On Initial Conditions for the Lattice Boltzmann Method

被引：5

作者：

Huang, Juntao ^{[1
]}

Wu, Hao ^{[2
]}

Yong, Wen-An ^{[1
]}

机构：

[1] Tsinghua Univ, Zhou Pei Yuan Ctr Appl Math, Beijing 100084, Peoples R China

[2] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China

来源：

COMMUNICATIONS IN COMPUTATIONAL PHYSICS | 2015年 / 18卷 / 02期

关键词：

Lattice Boltzmann method; initial conditions; asymptotic analysis; incompressible Navier-Stokes equation; MODEL; FLOWS;

D O I：

10.4208/cicp.040913.220115a

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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'Humieres, 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.

引用

页码：450 / 468

页数：19

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