Geodesic
Generation of porous media computer representation by two-layer totalistic cellular automaton
Prikladnaâ diskretnaâ matematika, no. 1 (2015), pp. 120-128

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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. 
@article{PDM_2015_1_a12,
     author = {A. E. Kireeva},
     title = {Generation of porous media computer representation by two-layer totalistic cellular automaton},
     journal = {Prikladna\^a diskretna\^a matematika},
     pages = {120--128},
     publisher = {mathdoc},
     number = {1},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PDM_2015_1_a12/}
}
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A. E. Kireeva. Generation of porous media computer representation by two-layer totalistic cellular automaton. Prikladnaâ diskretnaâ matematika, no. 1 (2015), pp. 120-128. http://geodesic.mathdoc.fr/item/PDM_2015_1_a12/