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Energy-Conserving Lattice Boltzmann Thermal Model in Two Dimensions

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Abstract

A discrete velocity model is presented for lattice Boltzmann thermal fluid dynamics. This model is implemented and tested in two dimensions with a finite difference scheme. Comparison with analytical solutions shows an excellent agreement even for wide temperature differences. An alternative approximate approach is then presented for traditional lattice transport schemes

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Authors and Affiliations

  1. Laboratoire d’Energétique EA 810, Université Paul Sabatier, 118 route de Narbonne, 31062, Toulouse, Cedex, France

    Benjamin Piaud, Stéphane Blanco & Richard Fournier

  2. Laboratoire de Génie Chimique UMR 5503, Université Paul Sabatier, 118 route de Narbonne, 31062, Toulouse, Cedex, France

    Benjamin Piaud & Michael J. Clifton

Authors
  1. Benjamin Piaud
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  2. Stéphane Blanco
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  3. Richard Fournier
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  4. Michael J. Clifton
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Correspondence to Benjamin Piaud.

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Piaud, B., Blanco, S., Fournier, R. et al. Energy-Conserving Lattice Boltzmann Thermal Model in Two Dimensions. J Stat Phys 121, 119–131 (2005). https://doi.org/10.1007/s10955-005-5256-6

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  • DOI: https://doi.org/10.1007/s10955-005-5256-6

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