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Perfect entropy functions of the Lattice Boltzmann method
Europhysics Letters (EPL) · 1999 · Vol. 47(2) · pp. 182–188
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.
Lattice Boltzmann Simulation StudiesFluid Dynamics and Turbulent FlowsNavier-Stokes equation solutionsLattice Boltzmann methodsH-theoremBoltzmann's entropy formulaHPP modelStatistical physicsMathematicsEntropy (arrow of time)Boltzmann equationMaximum entropy probability distributionLattice (music)
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Generalized lattice Boltzmann method with multirange pseudopotential
Physical Review E · 2007 · 466 citations
References
Lattice BGK Models for Navier-Stokes Equation
Europhysics Letters (EPL) · 1992 · 5,155 citations
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