Open AccessModeling of a dynamic discrete cellular system
Author(s) -
O. V. Opalikhina
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1889/5/052034
Subject(s) - cellular automaton , stochastic cellular automaton , chaotic , discrete system , computer science , sequence (biology) , turbulence , state (computer science) , block cellular automaton , statistical physics , automaton , algorithm , theoretical computer science , mathematics , mobile automaton , physics , mechanics , artificial intelligence , automata theory , biology , genetics
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.