Abstract
Cellular automata have found application in the study of discrete dynamic processes of physical reality. The article deals with the evolution of a discrete dynamic cellular system modeled in the Wolfram Mathematica computer environment. A comparative analysis of various variants of the cellular automaton model implementation is given: according to rules 90, 105 and 110. An algorithm for modeling the deformed state of a solid body using rule 110 is proposed. To simulate local structures that simulate stress concentrators, the algorithm is supplemented by generating a sequence of pseudo-random numbers. The simulation results showed that the appearance of stress concentrators corresponds to the transition from deterministic to chaotic behavior of a discrete cellular system. The article also estimates the possibility of using a discrete cellular system to simulate the turbulent motion of an incompressible fluid based on a generalized local balance model. The appearance of turbulence zones can be estimated by changing the pattern of the cellular automaton.
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