Yang Wei, Li Chunguang
School of Mathematics and Information Science, North Minzu University, Yinchuan 750021, China.
Entropy (Basel). 2022 Mar 30;24(4):486. doi: 10.3390/e24040486.
A general propagation lattice Boltzmann model is used to solve Boussinesq equations. Different local equilibrium distribution functions are selected, and the macroscopic equation is recovered with second order accuracy by means of the Chapman-Enskog multi-scale analysis and the Taylor expansion technique. To verify the effectiveness of the present model, some Boussinesq equations with initial boundary value problems are simulated. It is shown that our model can remain stable and accurate, which is an effective algorithm worthy of promotion and application.
采用一种通用的传播格子玻尔兹曼模型来求解布辛涅斯克方程。选择了不同的局部平衡分布函数，并通过查普曼 - 恩斯科格多尺度分析和泰勒展开技术以二阶精度恢复宏观方程。为验证当前模型的有效性，对一些具有初边值问题的布辛涅斯克方程进行了模拟。结果表明，我们的模型能够保持稳定和准确，是一种值得推广应用的有效算法。
