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.
关键词
格子Boltzmann方法/非线性时间分数阶空气动力学方程/数值模拟
Key words
lattice Boltzmann method/nonlinear time-fractional order aerodynamic equations/numerical simulation
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