Abstract
In the present study, acoustic wave propagation in acoustic tube in-corporating sound absorbing material is simulated 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 study an acoustic tube model is introduced in which absorbing material is characterized by direct modeling of porosity and flow resistance. Direct numerical simulation CA model is performed and evaluated by absorption coefficient using standing wave ratio measure. The results showed good correspondence with analytical solutions.
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Morse, P.M., Ingard, K.U.: Theoretical Acoustics. Princeton University Press, Princeton (1986)
Doolen, G.D.: Lattice Gas Methods. MIT Press, Cambridge (1991)
Frisch, U., Hasslacher, B., Pomeau, Y.: Lattice-Gas Automata for the Navier-Stokes Equation. Phys. Rev. Lett. 56, 1505–1508 (1986)
Chen, H., Chen, S., Doolen, G., Lee, Y.C.: Simple Lattice Gas Models for Waves. Complex Systems 2, 259–267 (1988)
Chen, H., Chen, S., Doolen, G.D.: Sound Wave Propagation in FHP Lattice Gas Automata. Phys. Lett. A 140, 161–165 (1989)
Sudo, Y., Sparrow, V.W.: Sound Propagation Simulations Using Lattice Gas Methods. AIAA J. 33, 1582–1589 (1995)
Chopard, B., Droz, M.: Cellular Automata Modeling of Physical Systems. Cambridge University Press, Cambridge (1998)
Chopard, B., Luthi, P.O., Wagen, J.-F.: A Lattice Boltzmann Method for Wave Propagation in Urban Microcells. IEE Proceedings - Microwaves, Antennas and Propagation 144(4), 251–255 (1997)
Komatsuzaki, T., Sato, H., Iwata, Y., Morishita, S.: Simulation of Acoustic Wave Propa-gation using Cellular Automata. Trans. JSCES 1, 135–140 (1999)
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© 2006 Springer-Verlag Berlin Heidelberg
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Komatsuzaki, T., Iwata, Y. (2006). Modeling of Sound Absorption by Porous Materials Using Cellular Automata. In: El Yacoubi, S., Chopard, B., Bandini, S. (eds) Cellular Automata. ACRI 2006. Lecture Notes in Computer Science, vol 4173. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11861201_42
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DOI: https://doi.org/10.1007/11861201_42
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-40929-8
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