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cond-mat.stat-mech2010
Time Step Expansions and the Invariant Manifold Approach to Lattice Boltzmann Models
David J. Packwood, Jeremy Levesley, Alexander N. Gorban
The classical method for deriving the macroscopic dynamics of a lattice Boltzmann system is to use a combination of different approximations and expansions. Usually a Chapman-Ensko…
cond-mat.stat-mech2009★ 8 cited
Entropy Balance and Dispersive Oscillations in Lattice Boltzmann Models
D. Packwood
We conduct an investigation into the dispersive post-shock oscillations in the entropic lattice-Boltzmann method (ELBM). To this end we use a root finding algorithm to implement th…