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利用一种双时间方法求解三维非定常欧拉方程,采用无限插值理论生成0-H型代数网格,考虑了机翼变形时的网格生成问题,通过与气动力方程的联立求解,在时间域内用二阶龙格一库塔方法求解机翼弹性运动方程。计算结果表明,本文计算方法具有较高的计算效率,所计算的颤振临界速度与风洞实验一致。
A two-time method is used to solve the three-dimensional unsteady Euler equations. The infinite-valued interpolation theory is used to generate the 0-H algebraic grids. The generation of the grids when the wing is deformed is considered. By solving the aerodynamic equations in parallel, Second Runge-Kutta Method to Solve the Elastic Movement Equation of the Wing in Time Domain. The calculation results show that the calculation method in this paper has high computational efficiency, and the calculated critical flutter speed is consistent with the wind tunnel experiment.