A factorized central moment lattice Boltzmann method
- 356 Downloads
We determine appropriate attractors for higher than third-order central moments for the relaxation process in three-dimensional lattice Boltzmann methods. It was previously assumed that the appropriate attractors for the relaxation of these moments were their equilibria values as derived from a Maxwell-Boltzmann distribution. However, when the attractor for fourth-order central moments is derived that way, the solution of three-dimensional lattice Boltzmann differs significantly from the analytical solution of the Navier-Stokes equation for simple test cases like Poiseuille flow. We show that the Navier-Stokes solution is recovered when we chose products of low order central moments as the attractors of the higher order central moments.
KeywordsEuropean Physical Journal Special Topic Lattice Boltzmann Method Central Moment Lattice Boltzmann Model Galilean Invariance
Unable to display preview. Download preview PDF.
- M. Junk, A. Klar, L.-S. Luo, J. Comput. Phys. 210, 676 (2005)Google Scholar
- P.-L. Bhatnagar, E.-P. Gross, M. Krook, Phys. Rev. 94, 511 (1954)Google Scholar
- P. Lallemand, L.-S. Luo, Phys. Rev. E 61, 6546 (2000)Google Scholar
- D. d'Humières, I. Ginzburg, M. Krafczyk, P. Lallemand, L.-S. Luo, Phil. Trans. R. Soc. Lond. A 360, 437 (2002)Google Scholar
- P. Lallemand, L.-S. Luo, Phys. Rev. E 68, 036706 (2003)Google Scholar
- S. Ansumali, I.-V. Karlin, Phys. Rev. E 62, 7999 (2000)Google Scholar
- B.-M. Boghosian, P.-J. Love, P.-V. Coveney, I.-V. Karlin, S. Succi, J. Yepez, Phys. Rev. E 68, 025103 (2003)Google Scholar
- M. Geier, A. Greiner, J.G. Korvink, Phys. Rev. E 73, 066705 (2006)Google Scholar
- M. Geier, A. Greiner, J.G. Korvink, Techn. Proc. 2004 NSTI Nanotechnol. Conf. Trade Show 1, 255 (2004)Google Scholar
- M. Geier, A. Greiner, J.G. Korvink, Int. J. Mod. Phys. C 18, 455 (2007)Google Scholar