Stabilization of the Lattice Boltzmann Method Using Information Theory
Computational Physics
2018-01-12 v1 Fluid Dynamics
Abstract
A novel Lattice Boltzmann method is derived using the Principle of Minimum Cross Entropy (MinxEnt) via the minimization of Kullback-Leibler Divergence (KLD). By carrying out the actual single step Newton-Raphson minimization (MinxEnt-LBM) a more accurate and stable Lattice Boltzmann Method can be implemented. To demonstrate this, 1D shock tube and 2D lid-driven cavity flow simulations are carried out and compared to Single Relaxation Time LBM, Two Relaxation Time LBM, Multiple Relaxation Time LBM and Eherenfest Step LBM.
Cite
@article{arxiv.1801.03863,
title = {Stabilization of the Lattice Boltzmann Method Using Information Theory},
author = {Tyler L Wilson and Mary Pugh and Francis Dawson},
journal= {arXiv preprint arXiv:1801.03863},
year = {2018}
}
Comments
12 pages, 6 figures