管道系统激波运动的数值模拟

NUMERICAL SIMULATION OF THE SHOCK WAVE PROPAGATION IN A PIPE SYSTEM

对激波在管道、活塞腔系统内运动的两种数值模型──一维非定常气体运动模型和二维轴对称气体运动模型，进行了数值模拟，其计算曲线（压力曲线、活塞速度、位移曲线）与相应的实验曲线符合较好，表明基于Ｇｏｄｕｎｏｖ格式的激波运动计算方法能成功地处理含有激波且边界条件复杂的管道系统内气体运动问题，因而能较精确地预测管道系统内详细的压力变化过程，特别是预测激波在管道系统内的传播过程。

This paper presents two numerical models of shock wave propagation in a pipe system. They are a one-dimensional model and a twodimensional axisymmetric model respectively. A simulation programmecorresponding to the two models has been developed.A comparison of the calculated and the measured pressure, piston velocity and displacement histories for the one-dimensional model shows goodagreement between the two. The propagation of the shock wave issatisfactorily predicted.For the two-dimensional axisymmetrical model, the simulation gives adetailed and quantitative picture of the velocity vectors and pressurs distributions in piston chamber. The results of the calculations show that the non-linear wave actioncalculation technique, based on the Godunov's method, can successfully dealwith the flow problem with the pressure wave including the shock wave andthe complicated geometrical configuration of the pipe system, and thereforecan accurately predict the detailed variation of pressure in the pipe systemand especially the propagation of the shock wave in pipe system.