Entropy Function Approach to the Lattice Boltzmann Method |
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Authors: | Santosh Ansumali Iliya V. Karlin |
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Affiliation: | (1) Department of Materials, Institute of Polymers, ETH Zürich, ETH-Zentrum, ML J 19, Sonneggstr. 3, CH-8092 Zürich, Switzerland |
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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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Keywords: | kinetic theory H-theorem Lattice Boltzmann method stability |
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