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July 14, 2020 at 5:31 pm #5065
stephan
Moderator

Hi Duldul,

thanks for your question.

In general, for the incompressible NSE the error of LBM introduced by the Mach number is computable as O(Ma^2) and vanishes in the diffusion limit.

For a discussion of the density error in particular, please have a look at Krüger et al. 2017 “The Lattice Boltzmann Method: Principles and Practice” (Section 4.3.2 Incompressible Flow).

BR
Stephan