基于Euler方程解摄动的超声速旋转导数计算方法

基于笛卡尔网格和采用Euler方程基本流场解,通过Riemann不变量摄动,对旋转扰动引起的物面法向速度构建摄动关系,发展了一种超声速旋转导数快速计算方法。文中给出了具体的推导过程,可以看出由此得到的超声速旋转导数,仅与定常欧拉解基本流相关。因此,一旦CFD计算得到定常欧拉解,就可一次性地快速计算出感兴趣的超声速旋转导数。为了验证该计算方法,本文选用国际动导数标准模型Basic Finner算例进行了计算,计算结果与试验数据、文献数据具有很好的一致性,展示出本文方法计算耗时少、精度高、工程实用性强等优点,且该算法基于笛卡尔网格,特别适合复杂气动外形飞行器超声速旋转导数的快速计算。

Computational Method of Supersonic Rotary Derivatives Based upon Perturbation on Euler Equation Solution

A method for rapid computation of supersonic rotary derivatives is developed. It is based upon perturbation relation between rotary derivatives and normal velocity on surface due to angular velocity according to Riemann invariant and Euler equations solution using Cartesian meshes. The resulting formula of supersonic rotary derivatives depends only on steady Euler solution of the basic flow, therefore, all supersonic rotary derivatives of interest can be obtained at the same time after obtaining the CFD steady-state Euler solutions. The international dynamic derivatives standard model "Basic Finner" is studied as an example to validate the method. The calculating results are in agreement well with experimental data and reference data appeared in open literature. It is proved that the proposed method has less runtime, higher accuracy and better practicability in engineering, and can be used to rapidly calculate the supersonic rotary derivatives of flying vehicles with complicated configurations due to using Euler solutions of Cartesian meshes.