A vortex boundary identification method for two-dimensional compressible flows based on Liutex-Shear interaction

IF 4 3区工程技术

Journal of Hydrodynamics Pub Date : 2026-05-14 DOI:10.1007/s42241-026-0035-8

Cheng Wang, Wen Xia, Yu-tong Zhu, Yi-qian Wang, Jia-lin Lou

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引用次数: 0

Abstract

This paper proposes a vortex boundary identification method for compressible flows based on the interaction between Liutex and shear. The Liutex-Shear (RS) 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 discontinuous Galerkin method are conducted to investigate the proposed method. Different terms in the proposed RS interaction equation are computed for the Taylor-Green vortex and flow past a cylinder with different Mach numbers to investigate the mechanism. It is demonstrated that the vortex boundary can be accurately identified through the viscous term, which exhibits pronounced dissipation characteristics. This approach is grounded in robust theoretical and physical principles and eliminates the need for arbitrary threshold selections. Future work may extend this method to 3-D flows across all speeds, offering a physically consistent approach for vortex boundary extraction.

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基于流-剪切相互作用的二维可压缩流涡旋边界识别方法

提出了一种基于流体与切变相互作用的可压缩流涡旋边界识别方法。流-剪切（RS）相互作用方程，最初是为不可压缩流动开发的，在这里扩展到考虑可压缩性效应。用间断伽辽金方法对亚音速到跨音速流进行了测试，以验证所提出的方法。计算了不同马赫数的Taylor-Green涡旋和流过圆柱体的RS相互作用方程中的不同项，探讨了其机理。结果表明，通过粘性项可以准确地识别出涡边界，而粘性项具有明显的耗散特性。这种方法基于强大的理论和物理原理，消除了任意阈值选择的需要。未来的工作可能会将该方法扩展到所有速度下的三维流动，为提取涡旋边界提供物理上一致的方法。

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来源期刊

Journal of Hydrodynamics MECHANICS-

自引率

12.00%

发文量

2374

审稿时长

4.6 months

期刊介绍： Journal of Hydrodynamics is devoted to the publication of original theoretical, computational and experimental contributions to the all aspects of hydrodynamics. It covers advances in the naval architecture and ocean engineering, marine and ocean engineering, environmental engineering, water conservancy and hydropower engineering, energy exploration, chemical engineering, biological and biomedical engineering etc.