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Entropy Function Approach to the Lattice Boltzmann Method

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Abstract

In this paper, we present the construction of the Lattice Boltzmann method equipped with the H-theorem. Based on entropy functions whose local equilibria are suitable to recover the Navier–Stokes equations in the framework of the Lattice Boltzmann method, we derive a collision integral which enables simple identification of transport coefficients, and which circumvents construction of the equilibrium. We discuss performance of this approach as compared to the standard realizations.

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Authors and Affiliations

  1. Department of Materials, Institute of Polymers, ETH Zürich, ETH-Zentrum, ML J 19, Sonneggstr. 3, CH-8092, Zürich, Switzerland

    Santosh Ansumali & Iliya V. Karlin

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  1. Santosh Ansumali
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  2. Iliya V. Karlin
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Ansumali, S., Karlin, I.V. Entropy Function Approach to the Lattice Boltzmann Method. Journal of Statistical Physics 107, 291–308 (2002). https://doi.org/10.1023/A:1014575024265

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