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利用直接数值模拟方法 ,模拟了二维超声速剪切流动中的小扰动波随时间发展在空间上的传播过程 ,由此分析其稳定性。通过相图分析、李雅普诺夫指数分析和分维分析 ,本文得到了二维超声速自由剪切层流动由线性到非线性失稳过程的数学特征。结果分析表明 ,在本文的计算条件下 ,二维超声速混合层流动在失稳过程中出现了间歇现象 ,并进入了混沌运动的初期阶段
The direct numerical simulation method was used to simulate the propagation of the small perturbation wave in the two-dimensional supersonic shear flow with time and to analyze its stability. Through the phase diagram analysis, Lyapunov exponent analysis and fractal dimension analysis, the mathematical characteristics of two-dimensional supersonic free-shear layer flow from linear to nonlinear instability are obtained. The results show that under the condition of this paper, the flow of two-dimensional supersonic mixing layer appears intermittent during the instability and enters the initial stage of chaos