Reply To: compressibility effects
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).