A cellular automata method for acoustic problems

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Journal of Vibration and Shock ›› 2021, Vol. 40 ›› Issue (16) : 69-74.

LUO Kun1，WANG Zhenguo2

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Abstract

In order to explore the applicability of the cellular automata (CA) method in solving acoustic problems, in this paper, the local evolution rules of one-dimensional plane wave field CA were derived by combining the principle of CA and the acoustic wave equation.On this basis, a one-dimensional acoustic CA model is constructed, and the sound pressure distribution in the acoustic tube under different boundary conditions is calculated.At the same time, the correctness of the model is verified by comparing analytic solution; then, based on the acoustic wave equation in the spherical coordinates, the CA local evolution rule of Y-function of pulsating sphere source is derived, and then a two-dimensional acoustic CA model is established.Finally, the acoustic radiation law of the pulsating sphere source is discussed by using the model, and the analysis results are compared with the analytic solution.The results show that the acoustic CA model can accurately simulate the acoustic radiation rules of plane wave fields and spherical wave fields, and the simulation results are in good agreement with the analytic solution; the CA model in this paper can avoid the problem of anisotropic renewal of a cell state in the traditional CA model, and still has good applicability for the combined sound field of double spherical sources.

Key words

acoustics / cellular automata(CA) / acoustic wave equation / local evolution rules / acoustic radiation

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LUO Kun，WANG Zhenguo. A cellular automata method for acoustic problems[J]. Journal of Vibration and Shock, 2021, 40(16): 69-74

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