水下爆炸冲击波传播的近似计算

Approximate Calculation of Underwater Explosion Shock Wave Propagation

水下爆炸冲击波传播计算由能流密度—时间曲线经验表达式化简。用简单数值积分法解由拉格朗日形式流体动力学方程、Hugon iot方程和能流密度—时间关系式组成的偏微分方程组,不同距离处的冲击波峰值由单点初始数据计算。结果表明,由近似计算方法所得结果与实测数据和相似律结果一致。适当选取起算参数,在5倍装药半径以外的爆炸远场范围计算精度良好。5倍装药半径以内的爆炸近场,冲击波未充分形成,计算方法失效。计算了几种含铝炸药的冲击波传播,表明冲击波能显著影响冲击波传播特性,冲击波能有利于抑制超压衰减。

The underwater explosion shock wave propagation calculation is simplified by emperical expression from the energy flux density--time curve. The set of partial differential governing equations, made up of Lagrange form fluid dynamic equations, Hugoniot equation and the energy flux density- time relation are solved by simple numerical integration method. The shock wave peak value at different distance is calculated by initial data from a single point. The results show that the calculated results by this approximate method well agree with experiment data and law of similitude. By properly selecting initial value of calculating parameters, the shock wave propagation at the distance range out of 5 times of charge radius is accurately deduced. The calculating method fails in the immediate pressure field, in which the shock wave forms incompletely. The shock wave of various aluminized explosive is calculated, showing that the energy markedly influences the propagation character of shock wave. High energy inures to maintain high shock wave peak pressure.