In the field of supercritical wing design,various principles and rules have been summa-rized through theoretical and experimental analyses.Compared with black-box relationships between geometry parameters and performances,quantitative physical laws about pressure distri-butions and performances are clearer and more beneficial to designers.With the advancement of computational fluid dynamics and computational intelligence,discovering new rules through statis-tical analysis on computers has become increasingly attractive and affordable.This paper proposes a novel sampling method for the statistical study on pressure distribution features and perfor-mances,so that new physical laws can be revealed.It utilizes an adaptive sampling algorithm,of which the criteria are developed based on Kullback-Leibler divergence and Euclidean distance.In this paper,the proposed method is employed to generate airfoil samples to study the relation-ships between the supercritical pressure distribution features and the drag divergence Mach number as well as the drag creep characteristic.Compared with conventional sampling methods,the pro-posed method can efficiently distribute samples in the pressure distribution feature space rather than directly sampling airfoil geometry parameters.The corresponding geometry parameters are searched and found under constraints,so that supercritical airfoil samples that are well distributed in the pressure distribution space are obtained.These samples allow statistical studies to obtain more reliable and universal aerodynamic rules that can be applied to supercritical airfoil designs.

Runze LI;Yufei ZHANG;Haixin CHEN

School of Aerospace Engineering,Tsinghua University,Beijing 100084,China

中国航空学报（英文版）

[1]Runze LI;Yufei ZHANG;Haixin CHEN-.Pressure distribution feature-oriented sampling for statistical analysis of supercritical airfoil aerodynamics)[J].中国航空学报（英文版）,2022(04):134-147

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