USE OF CONTINUOUS CELLULAR AUTOMATA FOR SIMULATION OF THERMAL CONDUCTIVITY IN SYSTEMS WITH FIRST ORDER PHASE TRANSITION

Authors

  • Vladimir Zhikharevich
  • Liliya Shumуlyak

DOI:

https://doi.org/10.47839/ijc.12.2.595

Keywords:

first order phase transition, cellular automata, thermal conductivity.

Abstract

This paper is devoted to the use of cellular automata model for the study of some underlying physical processes. The basic approach and general methodology for the development of cellular automata models are examined through the example of heat transfer processes. It is shown that these models can be an alternative to the use of classical differential equations. It is proven that the model as a system of cellular automata is a good tool for the study of nonlinear problems of heat transfer and can describe a very complex behaviour of a system, despite the simplicity of its description.

References

O.L. Bandman, Cellular аutomata models of spatial dynamics, System Informatics, (10) (2005), pp. 57-113. (in Russian)

V.K Vanag, Study of spatially extended dynamical systems using probabilistic cellular automaton, Physical sciences progress, (169) 5 (1999), pp. 481-505. (in Russian)

G.G. Malinetskij, M.E. Stepantsov, Simulation of diffusion processes cellular automata with Margolus neighbourhood, Computational Mathematics and Mathematical Physics, (36) 6 (1998), pp. 1017-1021. (in Russian)

S. Bobkov, Y.V. Voytko, Usage of cellular automata to model the nonlinear heat conduction problems, Chemistry and Chemical Engineering, (52) 11 (2009), pp. 126-128. (in Russian)

N.I. Limanova, E. Mamzin, S. Matveev, Modelling of heat transfer, Bulletin of the Samara State Aerospace University, (3) 19 (2009), pp. 265-269. (in Russian)

V.V. Zhikharevich, S.E. Ostapov, Simulation of self-organization and evolution of systems by continuous asynchronous cellular automata, Computing, (8) 3 (2009), pp. 61-71. (in Russian)

V.V. Zhikharevich, L.M. Shumilyak, Approximation of the solution of the non-stationary equation of heat conductivity by the method of probabilistic continuous asynchronous cellular automats for a one-dimensional, Computer studies and modeling, (4) 2 (2012), pp. 293-301. (in Russian)

O.L. Bandman, Parallel implementation of cellular automata algorithms for simulation of spatial dynamics, Sib. Journal. calculated. Math., (10) 4 (2007), pp. 335-348. (in Russian)

G.V. Kuznetsov, M.A. Sheremet, Difference Methods for Solving of Heat Conduction: the Manual, Tomsk: TPU, 2007, 172 p. (in Russian)

E.A. Arinshtein, Damp ground freezing, Bulletin of the Tyumen State University, (6) (2010), pp. 11-14. (in Russian)

L.T. Strutinskaya, V.V. Zhikharevich, Modeling of thermoelectric materials based on Vі2Te3 by vertical zone melting, Thermoelectrics, (2) (2012), pp. 79-87. (in Russian)

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Published

2014-08-01

How to Cite

Zhikharevich, V., & Shumуlyak L. (2014). USE OF CONTINUOUS CELLULAR AUTOMATA FOR SIMULATION OF THERMAL CONDUCTIVITY IN SYSTEMS WITH FIRST ORDER PHASE TRANSITION. International Journal of Computing, 12(2), 142-150. https://doi.org/10.47839/ijc.12.2.595

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Articles