The ablation and acceleration of diamond-like high-density carbon foils irradiated by thermal X-ray radiations are investigated with radiation hydrodynamics simulations. The time-dependent front of the ablation wave is given numerically for radiation temperatures in the range of 100–300 eV. The mass ablation rates and ablation pressures can be derived or implied from the coordinates of ablation fronts, which agree well with reported experiment results of high-density carbon with radiation temperatures Trad in the range of 160–260 eV. It is also found that the $T_{{\rm rad}}^3$ scaling law for ablation rates does not apply to Trad above 260 eV. The trajectories of targets and hydrodynamic efficiencies for different target thicknesses can be derived from the coordinates of ablation fronts using a rocket model and the results agree well with simulations. The peak hydrodynamic efficiencies of the acceleration process are investigated for different foil thicknesses and radiation temperatures. Higher radiation temperatures and target thicknesses result in higher hydrodynamic efficiencies. The simulation results are useful for the design of fusion capsules.

利用辐射流体动力学模拟研究了热X射线辐射对类金刚石高密度碳箔的烧蚀和加速作用。对于辐射温度在100–300 eV范围内的数值，给出了随时间变化的消融波前波。可以从消融锋线的坐标中得出或暗示质量消融速率和消融压力，这与报道的辐射温度T rad在160–260 eV范围内的高密度碳的实验结果非常吻合。还发现烧蚀速率的 $ T _ {{\ rm rad}} ^ 3 $ 缩放定律不适用于T rad 高于260 eV。可以使用火箭模型从烧蚀锋面的坐标中得出不同目标厚度的目标轨迹和流体动力效率，其结果与模拟结果非常吻合。对于不同的箔片厚度和辐射温度，研究了加速过程的峰值流体动力学效率。较高的辐射温度和目标厚度会导致较高的流体动力学效率。仿真结果对融合胶囊的设计很有帮助。