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LGA Method for 1D Sound Wave Simulation in Inhomogeneous Media

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Parallel Computing Technologies (PaCT 2009)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5698))

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Abstract

The Lattice Gas Automata (LGA) models are based on a microscopic model of physical process and can be considered as an adjunct to the traditional numerical methods to the spatial dynamics simulation. Here we consider two simple LGA models (HPPrp and HPP). They are based on a regular two-dimensional four-neighbors Euclidean lattice. Lattice nodes can be occupied by the moving particles and the moving. In this paper, the possibility of the LGA models to simulate sound wave process in inhomogeneous media formed from two gases (helium and methane) are investigated.

Supported by 1)Presidium of Russian Academy of Sciences, Basic Research Program N 2 (2009), 2) Siberian Branch of Russian Academy of Sciences, Interdisciplinary Project N (2009).

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References

  1. Hardy, J., Pomean, Y., de Pazzis, O.: Time evolution of a two-dimensional model system. Journal of Math. Physics 14, 1746–1752 (1973)

    Article  Google Scholar 

  2. Zhang, M., Cule, D., Shafai, L., Bridges, G., Simons, N.: Computing electromagnetic fields in inhomogeneous media using lattice gas automata. In: Proceedings of 1998 Symposium on Antenna Technology and Applied Electromagnetics, Ottawa, Canada, August 14–16 (1998)

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  3. Simons, N.R.S., Bridges, G., Cuhachi, M.: A Lattice-Gas Automaton Capable of Modeling Three-Dimentional Electromagnetic Fields. Journal of Computational Physics 151, 816–835 (1999)

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  4. Markova, V.: Sound wave propagation simulation in an ingomogeneous medium using Lattice Gas Automata. Bull. Novosibirsk Comp. Center. Ser. Computer Science (27), 71–81 (2008)

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© 2009 Springer-Verlag Berlin Heidelberg

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Markova, V. (2009). LGA Method for 1D Sound Wave Simulation in Inhomogeneous Media. In: Malyshkin, V. (eds) Parallel Computing Technologies. PaCT 2009. Lecture Notes in Computer Science, vol 5698. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03275-2_24

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  • DOI: https://doi.org/10.1007/978-3-642-03275-2_24

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-03274-5

  • Online ISBN: 978-3-642-03275-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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