A Vortex Boundary Identification Method for Two-dimensional Compressible Flows Based on Liutex-Shear Interaction

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Abstract

This paper proposes a vortex boundary identification method for compressible flows based on the interaction between Liutex and shear. The Liutex-shear interaction equation, originally developed for incompressible flows, is extended here to account for compressibility effects. A number of test cases ranging from subsonic to transonic flows using discontinous Galerkin method are conducted to investigate the proposed method. Results demonstrate significant dissipation effects on Liutex, making it suitable for vortex boundary identification. Future work may extend this method to three-dimensional flows across all speeds, offering a physically consistent approach for vortex boundary extraction.

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