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Molecular dynamics simulation of cylindrical Richtmyer-Meshkov instability

Science China(Physics,Mechanics & Astronomy) 2018年第11期61卷 61-71页

作者： Zhenhong Wu Shenghong Huang Juchun Ding Weirong Wang Xisheng Luo Department of Modern Mechanics University of Science and Technology of China

The microscopic-scale Richtmyer-Meshkov(RM) instability of a single-mode Cu-He interface subjected to a cylindrically converging shock is studied through the classical molecular dynamics simulation. An unperturbed interface is first considered to examine the flow features in the convergent geometry, and notable distortions at the circular inhomogeneity are observed due to the atomic fluctuation. Detailed processes of the shock propagation and interface deformation for the single-mode interface impacted by a converging shock are clearly captured. Different from the macroscopic-scale situation, the intense molecular thermal motions in the present microscale flow introduce massive small wavelength perturbations at the single-mode interface, which later significantly impede the formation of the roll-up structure. Influences of the initial conditions including the initial amplitude,wave number and density ratio on the instability growth are carefully analyzed. It is found that the late-stage instability development for interfaces with a large perturbation does not depend on its initial amplitude any more. Surprisingly, as the wave number increases from 8 to 12, the growth rate after the reshock drops gradually. The distinct behaviors induced by the amplitude and wave number increments indicate that the present microscopic RM instability cannot be simply characterized by the amplitude over wavelength ratio(η). The pressure history at the convergence center shows that the first pressure peak caused by the shock focusing is insensitive to η, while the second one depends heavily on it.

关键词： molecular dynamics simulation Richtmyer-Meshkov instability converging shock

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The Richtmyer-Meshkov instability of a double-layer interface in convergent geometry with magnetohydrodynamics

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Matter and Radiation at Extremes 2018年第4期3卷 207-218页

作者： Yuan Li Ravi Samtaney Vincent Wheatley Mechanical Engineering King Abdullah University of Science and TechnologySaudi Arabia Mechanical and Mining Engineering The University of QueenslandAustralia

The interaction between a converging cylindrical shock and double density interfaces in the presence of a saddle magnetic field is numerically investigated within the framework of ideal *** fluids of differing densities are initially separated by the two perturbed cylindrical *** initial incident converging shock is generated from a Riemann problem upstream of the first *** effect of the magnetic field on the instabilities is studied through varying the field *** shows that the Richtmyer-Meshkov and Rayleigh-Taylor instabilities are mitigated by the field,however,the extent of the suppression varies on the interface which leads to non-axisymmetric growth of the *** degree of asymmetry of the interfacial growth rate is increased when the seed field strength is increased.

关键词： Magnetohydrodynamics Double density interfaces converging shock Richtmyer-Meshkov instability

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