Modeling of Sound Absorption by Porous Materials Using Cellular Automata

  • Toshihiko Komatsuzaki
  • Yoshio Iwata
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4173)


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.


Porous Material Cellular Automaton Sound Pressure Sound Source Cellular Automaton 
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  1. 1.
    Morse, P.M., Ingard, K.U.: Theoretical Acoustics. Princeton University Press, Princeton (1986)Google Scholar
  2. 2.
    Doolen, G.D.: Lattice Gas Methods. MIT Press, Cambridge (1991)Google Scholar
  3. 3.
    Frisch, U., Hasslacher, B., Pomeau, Y.: Lattice-Gas Automata for the Navier-Stokes Equation. Phys. Rev. Lett. 56, 1505–1508 (1986)CrossRefGoogle Scholar
  4. 4.
    Chen, H., Chen, S., Doolen, G., Lee, Y.C.: Simple Lattice Gas Models for Waves. Complex Systems 2, 259–267 (1988)MATHMathSciNetGoogle Scholar
  5. 5.
    Chen, H., Chen, S., Doolen, G.D.: Sound Wave Propagation in FHP Lattice Gas Automata. Phys. Lett. A 140, 161–165 (1989)CrossRefGoogle Scholar
  6. 6.
    Sudo, Y., Sparrow, V.W.: Sound Propagation Simulations Using Lattice Gas Methods. AIAA J. 33, 1582–1589 (1995)MATHCrossRefGoogle Scholar
  7. 7.
    Chopard, B., Droz, M.: Cellular Automata Modeling of Physical Systems. Cambridge University Press, Cambridge (1998)MATHCrossRefGoogle Scholar
  8. 8.
    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)CrossRefGoogle Scholar
  9. 9.
    Komatsuzaki, T., Sato, H., Iwata, Y., Morishita, S.: Simulation of Acoustic Wave Propa-gation using Cellular Automata. Trans. JSCES 1, 135–140 (1999)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Toshihiko Komatsuzaki
    • 1
  • Yoshio Iwata
    • 1
  1. 1.Graduate School of Natural Science and TechnologyKanazawa UniversityKakuma-machi, KanazawaJapan

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