Title: Entropic Lattice Boltzmann Method for high Reynolds number fluid flows

Authors: Hui Xu, Hui-Bao Luan, Gui-Hua Tang, Wen-Quan Tao

Addresses: School of Energy and Power Engineering, Xi'an Jiao tong University, Xi'an, Shaanxi, 710049, PR China. ' School of Energy and Power Engineering, Xi'an Jiao tong University, Xi'an, Shaanxi, 710049, PR China. ' School of Energy and Power Engineering, Xi'an Jiao tong University, Xi'an, Shaanxi, 710049, PR China. ' School of Energy and Power Engineering, Xi'an Jiao tong University, Xi'an, Shaanxi, 710049, PR China

Abstract: The Lattice Boltzmann Method (LBM) has emerged as a computationally efficient and increasingly popular numerical method for simulating complex fluid flow. However, the standard LBM has always suffered from severe numerical instability. In this paper, we mainly focus on Entropic Lattice Boltzmann Methods (ELBM) for high Reynolds number fluid flow. ELBM, which is derived from H-theorem, enhances the numerical stability of LBM. The compliance of ELBM with H-theorem makes ELBM much more stable than the standard LBM, but the computational cost increases because of solving a non-linear equation. We propose a new optimisation strategy to improve the efficiency of ELBM, and also implement some numerical tests to validate the computational stabilities and correctness.

Keywords: lattice Boltzmann method; ELBM; entropic LBM; optimisation strategies; H-theory; Lyapunov function; Lyapunov stability; entropic function; fluid flow; simulation; high Reynolds number.

DOI: 10.1504/PCFD.2009.024818

Progress in Computational Fluid Dynamics, An International Journal, 2009 Vol.9 No.3/4/5, pp.183 - 193

Published online: 01 May 2009 *

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