改进的泰勒公式及其数值验证

Improved Taylor formula and its numerical simulation

1.
Institute of Applied Physics and Computational Mathematics, Beijing 100088, China

摘要: 将光滑粒子法（smoothed particle hydrodynamics method, SPH）应用于金属平板爆轰驱动过程的数值模拟，得到了炸药与金属相互作用的清晰的图像和平板抛射角的变化。根据抛射角方程对泰勒公式进行了修正，得到了改进的泰勒公式。利用数值模拟得到的结果比较了平板驱动几种不同的抛射角公式，改进的泰勒公式准确反映出了抛射角下降并趋于终态的规律，其对平板抛射角的描述更为准确。
- 爆炸力学 /
- 抛射角公式 /
- SPH /
- 泰勒公式 /
- 爆轰驱动
Abstract: By applying the smoothed particle hydrodynamics (SPH) method to the detonation driving plate problems, a clear wave structure in the metal plate and the varying process of the projection angle were obtained. According to the projection angle equation, the Taylor formula was modified and the improved Taylor formula was obtained. Comparing the improved Taylor formula and other projection angle formulas, the improved Taylor formula correctly reflected the decreasing process of the projection angle to the final value and could describe the projection angle more accurately.
- mechanics of explosion /
- projection angle /
- SPH /
- Taylor formula /
- detonation driving