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On Initial Conditions for the Lattice Boltzmann Method

Published online by Cambridge University Press:  30 July 2015

Juntao Huang ,
Hao Wu  and
Wen-An Yong
Juntao Huang
Affiliation:
Zhou Pei-Yuan Center for Applied Mathematics, Tsinghua University, Beijing 100084, China
Hao Wu*
Affiliation:
Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China
Wen-An Yong
Affiliation:
Zhou Pei-Yuan Center for Applied Mathematics, Tsinghua University, Beijing 100084, China
*
*Corresponding author. Email addresses: huangjt13@mails.tsinghua.edu.cn (J. Huang), hwu@tsinghua.edu.cn (H.Wu), wayong@tsinghua.edu.cn (W.-A. Yong)
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Abstract

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.

Keywords

65M0676M20Lattice Boltzmann methodinitial conditionsasymptotic analysisincompressible Navier-Stokes equation
Type
Research Article
Information
Communications in Computational Physics , Volume 18 , Issue 2 , August 2015 , pp. 450 - 468
Copyright
Copyright © Global-Science Press 2015 

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