https://doi.org/10.1140/epjs/s11734-025-01773-y
Regular Article
Particle-resolved numerical simulation of the motion of a square-shaped particle behind a shock wave
1
Department of Astronautical Science and Mechanics, Harbin Institute of Technology, No. 92 West Dazhi Street, Nan Gang District, 150001, Harbin, Heilongjiang Province, China
2
Institute for Computer Aided Design of the Russian Academy of Sciences, 19/18 2nd Brestskaya, 123056, Moscow, Russia
3
Institute for Computer Science and Mathematical Modeling, I.M. Sechenov First Moscow State Medical University (Sechenov University), 119991, Moscow, Russia
Received:
29
April
2025
Accepted:
25
June
2025
Published online:
3
July
2025
Particle-resolved numerical simulation is a powerful tool for investigating unsteady aerodynamic effects in high-speed gas-particle two-phase flows. Despite its potential, relatively few studies have explored this area, primarily due to the high computational costs associated with such simulations and the complexities of immersed boundary method algorithms. In many practical applications—such as the motion of coal dust particles during the initial stage of a coal dust explosion, the risk assessment of flying debris generated during accidental explosions, and the behavior of meteoroid fragments traveling through the atmosphere—particles are essentially non-spherical, which significantly affects the dynamics of their motion. This paper examines the motion dynamics of a square particle in a supersonic flow behind a strong shock wave. The inviscid Euler equations and an interface tracking method are used. The numerical method is relatively simple to implement and avoids the “mixed-cell” problem. Our results show that if the square particle is initially oriented with its diagonal aligned with the flow, it maintains this position for an order of magnitude longer than when initially positioned with one of its sides perpendicular to the flow. If the initial orientation falls between these two cases, the particle undergoes oscillations that are nearly harmonic. Over time, these oscillations transition into continuous rotation with a constant average angular velocity. The results are compared with experimental data available in the literature.
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© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2025
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
