Numerical solutions of two-dimensional Burgers’ equations by lattice Boltzmann method
Numerical solutions of two-dimensional Burgers’ equations by lattice Boltzmann method
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DOI：
10.1016/j.cnsns.2010.02.025
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发表时间：
2011
影响因子：
3.9
通讯作者：
Fang Liu;Shi Weiping
中科院分区：
文献类型：
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作者：
Fang Liu;Shi Weiping
本文用格子Boltzmann方法数值求解二维二元Burgers方程。我们采用的格子Bhatnagar-Gross-Krook模型可以恢复宏观方程的二阶精度。计算了各种雷诺数值、计算域、初始和边界条件的数值解，并与精确解或其他已发表的结果进行了验证。结果表明，该方法具有良好的性能。
In this paper, the two-dimensional Burgers’ equations with two variables are solved numerically by the lattice Boltzmann method. The lattice Bhatnagar–Gross–Krook model we used can recover the macroscopic equation with the second order accuracy. Numerical solutions for various values of Reynolds number, computational domain, initial and boundary conditions are calculated and validated against exact solutions or other published results. It is concluded that the proposed method performs well.