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Prikladnaya Diskretnaya Matematika, 2015, Number 1(27), Pages 120–128
(Mi pdm490)
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Discrete Models for Real Processes
Generation of porous media computer representation by two-layer totalistic cellular automaton
A. E. Kireeva Institute of Computational Mathematics and Mathematical Geophysics SB RAS, Novosibirsk, Russia
Abstract:
In the paper, two-layer totalistic cellular automaton allowing to generate porous materials computer representation is presented. Two-layer cellular automaton is constructed as a parallel composition of a totalistic cellular automaton and an asynchronous cellular automaton. The second layer gives an opportunity to form complex inhomogeneous structures similar to a patterns emerging in natural phenomena. The investigation aims to create a method for porous media morphology synthesis according to a given set of properties such as porosity, percolation, density, etc. Two-layer totalistic cellular automaton allows to obtain a set of patterns representing different porous media morphology. In addition, a porous medium characteristics such as percolation degree, porosity, the number of connected components are calculated and can be used for the analysis and selection of materials with necessary morphology.
Keywords:
totalistic cellular automaton, parallel composition of cellular automata, activator, inhibitor, porous media, stable patterns.
Citation:
A. E. Kireeva, “Generation of porous media computer representation by two-layer totalistic cellular automaton”, Prikl. Diskr. Mat., 2015, no. 1(27), 120–128
Linking options:
https://www.mathnet.ru/eng/pdm490 https://www.mathnet.ru/eng/pdm/y2015/i1/p120
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