Volume 47, Number 2, July II 1999
|Page(s)||182 - 188|
|Section||Electromagnetism, optics, acoustics, heat transfer, classical mechanics, and fluid dynamics|
|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
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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