Atwood-number dependence of the Richtmyer–Meshkov instability at a heavy–light single-mode interface

The dependence of the Richtmyer–Meshkov instability (RMI) on post-shock Atwood number ( $A_1$ ) is experimentally investigated for a heavy–light single-mode interface. We create initial interfaces with density ratios of heavy to light gases ranging from 1.73 to 34.07, and achieve the highest $|A_1|$ value reported to date for gaseous-interface experiments (0.95). For the first time, spike acceleration is observed in experiments with a heavy–light configuration. The models for the start-up, linear and weakly nonlinear evolution stages are evaluated over a wide range of $A_1$ conditions. Specifically, the models proposed by Li et al. ( Phys. Fluids , vol. 36, 2024, 056104) and Wouchuk & Nishihara ( Phys. Plasmas , vol. 4, 1997, 1028–1038) effectively describe the start-up and linear stages, respectively, across all cases. None of the considered nonlinear models is valid under all $A_1$ conditions. Based on the dependence of spike and bubble evolutions on $A_1$ provided by the present work and previous study (Chen et al., J. Fluid Mech. , vol. 975, 2023, A29), the SEA model (Sadot et al., Phys. Rev. Lett. , vol. 80, 1998, pp. 1654–1657), whose expression has clear physical meanings, is modified by revising the coefficient that governs its prediction for early-time evolution. The modified model applies to prediction of the weakly nonlinear evolution of RMI with $A_1$ ranging from −0.95 to −0.35 and from 0.30 to 0.86. Based on this model, an approximation of the critical $A_1$ for the occurrence of spike acceleration is obtained.

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Publication Details

Journal
Journal of Fluid Mechanics
Published
2025-03-18
DOI
https://doi.org/10.1017/jfm.2025.107
Citations
4
Primary Topic
Laser-Plasma Interactions and Diagnostics
Type
article
Field-Weighted Citation Impact
7.48
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article

Atwood-number dependence of the Richtmyer–Meshkov instability at a heavy–light single-mode interface

Yinuo Xing, Zhigang Zhai, Xisheng Luo, Chenren Chen et al.
4 citations
Journal of Fluid Mechanics
Laser-Plasma Interactions and Diagnostics
7.48
article

Atwood-number dependence of the Richtmyer–Meshkov instability at a heavy–light single-mode interface

Yinuo Xing, Zhigang Zhai, Xisheng Luo, Chenren Chen, Jiaxuan Li, He Wang
article en
4 citations

Abstract

The dependence of the Richtmyer–Meshkov instability (RMI) on post-shock Atwood number ( $A_1$ ) is experimentally investigated for a heavy–light single-mode interface. We create initial interfaces with density ratios of heavy to light gases ranging from 1.73 to 34.07, and achieve the highest $|A_1|$ value reported to date for gaseous-interface experiments (0.95). For the first time, spike acceleration is observed in experiments with a heavy–light configuration. The models for the start-up, linear and weakly nonlinear evolution stages are evaluated over a wide range of $A_1$ conditions. Specifically, the models proposed by Li et al. ( Phys. Fluids , vol. 36, 2024, 056104) and Wouchuk & Nishihara ( Phys. Plasmas , vol. 4, 1997, 1028–1038) effectively describe the start-up and linear stages, respectively, across all cases. None of the considered nonlinear models is valid under all $A_1$ conditions. Based on the dependence of spike and bubble evolutions on $A_1$ provided by the present work and previous study (Chen et al., J. Fluid Mech. , vol. 975, 2023, A29), the SEA model (Sadot et al., Phys. Rev. Lett. , vol. 80, 1998, pp. 1654–1657), whose expression has clear physical meanings, is modified by revising the coefficient that governs its prediction for early-time evolution. The modified model applies to prediction of the weakly nonlinear evolution of RMI with $A_1$ ranging from −0.95 to −0.35 and from 0.30 to 0.86. Based on this model, an approximation of the critical $A_1$ for the occurrence of spike acceleration is obtained.

Journal of Fluid MechanicsVol. 1007
University of Science and Technology of China (CN), Chinese Academy of Sciences (CN), Institute of Mechanics (CN)
Openalex Percentile: Top 4%
Laser-Plasma Interactions and Diagnostics
7.48
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