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Volume 18, Issue 2
On Initial Conditions for the Lattice Boltzmann Method

Juntao Huang, Hao Wu & Wen-An Yong

DOI: 10.4208/cicp.040913.220115a

Commun. Comput. Phys., 18 (2015), pp. 450-468.

Published online: 2018-04

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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.

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@Article{CiCP-18-450, author = {Juntao Huang, Hao Wu and Wen-An Yong}, title = {On Initial Conditions for the Lattice Boltzmann Method}, journal = {Communications in Computational Physics}, year = {2018}, volume = {18}, number = {2}, pages = {450--468}, 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.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.040913.220115a}, url = {http://global-sci.org/intro/article_detail/cicp/11035.html} }
TY - JOUR T1 - On Initial Conditions for the Lattice Boltzmann Method AU - Juntao Huang, Hao Wu & Wen-An Yong JO - Communications in Computational Physics VL - 2 SP - 450 EP - 468 PY - 2018 DA - 2018/04 SN - 18 DO - http://doi.org/10.4208/cicp.040913.220115a UR - https://global-sci.org/intro/article_detail/cicp/11035.html KW - AB -

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.

Juntao Huang, Hao Wu and Wen-An Yong. (2018). On Initial Conditions for the Lattice Boltzmann Method. Communications in Computational Physics. 18 (2). 450-468. doi:10.4208/cicp.040913.220115a
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