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Prikl. Diskr. Mat., 2012, Number 4(18), Pages 73–81 (Mi pdm392)  

Discrete Models for Real Processes

Development of a continuous asynchronous cellular automata method for simulating turbulent flows

G. D. Tymchyk, V. V. Zhikharevich

Khar'kov Polytechnical University, Chernovtsy Department, Chernovtsy, Ukraine

Abstract: A method for simulating turbulent flows of the matter based on the continuous asynchronous cellular automata is presented, and a modification of it is proposed. The modification includes the implementation of a probabilistic mechanism in the cellular automaton movement along the components of the velocity vectors, and the modeling the substance transfer process by the directional state duplication of the neighbour cells. The results of numerical experiments are given for the dynamic of turbulent matter flow in a tube with obstacles.

Keywords: cellular automaton, computer simulation, turbulence, the Navier–Stokes equation.

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Document Type: Article
UDC: 519.68

Citation: G. D. Tymchyk, V. V. Zhikharevich, “Development of a continuous asynchronous cellular automata method for simulating turbulent flows”, Prikl. Diskr. Mat., 2012, no. 4(18), 73–81

Citation in format AMSBIB
\Bibitem{TimZhi12}
\by G.~D.~Tymchyk, V.~V.~Zhikharevich
\paper Development of a~continuous asynchronous cellular automata method for simulating turbulent flows
\jour Prikl. Diskr. Mat.
\yr 2012
\issue 4(18)
\pages 73--81
\mathnet{http://mi.mathnet.ru/pdm392}


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  • Прикладная дискретная математика
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