空中点源爆炸波阵面参数的误差控制求解方法  

Study on error control of wavefront parameter solution for point source explosion in air

作　　者：张鏖 李锋 孙云厚 苏荣华 ZHANG Ao;LI Feng;SUN Yunhou;SU Ronghua(Defense Engineering Institute,AMS,PLA,Beijing 100850,China)

机构地区：[1]军事科学院国防工程研究院,北京100850

出　　处：《兵器装备工程学报》2023年第9期272-277,共6页Journal of Ordnance Equipment Engineering

基　　金：国家自然科学基金面上项目(72271125)。

摘　　要：球对称装药强爆炸自模拟解常被用于给出空中爆炸的初始波阵面参数,参数的精度影响后续工程及装备抗冲击毁伤评估的可靠性。为提高空中点源爆炸波阵面参数的计算精度,引入自适应步长的Runge-Kutta法替代之前常被采用的固定步长四阶Runge-Kutta法,将空中强爆炸自模拟的求解精度提升到五阶,实现了计算精度人为调控。用Matlab工具对改进的算法进行数值实现,对空气中球面对称装药强爆炸自模拟过程进行求解。对比原有算法、改进算法和参考值认为改进的算法能够在保证一定效率的前提下控制计算误差在指定范围内。本研究可为空中爆炸荷载的高精度求解提供理论基础与数据支撑。The self-similar solution of the strong explosion of spherically symmetrical charge is often used to give the initial wavefront parameters of a point source explosion in the air.The accuracy of the wavefront parameters seriously affects the subsequent shock wave propagation and the calculation of the impact load of the equipment and structure.In order to improve the calculation accuracy of the self-similar solution for the strong explosion of spherically symmetrical charges,this paper uses the adaptive step Runge-Kutta method instead of the original fixed step fourth-order Runge-Kutta method.The algorithm improves the accuracy of the self-similar of the strong air explosion to the fifth order,and realizes the artificial control of the solution accuracy.In this paper,the improved algorithm is realized by Matlab software,and the self-similar solution of spherical symmetrical charge in the air is solved.By comparing the original algorithm,the improved algorithm,and the reference value,it is considered that the improved algorithm can control the calculation error within the specified range.This research can provide theoretical basis and data support for the high-precision solution of impact load on structures.

关 键 词：球对称装药 自模拟 误差控制 自适应步长Runge-Kutta法 

分 类 号：TJ01[兵器科学与技术—兵器发射理论与技术]