Abstract:
The process of heat conduction, accompanied by the first order phase transitions is discussed in this article. Using cellular automates simulation was investigated class of problems that have broad application in practice. In this paper we calculate the temperature distribution in the depth of the soil at different times for a problem of freezing of moist soil. Another task — zone growing — has been modeled by cellular automates too. The coincidence of real and modeling parameters of the system confirms the feasibility of using the selected method of modeling of physical processes.
Keywords:
first order phase transition, a cellular automaton, the thermal conductivity.
Received: 05.03.2013
Document Type:
Article
UDC:
519.6:536.2
Language: Russian
Citation:
V. V. Zhikharevich, L. M. Shumylyak, L. M. Shumуlyak, S. E. Ostapov, “Construction and investigation of continuous cellular automatа model of heat conductivity processes with first order phase transitions”, Computer Research and Modeling, 5:2 (2013), 141–152
\Bibitem{ZhiShuShu13}
\by V.~V.~Zhikharevich, L.~M.~Shumylyak, L.~M.~Shumуlyak, S.~E.~Ostapov
\paper Construction and investigation of continuous cellular automatа model of heat conductivity processes with first order phase transitions
\jour Computer Research and Modeling
\yr 2013
\vol 5
\issue 2
\pages 141--152
\mathnet{http://mi.mathnet.ru/crm387}
\crossref{https://doi.org/10.20537/2076-7633-2013-5-2-141-152}
Linking options:
https://www.mathnet.ru/eng/crm387
https://www.mathnet.ru/eng/crm/v5/i2/p141
This publication is cited in the following 2 articles:
I. V. Matyushkin, M. A. Zapletina, “Obzor po tematike kletochnykh avtomatov na baze sovremennykh otechestvennykh publikatsii”, Kompyuternye issledovaniya i modelirovanie, 11:1 (2019), 9–57
L. M. Shumilyak, V. V. Zhikharevich, S. E. Ostapov, “Modelirovanie yavleniya segregatsii primesi v protsesse kristallizatsii rasplava metodom nepreryvnykh kletochnykh avtomatov”, PDM, 2016, no. 1(31), 104–118
Citation in format AMSBIB
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