Title: Revisiting two-dimensional turbulence by Lattice Boltzmann Method

Authors: Hui Xu, Yue-Hong Qian, Wen-Quan Tao

Addresses: School of Energy and Power Engineering, Xi'an Jiao tong University, Xi'an, Shaanxi 710049, China. ' Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China. ' School of Energy and Power Engineering, Xi'an Jiao tong University, Xi'an, Shaanxi, 710049, China

Abstract: In this paper, Lattice Boltzmann Method (LBM) is used to investigate the freely-decaying two-dimensional (2D) turbulence. The main purpose focuses on recent mathematical results about a central assumption in the theory of two-dimensional turbulence proposed by Batchelor. The numerical results found an approximate exponent of energy spectrum E(k) ∼ k−3.5 at the high mesh resolutions and an approximate decaying exponent of enstrophy ‹ω› ∼ T−2/3. In addition, an approximate exponent of integral length scale l ∼ T−1/2 is observed. These results validate the recent new results of 2D turbulence and are different from the results derived by Batchelor|s 2D model.

Keywords: two-dimensional turbulence; 2D turbulence; kinetic energy; enstrophy; integral length scale; LBM; lattice Boltzmann method.

DOI: 10.1504/PCFD.2009.024808

Progress in Computational Fluid Dynamics, An International Journal, 2009 Vol.9 No.3/4/5, pp.133 - 140

Published online: 01 May 2009 *

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