中文摘要：

对最小二乘无网格方法在含复杂外形三维超音速流场中的应用进行了研究。选用分解法求解采用最小二乘法得到的对称方程组,针对最小二乘无网格方法的计算特点生成近似正交均匀分布的离散点,对B1AC2R常规导弹超音速流场采用最小二乘无网格方法进行了无粘数值模拟,计算了B1AC2R常规导弹在不同攻角下的轴向力、法向力及俯仰力矩系数,并将数值结果与实验结果进行了比较。结果表明,最小二乘无网格方法在求解含复杂外形超音速流场时具有较高的准确度,将其应用于三维含复杂外形超音速流场的模拟是完全可行的。

英文摘要：

Application of 3D least squares meshless method is studied in complex supersonic flow field in present paper. Discrete points approximating orthogonal uniform distribution are generated aiming at the calculated characteristics of least squares meshless method. And the flow field of B1AC2R generic missile in supersonic is computed by least squares method. Viscosity is not considered. Axial/Normal force and pitching moment coefficients of missile are analyzed at different angles of attack respectively. The simulation results agree well with the experiment results. All these results demonstrate that the proposed meshless method can be applied to simulate the complex flow problems accurately and practicability.