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On Modeling and Simulation of Flows of Water by 3D-Cellular Automata

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Computer Aided Systems Theory - EUROCAST 2003 (EUROCAST 2003)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2809))

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Abstract

By an earlier paper [1] a 3-D cellular automata model CA was suggested to investigate a possible existence of stable clusters in liquid water in (or after) a state of turbulence. In order to take in the model molecular forces into account, we proposed a model for the molecular level of description. To make such a cellular model as simple as possible the geometrical form of each cell was assumed to be a (regular) cube. Regarding the topology of the cellular automata model CA we assumed for each cell c the associated neighborhood N(c) consisting of the 6 cells c 0, c 1,...,c 5 which are adjacent to c (“von Neumann neighborhood”).

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References

  1. Pichler, F.: A basic framework for modeling the flow of water by cellular automata. In: BIOCOMP 2002, Vietri Sul Mare, Italy (2002) (accepted for publication)

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  2. Wolfram, S.: Theory and Applications of Cellular Automata. World Scientific, Singapore (1986)

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  3. Wolfram, S.: Cellular Automata and Complexity. Westview Press, Boulder (1994)

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  4. Chopard, B., Droz, M.: Cellular Automata Modeling of Physical Systems. Cambridge University Press, Cambridge (1988)

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  5. Rivet, J.-P., Boon, J.-P.: Lattice Gas Hydrodynamics. Cambridge University Press, Cambridge (2001)

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  6. Fried, A.: Cellular Water Simulator. Technical Report (11 pages). Systems Theory and Information Technology, University Linz (March 2003)

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Author information

Authors and Affiliations

  1. Institute of Systems Science, Johannes Kepler University Linz, Linz, Austria

    Franz Pichler

Authors
  1. Franz Pichler
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Editors and Affiliations

  1. Institute of Cybernetics, Universidad de Las Palmas de Gran Canaria, Spain

    Roberto Moreno-Díaz

  2. Systems Theory, Johannes Kepler University Linz, Altenbergerstrasse 69, A-4040, Linz, Austria

    Franz Pichler

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© 2003 Springer-Verlag Berlin Heidelberg

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Pichler, F. (2003). On Modeling and Simulation of Flows of Water by 3D-Cellular Automata. In: Moreno-Díaz, R., Pichler, F. (eds) Computer Aided Systems Theory - EUROCAST 2003. EUROCAST 2003. Lecture Notes in Computer Science, vol 2809. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-45210-2_1

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  • DOI: https://doi.org/10.1007/978-3-540-45210-2_1

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-20221-9

  • Online ISBN: 978-3-540-45210-2

  • eBook Packages: Springer Book Archive

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