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Nonexistence of H Theorem for Some Lattice Boltzmann Models

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Abstract

In this paper, we provide a set of sufficient conditions under which a lattice Boltzmann model does not admit an H theorem. By verifying the conditions, we prove that a number of existing lattice Boltzmann models does not admit an H theorem. These models include D2Q6, D2Q9 and D3Q15 athermal models, and D2Q16 and D3Q40 thermal (energy-conserving) models. The proof does not require the equilibria to be polynomials.

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Authors and Affiliations

  1. IWR, Universität Heidelberg, Im Neuenheimer Feld 294, 69120, Heidelberg, Germany

    Wen-an Yong

  2. Department of Mathematics and Statistics, Old Dominion University, Norfolk, VA, 23529, USA

    Li-Shi Luo

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  1. Wen-an Yong
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  2. Li-Shi Luo
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Correspondence to Wen-an Yong.

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Yong, Wa., Luo, LS. Nonexistence of H Theorem for Some Lattice Boltzmann Models. J Stat Phys 121, 91–103 (2005). https://doi.org/10.1007/s10955-005-5958-9

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  • DOI: https://doi.org/10.1007/s10955-005-5958-9

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