This paper introduces a novel hybrid numerical method, SAUSM, designed for accurate and robust simulation of compressible °ows governed by the Euler equations. While the AUSMþ scheme provides proper resolution of smooth °ow features, it is susceptible to anomalies, particularly the carbuncle phenomenon near strong shock discontinuities. Conversely, the AUFS scheme o®ers inherent stability in capturing shocks; however, it lacks the accuracy of AUSMþ in smooth regions. The proposed SAUSM method combines AUSMþ and AUFS through an adaptive weighting function, facilitating a seamless transition between the schemes. This approach preserves the accuracy of AUSMþ in smooth regions while ensuring robust shockcapturing capabilities near discontinuities. The e®ectiveness of the SAUSM method is rigorously demonstrated through a comprehensive suite of progressively complex test cases. Numerical experiments demonstrate SAUSM\\\\\\\\\\\\\\\'s pro¯ciency in resolving intense shock patterns and discontinuities without introducing anomalies. In the selected test cases, SAUSM agrees with reference solutions and e®ectively mitigates anomalies observed in AUSMþ, including kinked Mach stems. In the challenging test case involving hypersonic blunt body °ow over a cylinder, SAUSM adapts dissipation e®ectively by utilizing its adaptive weighting function to generate smooth pressure distributions, thereby eliminating the carbuncle instability linked to AUSMþ when applied to a high aspect ratio grid. The consistent formulation of °ux splitting and the adaptive weighting in SAUSM prevent excessive dissipation away from discontinuities, thus preserving accuracy comparable to that of exact Riemann solvers. Consequently, SAUSM emerges as a promising and innovative approach to accurately and robustly simulate a wide range of compressible Euler °ows. The comprehensive results obtained from the validation tests ¯rmly establish SAUSM as a highly e®ective general-purpose technique for computational °uid dynamics in academic research.

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