Xiaoyi He and Li-Shi Luo (1997)

Theory of the lattice Boltzmann method : From the Boltzmann equation to the lattice Boltzmann equation, Phys. Rev. E, 56, 6811-6818

This is one of the first papers describing the discretization of the continuous Boltzmann-BGK equation to recover the lattice Boltzmann scheme. The paper is mainly of theoretical interest since it does not address implementation issues. Please note that the developments in this paper only recover first-order time accuracy of the scheme, whereas it was later proved to be second-order accurate, as shown in He et al. 98 or in Dellar 2003.

 
literature/he_97.txt · Last modified: 2011/10/29 19:08 (external edit)
 
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