2020/05/16 by Yan-Chao Hu, Zhi-Gong Tang, Zhigong Tang +4
Engineering · Mathematics · Physics and Astronomy · #Computational Fluid Dynamics and Aerodynamics #Computer science #Condensed matter physics #Dissipation #Engineering #Fluid Dynamics and Turbulent Flows #Gas Dynamics and Kinetic Theory #Geology #Geometry #Hysteresis #Mach number #Mach reflection #Mathematics #Mechanics #Oblique shock #Optics #Physics #Reflection (computer programming) #Saddle #Saddle point #Shock (circulatory) #Shock wave #Structural engineering #Wedge (geometry) #physics.flu-dyn
paper · pdf · doi:10.1103/physreve.103.023103
published as Phys. Rev. E 103, 023103 (2021)
arxiv created 2020/05/16 · openalex publication_date 2021/02/08 · arxiv updated 2021/02/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
This paper reports on the mechanism of the hysteresis in the transition between regular and Mach shock wave reflections. We disclose that, for a given inflow Mach number, a stable reflection configuration should maintain the minimal dissipation. As the wedge angle varies, the set of the minimal dissipation points forms the valley lines in the dissipation landscape, and these valley lines compose the hysteresis loop. The saddle-nodes, intersections of the ridge line, and the valley lines are actually the transition points. Additionally, the predicted reflection configurations agree well with the experimental and numerical results, validating this theory.