Realization of isotropy of the lattice Boltzmann method via rotation of lattice velocity bases
We present a detailed algorithm of rotationally invariant lattice Boltzmann method (RILBM). The suggested approach overcomes discrete artifacts present in the standard lattice Bhatnagar, Gross, and Krook (LBGK) model by introducing a generalized particle collision operator in arbitrarily rotated frames. We demonstrate that the NavierStokes equations are exactly recovered through the ChapmanEnskog expansion, and present two computational cases that show independence of numerical results relative to the lattice orientation.
rotationally invariant lattice boltzmann method navierstokes equations