| 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 Qian et al. Based on the knowledge of entropy functions, we introduce a new version of the Lattice Boltzmann method with an H theorem built in.
for LaTeX users @article{IVKarlin1999-47,
author = {I. V. Karlin and A. Ferrante and H. C. \"Ottinger},
title = {Perfect entropy functions of the Lattice Boltzmann method},
journal = {Europhys. Lett.},
volume = {47},
pages = {182-188},
year = {1999}
}
\bibitem{IVKarlin1999-47} I.V. Karlin, A. Ferrante, H.C. \"Ottinger,
Perfect entropy functions of the Lattice Boltzmann method,
Europhys. Lett. {\bf 47} (1999) 182-188.IVKarlin1999-47
I.V. Karlin, A. Ferrante, H.C. \"Ottinger
Perfect entropy functions of the Lattice Boltzmann method
Europhys. Lett.,47,1999,182-188 |
mk@mat.ethz.ch
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