Supersonic flows around diamond airfoils, under large-amplitude step motion, are analytically studied. Nine regions with distinct flow structures are identified on each side. These regions include intricate wave structures and significantly shape the indicial response. The novelty of this work is to develop theoretical models, capable of describing each region’s wave speed, pressure, and force. We achieve this by correcting the linear solution to the problem and incorporating nonlinear effects of large angle and airfoil thickness. Our model reports good accuracy regarding the computational fluid dynamics. And three stages, which are predicted by this model, precisely capture important features of aerodynamic force evolution.

中文翻译：

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金刚石翼型的非线性超音速指示响应

分析研究了大振幅步进运动下金刚石翼型周围的超音速流动。在每一侧都确定了九个具有不同流动结构的区域。这些区域包括复杂的波浪结构并显着地塑造了指示响应。这项工作的新颖之处在于开发了能够描述每个区域的波速、压力和力的理论模型。我们通过修正问题的线性解并结合大角度和翼型厚度的非线性效应来实现这一点。我们的模型报告了关于计算流体动力学的良好准确性。该模型预测的三个阶段准确捕捉了气动力演化的重要特征。