces (cells). In this work also proposes to use the different research zones, each of which allows us to calculate the values of temperature and moisture content in different places of the CAD model. In particular, these zones can be placed inside the wood, on its boundary or in the agent of its drying. The proposed cell-automata model contains local relationships between cells that describe their general behavior. In addition to describing the general behavior of cells, the model provides the possibility of setting the physical characteristics of the material. This allows us to approximate processes and determine new values of the physical characteristics of the material, including temperature and moisture content. The proposed algorithm for the use of cellular automata makes it possible to obtain a reliable result unnecessarily to conduct complex and expensive practical experiments. To speed up the calculation process, propose to use multilayered, which consists in obtaining numerical values of the physical characteristics of the material from several adjacent cells, which are located in the same direction of interaction. The work also provides graphs of changes in temperature and relative humidity of the wood drying agent. In this work is also given graphs of changes in temperature and moisture content of wood inside and on its boundary. To check the adequacy and reliability, all results are compared with the results of another experiment. To check the adequacy and reliability, we compared the obtained results with the results of another experiment. For this comparison in work it is calculated the relative error between the temperature and moisture content values of both experiments. The value of this relative error makes it possible to determine the prospects for the use of cellular automata in the simulation of heat and moisture transfer processes in wood drying chambers.
- Bandini, S., & Magagnini, M. (2001). Parallel Processing Simulation of Dynamic Properties of Filled Rubber Compounds Based On Cellular Automata. Parallel Comput., 27, 643–661. https://doi.org/10.1016/S0167-8191(00)00082-X
- Bandman, O. L. (2005). Kletochno-avtomatnye modely prostranstvennoi dynamyky. Systemnaia informatyka, 10, 57–113. [In Russian].
- Gibson, M. J., Keedwell, E. C., & Savic, D. A. (2015). An investigation of the efficient implementation of cellular automata on multi-core CPU and GPU hardware. Parallel Distrib. Comput., 77, 11–25. https://doi.org/10.1016/j.jpdc.2014.10.011
- Jaworski, N., Iwaniec, M., & Lobur, M. (2019). Implementation features of composite materials effective mechanical characteristics finding method based on microlevel cellular structural models. Materials of the XV International Conference CADSM2019, 36–39. https://ieeexplore.ieee.org/document/8779273
- Salehi, M. S., & Serajzadeh, S. (2012). Simulation of static recrystallization in non-isothermal annealing using a coupled cellular automata and finite element model. Comput. Mater. Sci., 53, 145–152. https://doi.org/10.1016/j.commatsci.2011.09.026
- Salin, J. G. (2008). Drying of liquid water in wood as influenced by the capillary fiber network. Drying Technology, 26(5), 560–567. https://doi.org/10.1080/07373930801944747
- Shumylyak, L., Zhikharevich, V., & Ostapov, S. (2015). Cellular automata modeling of impurities segregation in the melt crystallization process. International Journal of Computing, 14(4), 216–226. https://doi.org/10.47839/ijc.14.4.822
- Shumylyak, L., Zhikharevich, V., & Ostapov, S. (2016). Modeling of impurities segregation phenomenon in the melt crystallization process by the continuous cellular automata technique. Applied Mathematics and Computation, 290, 336–354. https://doi.org/10.1016/j.amc.2016.06.012
- Sitko, M., Chao, Q., Wang, J., Perzynski, K., Muszka, K., & Madej, L. (2020). A parallel version of the cellular automata static recrystallization model dedicated for high performance computing platforms – Development and verification. Comput. Mater. Sci., 172, 109–283. https://doi.org/10.1016/j.commatsci.2019.109283
- Sokolovskyy, Ya., & Sinkevych, O. (2018). Software and algorithmic support for represettation of CAD models in 2D von Neumann neighborhood. CEUR Workshop Proceedings, 2300, 215–218.
- Sokolovskyy, Ya., Sinkevych, O., & Voliansky, R. (2019). Development the software for simulation of physical fields in wood drying chambers by using cellular automata. Materials of the XV International Conference CADSM2019, 24–27. https://ieeexplore.ieee.org/abstract/document/8779262
- Sokolovskyy, Ya., Sinkevych, O., & Volianskyi, R. (2020). The study of cellular automata method when used in the problem of capillary-porous material thermal conductivity. Advances in Intelligent Systems and Computing V: Springer Computer Science, 1293, 714–729.https://doi.org/10.1007/978-3-030-63270-0_49
- Svyetlichnyy, D. S. (2010). Modelling of the microstructure: From classical cellular automata approach to the frontal one. Comput. Mater. Sci., 50, 92–97. https://doi.org/10.1016/j.commatsci.2010.07.011
- Zaitsev, D. A. (2018). Simulating Cellular Automata by Infinite Petri Nets. Journal of Cellular Automata, 13(1–2), 121–144.