Nonexistence of H Theorem for Some Lattice Boltzmann Models |
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| Authors: | Wen-an Yong Li-Shi Luo |
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| Affiliation: | 1. IWR, Universit?t Heidelberg, Im Neuenheimer Feld 294, 69120, Heidelberg, Germany
2. Department of Mathematics and Statistics, Old Dominion University, Norfolk, VA, 23529, USA
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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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| Keywords: | Lattice Boltzmann equation H-theorem |
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