Perfect entropy functions of the Lattice Boltzmann method
- 15 July 1999
- journal article
- Published by IOP Publishing in Europhysics Letters
- Vol. 47 (2) , 182-188
- https://doi.org/10.1209/epl/i1999-00370-1
Abstract
In this letter, we derive entropy functions whose local equilibria are suitable to recover the Navier-Stokes equations in the framework of the Lattice Boltzmann method. For the two-dimensional nine-velocity lattice we demonstrate that such an entropy function is unique, and that the expansion of the corresponding local equilibrium is the well-known local equilibrium of Y. H. Qian et al. (Europhys. Lett., 17 (1992) 479). Based on the knowledge of entropy functions, we introduce a new version of the Lattice Boltzmann method with an H-theorem built in.Keywords
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