AI 中文总结
针对惯性约束聚变点火设计中中高阶流体动力学不稳定性的热点性能退化问题，提出等熵准则确定最危险模式l=12，明确热传导对热点等压状态的影响，揭示热传导损失可降低热点性能。
AI 中文摘要
在惯性约束聚变的点火设计中，中高阶流体动力学不稳定性除了降低温度外，在导致热点性能退化方面的作用仍不明确。为解决这一问题，我们提出了一种等熵准则，用于评估构成热点理论基础的等熵假设。通过扰动增长与热传导诱导的烧蚀稳定之间的平衡，确定了最危险的模式l=12。当佩克莱数远小于1时，热传导的作用超过对流。因此，对于中高阶模式，热传导会使热点在外部质量流入恢复损失的热量之前保持等压状态。由此，忽略热传导会高估压力并低估体积。这些结果加深了我们对中高阶模式在热点性能退化中作用的理解，并表明即使扰动被烧蚀几乎稳定，热传导损失也可能降低性能。
英文摘要
In an ignited design of inertial confinement fusion, the role of mid-to-high-mode hydrodynamic instabilities in degrading hot-spot performance, beyond reducing temperature, remains unclear. To address this, we propose an isobaric criterion to assess the isobaric assumption that forms the theoretical basis of the hot spot. The most dangerous mode l = 12 is determined through a balance between perturbation growth and ablation stabilization induced by thermal conduction. Thermal conduction outperforms convection when the Peclet number is much less than 1. Therefore, for mid-to-high modes, thermal conduction makes the hot spot isobaric before the outer mass inflow restores the lost heat. Consequently, neglecting thermal conduction overestimates pressure and underestimates volume. These results enhance our understanding of mid-to-high modes in degrading hot-spot performance, and suggest that thermal conduction losses may reduce performance even if perturbations are nearly stabilized by ablation.
