一种高效的组合动导数分量数值模拟算法

An effective method for numerical simulation of individual components of pitching combined dynamic derivative

基于传统网格速度法,发展了在流场网格不变的情况下,数值模拟沉浮运动、纯俯仰运动和俯仰振荡运动的算法,提出了一套直接求解旋转阻尼导数和洗流时差导数的方法,该方法不需要实时更新网格,减少了计算时间和所需内存,避免了负体积的出现。首先通过NACA 0006的阵风响应和NACA 0012翼型的强迫俯仰振荡,验证了程序和方法的正确性;然后数值模拟了BFM(basic finner missile)标准模型的沉浮运动、纯俯仰运动和俯仰振荡运动,并计算了其旋转阻尼导数、洗流时差导数和组合动导数,所得结果与动网格方法和风洞试验值吻合,最大误差不超过4%,进一步验证了该方法的正确性。

Based on the field velocity approach,an effective method was presented for numerical simulating of floating motion,pure pitch motion and pitching oscillation,and then the lag of wash derivative and the pitch-damping derivative was directly calculated,without the mesh movement.Without the need to update the grid in real time,this approach reduced the time and memory required for computation,and avoided the negative volume.Numerical results were validated by comparison with the experiment results for NACA 0006 airfoil with gust response and NACA 0012 airfoil with forced oscillation.To validate the applicability for the present method farther,pitching combined dynamic derivative and its individual components were calculated from load history of the unsteady flow around a standard research configuration,known as the basic finner missile（BFM）.Predicted results showed a good a-greement with the available wind tunnel data,the maximum error was no more than 4%.