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应用发端于微观分子动力学的蒙特卡罗直接模拟(DSMC)方法实现了RB(Rayleigh Bénard)对流的数值模拟,并在此基础上得到了与线性稳定性理论分析结果相一致的RB系统第一次分叉的临界瑞利数;通过对大瑞利数下RB系统中心点处温度信号进行功率谱分析,得到RB系统通向混沌的倍周期分叉路径,同时应用现代混沌分析方法研究了RB对流系统的关联维、最大Lyapunov指数等非线性特征。
The numerical simulation of RB (Rayleigh Bénard) convection was carried out by means of Monte Carlo direct simulation (DSMC) which originated in the microcosmic molecular dynamics. On the basis of that, the first RB system was obtained which was consistent with the theoretical analysis of linear stability The bifurcation of the critical Rayleigh number; through the RBF center point of the large Rayleigh number of the power spectrum analysis of the signal obtained by the RB system to the chaotic cycle multiply bifurcation path, at the same time the application of modern chaos analysis RB Convection system correlation dimension, maximum Lyapunov exponent and other nonlinear characteristics.