The microscopic-scale Richtmyer–Meshkov instability (RMI) of a single-mode dense-gas interface is studied by the molecular dynamics approach. Physically realistic evolution processes involving the non-equilibrium effects such as diffusion, dissipation, and thermal conduction are examined for different shock strengths. Different dependence of the perturbation growth on the shock strength is found for the first time. Specifically, the amplitude growths for cases with relatively lower shock Mach numbers (Ma = 1.9, 2.4, 2.9) exhibit an evident discrepancy from a very early stage, whereas for cases with higher Mach numbers (Ma = 4.9, 9.0, 16.0), their amplitude variations with time match quite well during the whole simulation time. Such different behaviors are ascribed to the viscosity effect that plays a crucial role in the microscale RMI. The compressible linear theory of Yang et al. [“Small amplitude theory of Richtmyer–Meshkov instability,” Phys. Fluids 6(5), 1856–1873 (1994)] accounting for the viscosity dissipation provides a reasonable prediction of the simulated linear growth rate. Furthermore, a modified compressible nonlinear model [Q. Zhang et al., “Quantitative theory for the growth rate and amplitude of the compressible Richtmyer–Meshkov instability at all density ratios,” Phys. Rev. Lett. 121, 174502 (2018)] considering both the viscosity effect and the corrected linear growth rate is proposed, which gives an excellent forecast of the linear and nonlinear growths of the present microscale RMI.
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February 2020
Research Article|
February 24 2020
Microscopic Richtmyer–Meshkov instability under strong shock
Pengyue Sun;
Pengyue Sun
1
Department of Modern Mechanics, University of Science and Technology of China
, Hefei 230026, China
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Juchun Ding
;
Juchun Ding
a)
1
Department of Modern Mechanics, University of Science and Technology of China
, Hefei 230026, China
a)Author to whom correspondence should be addressed: djc@mail.ustc.edu.cn
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Shenghong Huang
;
Shenghong Huang
1
Department of Modern Mechanics, University of Science and Technology of China
, Hefei 230026, China
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Xisheng Luo
;
Xisheng Luo
1
Department of Modern Mechanics, University of Science and Technology of China
, Hefei 230026, China
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Wan Cheng
Wan Cheng
2
Mechanical Engineering, Physical Science and Engineering Division, King Abdullah University of Science and Technology
, Thuwal 23955-6900, Saudi Arabia
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a)Author to whom correspondence should be addressed: djc@mail.ustc.edu.cn
Physics of Fluids 32, 024109 (2020)
Article history
Received:
December 22 2019
Accepted:
February 05 2020
Citation
Pengyue Sun, Juchun Ding, Shenghong Huang, Xisheng Luo, Wan Cheng; Microscopic Richtmyer–Meshkov instability under strong shock. Physics of Fluids 1 February 2020; 32 (2): 024109. https://doi.org/10.1063/1.5143327
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