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24 January 2026

Algebraic Prediction of Pressure and Lift for High-Angle-of-Attack Supersonic Asymmetric Delta Wings Based on Geometric Similarity

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Department of Engineering Mechanics, Tsinghua University, Beijing 100084, China
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Fluids2026, 11(2), 30;https://doi.org/10.3390/fluids11020030 
(registering DOI)
This article belongs to the Special Issue High-Speed Processes in Continuous Media

Abstract

In this paper, we explore the feasibility of deriving a simple, physically meaningful, and compact formulation for the pressure distribution and lift of an asymmetric delta wing at high angles of attack with an attached shock wave. Such a model would be valuable for rapid engineering analysis. Our approach begins with a compact pressure approximation in the linear regime, which is then extended to the nonlinear case through a geometric transformation and the assumption of functional similarity between linear and nonlinear solutions. This method bridges the solution in the central nonuniform flow region to the exact solutions in the uniform flow regions near the leading-edge shock waves, in a manner analogous to methods used for supersonic starting flow. The model is shown to reproduce existing results for both symmetric and yawed delta wings within an acceptable error margin, providing a compact explicit expression for the normal force coefficient as a weighted average of pressure coefficients from the two uniform flow regions. Additionally, we outline how the approach may be extended to the upper surface, where the uniform flow is described by swept Prandtl–Meyer relations.

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