摘要
针对非线性时间分数阶空气动力学方程,提出了一种新的格子Boltzmann模型.通过使用Chapman-Enskog展开和时间多尺度展开技术,得到了一系列不同时间尺度上的系列偏微分方程.选择合适的平衡态分布函数的矩,恢复出宏观方程,数值模拟出非线性时间分数阶空气动力学方程的解.数值实验表明,格子Boltzmann方法是研究非线性时间分数阶空气动力学方程的有效工具.
In this paper,a new lattice Boltzmann model is proposed for nonlinear time fractional order aerodynamic equations.By using Chapman-Enskog expansion and time multiscale expansion techniques,a series of partial differential equations on different time scales are obtained.The macroscopic equations are recovered by choosing appropriate moments of the equilibrium state distribution function,and the solutions of the nonlinear time-fractional order aerodynamic equations are simulated numerically.Numerical experiments show that the lattice Boltzmann method is an effective tool for studying the nonlinear time-fractional order aerodynamic equations.
作者
王慧敏
陈恒佳
WANG Huimin;CHEN Hengjia(College of Applied Mathematics,Jilin University of Finance and Economics,Changchun 130117,China)
出处
《长春师范大学学报》
2024年第10期1-5,共5页
Journal of Changchun Normal University
基金
吉林省自然科学基金项目“基于随机格子Boltzmann方法的不确定性影响下光纤中光孤子传输的数值模拟研究”(YD ZJ202201ZYTS535)
吉林省教育厅科学技术研究项目“基于格子Boltzmann方法的分数阶偏微分方程数值解”(JJKH20220151KJ)。