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Nonlinear theory of the ablative Rayleigh-Taylor instability

机译：烧蚀瑞利-泰勒不稳定性的非线性理论

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摘要

Here, a model for the nonlinear Rayleigh-Taylor instability (RTI) of a steady ablation front based on a sharp boundary approximation is presented. The model includes the effect of mass ablation and represents a basic tool for investigating many aspects of the nonlinear ablative RTI relevant to inertial confinement fusion. The single mode analysis shows the development of a nonlinear exponential instability for wave numbers close to the linear cutoff. Such a nonlinear instability grows at a rate faster than the linear growth rate and leads to saturation amplitudes significantly larger than the classical value 0.1lambda We also found that linearly stable perturbations with wave numbers larger than the linear cutoff become unstable when their initial amplitudes exceed a threshold value. The shedding of long wavelength modes via mode coupling is much greater than predicted by the classical RTI theory. The effects of ablation on the evolution of a front of bubbles is also investigated and the front acceleration is computed.
机译：在此，提出了一种基于尖锐边界近似的稳定消融锋面的非线性瑞利-泰勒不稳定性（RTI）模型。该模型包括质量消融的影响，并代表了一个基本工具，用于研究与惯性约束融合相关的非线性消融RTI的许多方面。单模分析显示了波数接近线性截止的非线性指数不稳定性的发展。这种非线性不稳定性的增长速度快于线性增长速度，并导致饱和幅度明显大于经典值0.1lambda。我们还发现，当波的数量大于线性截止值时，其线性稳定扰动变得不稳定。阈值。通过模式耦合的长波长模式的衰减远大于经典RTI理论所预测的。还研究了烧蚀对气泡前部演化的影响，并计算了前部加速度。

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