Lattices for the lattice Boltzmann method

Chikatamarla, S.S. and Karlin, I.V. (2009) Lattices for the lattice Boltzmann method Physical Review E, 79, (4), p. 46701. (doi:10.1103/PhysRevE.79.046701).


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A recently introduced theory of higher-order lattice Boltzmann models [Chikatamarla and Karlin, Phys. Rev.
Lett. 97, 190601 (2006)] is elaborated in detail. A general theory of the construction of lattice Boltzmann
models as an approximation to the Boltzmann equation is presented. New lattices are found in all three
dimensions and are classified according to their accuracy (degree of approximation of the Boltzmann equation).
The numerical stability of these lattices is argued based on the entropy principle. The efficiency and accuracy
of many new lattices are demonstrated via simulations in all three dimensions.

Item Type: Article
Digital Object Identifier (DOI): doi:10.1103/PhysRevE.79.046701
ISSNs: 1539-3755 (print)
ePrint ID: 155929
Date :
Date Event
Date Deposited: 01 Jun 2010 15:03
Last Modified: 18 Apr 2017 04:02
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