• Matter and Radiation at Extremes
  • Vol. 8, Issue 1, 016901 (2023)
J. Y. Fu1, H. S. Zhang2,a), H. B. Cai2, P. L. Yao3, and S. P. Zhu2,3,4
Author Affiliations
  • 1Institute of Applied Physics and Computational Mathematics, Beijing 100088, People’s Republic of China
  • 2Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, Beijing 100088, People’s Republic of China
  • 3Graduate School, China Academy of Engineering Physics, P.O. Box 2101, Beijing 100088, People’s Republic of China
  • 4Science and Technology on Plasma Physics Laboratory, Laser Fusion Research Center, CAEP, Mianyang 621900, People’s Republic of China
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    DOI: 10.1063/5.0106832 Cite this Article
    J. Y. Fu, H. S. Zhang, H. B. Cai, P. L. Yao, S. P. Zhu. Effect of ablation on the nonlinear spike growth for the single-mode ablative Rayleigh–Taylor instability[J]. Matter and Radiation at Extremes, 2023, 8(1): 016901 Copy Citation Text show less

    Abstract

    The effect of ablation on the nonlinear spike growth of single-mode ablative Rayleigh–Taylor instability (RTI) is studied by two-dimensional numerical simulations. It is shown that the ablation can reduce the quasi-constant velocity and significantly suppress the reacceleration of the spike in the nonlinear phase. It is also shown that the spike growth can affect the ablation-generated vorticity inside the bubble, which further affects the nonlinear bubble acceleration. The vorticity evolution is found to be correlated with the mixing width (i.e., the sum of the bubble and spike growths) for a given wave number and ablation velocity. By considering the effects of mass ablation and vorticity, an analytical model for the nonlinear bubble and spike growth of single-mode ablative RTI is developed in this study. It is found that the nonlinear growth of the mixing width, induced by the single mode, is dominated by the bubble growth for small-scale ablative RTI, whereas it is dominated by the spike growth for classical RTI.
    ρhρlg=CdkρlVs2,

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    ρhρlgCakρhVa2=CdkρlVsVa2,

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    hb/sCRT=±h0exp0tγLclsdt,

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    hb/sART=±h0exp0tγLabldt+Vat.

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    hbCRT=hb0+3+AT31+ATklncosh6kAT1+ATs1/23+AT+ḣb0Vbclssinh6kAT1+ATs1/23+AT,

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    hsCRTAT=hbCRTAT1+(0.4+0.6AT10)hsCRT1hbCRTATA1,

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    hsCRT=tsNLtḧsdt2+ḣs0ttsNL+hs0.

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    hsART=hsCRTḧs=aeffabl.

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    hbART=hbARTtvort+tvorttVbablWbsdt,

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    J. Y. Fu, H. S. Zhang, H. B. Cai, P. L. Yao, S. P. Zhu. Effect of ablation on the nonlinear spike growth for the single-mode ablative Rayleigh–Taylor instability[J]. Matter and Radiation at Extremes, 2023, 8(1): 016901
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