On Initial Conditions for the Lattice Boltzmann Method. (30th July 2015)

• Record Type: Journal Article
• Authors: Huang, Juntao; Wu, Hao; Yong, Wen-An
• Is Part Of: Communications in computational physics. Volume 18:Number 2(2015:Aug.)
• Page Start: 450
• Page End: 468
• Publication Date: 2015-07-30
• Subjects: Mathematical physics -- Data processing -- Periodicals; Physics -- Data processing -- Periodicals; 530.150285
• DOI: 10.4208/cicp.040913.220115a
• Languages: English
• ISSNs: 1815-2406

Abstract

<abstract abstract-type="normal"> <title>Abstract</title> <p>In this paper, we propose two initialization techniques for the lattice Boltzmann method. The first one is based on the theory of asymptotic analysis developed in [M. Junk and W.-A. Yong, Asymptotic Anal., 35(2003)]. By selecting consistent macroscopic quantities, this initialization leads to the second-order convergence for both velocity and pressure. Another one is an improvement of the consistent initial conditions proposed in [R. W. Mei, L.-S. Luo, P. Lallemand and D. d'Humières, Comput. Fluids, 35(2006)]. The improvement involves a modification of the collision term and a reconstruction step. Numerical examples confirm the accuracy and efficiency of our techniques.</p> </abstract>