| Issue |
Europhys. Lett.
Volume 47, Number 2, July II 1999
|
|
|---|---|---|
| Page(s) | 182 - 188 | |
| Section | Electromagnetism, optics, acoustics, heat transfer, classical mechanics, and fluid dynamics | |
| DOI | https://doi.org/10.1209/epl/i1999-00370-1 | |
| Published online | 01 September 2002 | |
Perfect entropy functions of the Lattice Boltzmann method
ETH Zürich, Department of Materials, Institute of Polymers CH-8092 Zürich, Switzerland
Received:
4
January
1999
Accepted:
19
May
1999
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.
PACS: 47.11.+j – Computational methods in fluid dynamics
© EDP Sciences, 1999
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