为进一步认识吻切锥变马赫数乘波飞行器（Osculating Cone Variable Mach number WaveRider，OCVMWR）设计方法、拓展乘波飞行器在空天飞机等可重复使用飞行器设计领域的实用性，利用数值仿真方法对比了设计马赫数离散方法对吻切锥变马赫数乘波飞行器几何构型和气动性能的影响。为确保开展的研究具有代表性，从函数的（非）线性、单调性和凹凸性3个方面出发，选取了线性递减函数、正弦函数、余弦函数、1-正弦函数和1-余弦函数作为给定设计马赫数区间的离散方法。研究结果表明，设计马赫数离散方法的不同特性均对OCVMWR的几何构型和气动性能产生了不同程度上的影响；其中，单调性的影响最大。具体来说，离散方法具有单调递增性质的OCVMWR构型比具有单调递减性质的OCVMWR构型在构型中间处更长、更厚一些，而在构型边缘处则更窄一些；同时，其升阻比更低。
To gain a deeper understanding of the design approach to the Osculating Cone Variable Mach number WaveRider (OCVMWR) and expand the practicality of the waverider in the field of reusable launch vehicles such as spaceplanes, we comparatively study the effects of Mach number discrete method on the shape and aerodynamic performance of the OCVMWR using the computational fluid dynamics approach. Proceeding from the three aspects of the (non-) linearity, monotonicity, and concavity of the function, this study selects the linear decreasing function, sine function, cosine function, 1-sine function and 1-cosine function as the discrete methods to discretize the given design Mach number range so as to ensure the representativeness of the research. The obtained results show different degrees of influence on the configuration and aerodynamic performance of the OCVMWR by different properties of the Mach number discrete method with the monotonicity having the predominant influence. Specifically, the configuration of the OCVMWR with monotonically increasing properties in the discrete method is longer and thicker than that with monotonically decreasing properties in the discrete method in the middle of the configuration, and narrower at the edge of the configuration. Moreover, the lift-to-drag ratio of the OCVMWR with monotonically increasing properties in the discrete method is lower.
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