Enhanced lattice Bhatnagar-Gross-Krook method for fluid dynamics simulation
Abstract
A generalization of the lattice Bhatnagar-Gross-Krook (LBGK) model for the simulation of hydrodynamics is presented, which takes into account the difference and the frame-independence of the relaxation of non-hydrodynamic modes. The present model retains the computationally efficient standard LBGK form with the generalized equilibrium explicitly derived. The two-dimensional realization on the standard lattice is discussed in detail. Performance of the model is assessed through a shear layer simulation and enhanced stability and accuracy with respect to the standard LBGK are reported. The results demonstrate that the present model is a useful upgrade of the standard LBGK without compromising its computational efficiency and accuracy.
Cite
@article{arxiv.1107.3309,
title = {Enhanced lattice Bhatnagar-Gross-Krook method for fluid dynamics simulation},
author = {I. V. Karlin and D. Lycett-Brown and K. H. Luo},
journal= {arXiv preprint arXiv:1107.3309},
year = {2011}
}
Comments
Submitted to Phys. Rev. E, 11-MAR-2011; revised