Bandman, O. L.; Gromilov, S. A.; Kinelovskiĭ, S. A. Cumulative synthesis: a cellular-automata model of target coating formation by means of cumulative flow of particles. (Russian. English summary) Zbl 1481.74524 Prikl. Diskretn. Mat. 2010, No. 3(9), 111-120 (2010). Summary: A discrete mathematical model of stochastic type is proposed. The model is intended for computer simulating of coating formation on metallic target under the influence of a high speed powder jet. The model belongs to the class of asynchronous probabilistic cellular automata. The model parameters are determined both from the actual test and from the known facts of similar processes. Program implementation and computer simulation of carbide formation on tungsten target being processed by carbon powder jet showed that the model is a useful instrument in the investigations aimed at creation methods for cumulative synthesis of new materials and structures. MSC: 74K35 Thin films 74S60 Stochastic and other probabilistic methods applied to problems in solid mechanics 74-10 Mathematical modeling or simulation for problems pertaining to mechanics of deformable solids 68Q80 Cellular automata (computational aspects) Keywords:computer simulation; asynchronous probabilistic cellular automaton; cumulative jet; carbide coating formation; tungsten target PDFBibTeX XMLCite \textit{O. L. Bandman} et al., Prikl. Diskretn. Mat. 2010, No. 3(9), 111--120 (2010; Zbl 1481.74524) Full Text: MNR References: [1] Gromilov S. A., Kinelovskii S. A., Popov Yu. N., Trishin Yu. A., “O vozmozhnosti fiziko-khimicheskikh prevraschenii veschestv pri kumulyativnom nanesenii pokrytii”, Fizika goreniya i vzryva, 33:6 (1997), 127-130 [2] Psakhe S. G., Korostelev S. Yu., Smolin A. Yu. i dr., “Metod podvizhnykh kletochnykh avtomatov kak instrument fizicheskoi mezomekhaniki materialov”, Fizicheskaya mezomekhanika, 1:1 (1998), 1-15 [3] Bandman O. L., “Kletochno-avtomatnye modeli prostranstvennoi dinamiki”, Sistemnaya informatika, 10, SO RAN, Novosibirsk, 2006, 59-113 [4] Jansen A. P. J., An Introduction to Monte Carlo Simulation Of Surface Reaction, arXiv: [5] Bandman O., “Parallel Simulation of Asynchronous CellularAutomata Evolution”, LNCS, 4173, 2006, 41-48 · Zbl 1155.68454 [6] Achasova S., Bandman O., Markova V., Piskunov S., Parallel Substitution Algorithm: Theory and Application, World Scientific, Singapore, 1994, 180 pp. · Zbl 0840.68054 [7] Itaka I., Aoki Y., “Quantitative separation of WC from W2C and tungsten, and the conditions of formation of two carbides”, Bulletin of Chemical Society, 1982, no. 4, 108-114 [8] Common Properties - Tungsten Carbide, This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.