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A Bi-fluid Lattice Boltzmann Model for Water Flow in an Irrigation Channel

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Cellular Automata (ACRI 2006)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4173))

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Abstract

This paper is devoted to modelling of water flow dynamics in open-channels for the goal of controlling irrigation systems. We expose and validate a methodology based on Lattice Boltzmann models as an alternative to the commonly used Saint-Venant equations. We adapt a bi-fluid model to the case of a free surface water flow. A gravity force is applied to the heaviest fluid as to maintain it at the bottom. The considered boundary conditions take into account the control actions provided by the two underflow gates located at the left and right ends of the reach. Numerical results for density profiles are given to validate our approach.

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Author information

Authors and Affiliations

  1. MEPS/ASD, University of Perpignan, 52, Paul Alduy Avenue, 66860, Perpignan, Cedex, France

    Olivier Marcou & Samira El Yacoubi

  2. Computer Science Department, University of Geneva, 24 rue General-Dufour, CH-1211, Geneva 4, Switzerland

    Olivier Marcou & Bastien Chopard

Authors
  1. Olivier Marcou
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  2. Samira El Yacoubi
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  3. Bastien Chopard
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Editor information

Editors and Affiliations

  1. Laboratory of Mathematics, Physics and Systems, University of Perpignan, 52, Paul Alduy Avenue, 66860, Perpignan, Cedex, France

    Samira El Yacoubi

  2. Computer Science Department, University of Geneva, Switzerland

    Bastien Chopard

  3. Research Center on Complex Systems and Artificial Intelligence (CSAI) Department of Computer Science, Systems and Communication (DISCo), University of Milan, Bicocca viale Sarca, 336, 20126, Milan, (Italy)

    Stefania Bandini

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© 2006 Springer-Verlag Berlin Heidelberg

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Marcou, O., El Yacoubi, S., Chopard, B. (2006). A Bi-fluid Lattice Boltzmann Model for Water Flow in an Irrigation Channel. 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_44

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  • DOI: https://doi.org/10.1007/11861201_44

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-40929-8

  • Online ISBN: 978-3-540-40932-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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