Numerical investigation of Richtmyer–Meshkov instability in shock-driven light square bubble via magnetohydrodynamics

作     者：Zhang, Sheng-Bo Singh, Satyvir Torrilhon, Manuel Zhang, Huan-Hao Chen, Zhi-Hua Zheng, Chun 

作者机构：National Key Laboratory of Transient Physics Nanjing University of Science and Technology Xiaolingwei 200 Nanjing 210094 China Applied and Computational Mathematics RWTH Aachen University Schinkelstrasse 2 Aachen 52062 Germany Department of Mathematics Graphic Era Deemed to be University Dehradun Uttarakhand India National Graduate College for Engineers Southern University of Science and Technology Xueyuan Avenue 1008 Shenzhen 518055 China School of Energy and Power Engineering Nanjing University of Science and Technology Xiaolingwei 200 Nanjing 210094 China 

出 版 物：《Computers and Fluids》 (Comput. Fluids)

年 卷 期：2025年第299卷

学科分类：08[工学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

基　　金：China Postdoctoral Science Foundation, (2022M711642) Deutsche Forschungsgemeinschaft, DFG, (FOR5409) National Natural Science Foundation of China, NSFC, (12102196, 12072162) Natural Science Foundation of Jiangsu Province, (BK20210322) 

主　　题：Light gas interface MHD Richtmyer–Meshkov instability Shock wave 

摘      要：This study presents a numerical investigation of magnetohydrodynamics (MHD) instability in a shock-driven light square bubble, examining the complex interactions at the interface between shocked fluids in the presence of a magnetic field. By incorporating magnetic fields, the dynamics of such instabilities become even more complex, leading to novel behavior in terms of vorticity deposition, mixing, and interface morphology. For numerical simulation, an unsteady compressible ideal magnetohydrodynamics equations in two-dimensional space is solved with the corner transport upwind ＋ constrained transport schemes while preserving the magnetic field s divergence-free condition. The numerical results show good agreement with the available hydrodynamics experimental data and magnetohydrodynamics calculations. The research results demonstrate that the transverse magnetic field plays a crucial role in the development of MHD-RMI in a light square bubble driven by a planar shock wave. It significantly affects the flow field structure, leading to changes in interface morphology, shock wave structure, vortices and enstrophy. The baroclinic torque induced by magnetic tension at the interface counteracts the torque from velocity shear, thereby inhibiting the roll of Kelvin–Helmholtz vortex. A comprehensive analysis of some physical quantities, including magnetic energy, magnetic strength, and magnetic tension on the square bubble, is presented. MHD-RMI has been found to be a highly effective mechanism for enhancing the magnetic field, thereby improving the suppression of flow instability. Finally, a detailed analysis of the impact of the magnetic field on the time evolution of the interface features is conducted. © 2025 The Authors