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采用格林函数法求解亚音速非定常气动力,给出适用于复杂外形气动力计算的格林函数法一般原理.以单独机翼为例,采用有限面无法将翼面分成许多四边形网格,离散扰动速度势方程,求解一个以扰动速度势为未知数的线性代数方程组.得到扰动速度势后,求出频域内的压力系数、升力系数和力矩系数,最后采用付里叶变换及最小方差原理将气动力系数的频域解化为时域解,即指示函数.数值计算表明,采用格林函数法计算气动万,不仅方法简单,结果准确,而且运算速度较快.
The Green function method is used to solve subsonic unsteady aerodynamics, and the general principle of Green’s function method, which is suitable for aerodynamic calculation of complex shape, is given. Taking a single wing as an example, the finite plane can not divide the airfoil into many quadrilateral meshes, and discrete the perturbation velocity potential equation to solve a linear algebraic equation group whose perturbation velocity is unknown. After obtaining the perturbation velocity, the pressure coefficient, lift coefficient and torque coefficient in the frequency domain are obtained. Finally, the Fourier transform and minimum variance principle are used to decompose the frequency domain of the aerodynamic coefficient into the time domain solution, that is, the indicator function. Numerical calculations show that the use of Green’s function method to calculate pneumatic million, not only the method is simple, the result is accurate, and the computational speed is faster.