曲线坐标系下非线性时变湍流信号处理与分析

Signal processing and analysis of nonlinear time-varying turbulence in a curvilinear coordinates system

为了研究湍流特性以及定量分析湍流对飞行器的影响,本文将笛卡尔坐标系和圆柱坐标系进行转换、建立了危险因子数学模型,同时在雅可比行列式不为零的情况下,建立了任意曲线坐标系;根据拉梅系数和湍流的连续方程与运动方程建立了湍流的边界方程组,根据建立的边界方程组可以求出所有网格点的坐标;提出了一种湍流信号处理算法。仿真结果表明,建立的任意曲线坐标系和危险因子能够较好地反映湍流的特性,提出的信号处理算法能够真实有效地对湍流进行检测与预估。

In order to research turbulence properties and qualitatively analyze the influence of turbulence on aircraft, the Cartesian coordinate system and the cylindrical coordinate system were converted to each other in this paper, and the mathematical model of risk factors was established. Simultaneously assuming that the Jacobi determinant is not zero, an arbitrary curvilinear coordinate system was established. The turbulent boundary equations were built accord-ing to the Lame coefficient and the turbulent motion equation, and then the coordinates of all the grid points were calculated. A turbulent signal processing algorithm was proposed. The simulation results show that the established arbitrary curvilinear coordinate system and risk factors can better reflect the characteristics of turbulence, and the proposed turbulence signal processing algorithm can realistically detect and forecast the turbulence effectively.