Abstract

In the present study, acoustic wave propagation in an enclosure surrounded by fractal walls is simulated and studied using Cellular Automata (CA). CA is a discrete system which consists of finite state variables, arranged on a uniform grid (cell). CA dynamics is described by a local interaction rule, which is used for computation of new state of each cell from the present state at every time step. In this paper, the influence of fractal shaped boundary structure on resonance and sound absorption characteristics is investigated for two dimensional acoustic wave propagation model using CA. Local rules are provided for construction of fractal patterns as well as representation of wave propagation phenomena. Direct numerical simulations are performed and resonance characteristics are obtained for evaluating fractal level influence on sound attenuation.

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