非理想爆轰波阵面传播的Level Set方法应用研究

Application of the Level Set Method for Propagation of Non-ideal Detonation Wave

为了较精确地对非理想爆轰波的传播进行计算,基于爆轰冲击波动力学(DSD)理论,研究了计算二维贴体坐标系中爆轰波阵面传播问题的Level Set方法。根据Ham ilton-Jacobi方程的Godunov差分格式,提出了非正交的贴体坐标系中Level Set函数方程的差分格式及其相应的数值方法。将Level Set方法应用于自行研制的二维流体动力学程序TDY2D得到编码TDY_DSD,对爆轰波的传播及爆轰驱动的实验模型进行了数值模拟计算,所得的计算值均与实验值符合较好。计算结果表明了TDY_DSD程序的正确性和有效性,具有较高计算精度。

In order to compute the propagation of non-ideal detonation wave accurately,based on the detonation shock dynamics（DSD） theory,the Level Set method in body-fitted coordinate for propagation of detonation wave was studied.According to the Hamilton-Jacobi formulation of the Godunov＇s scheme,the finite difference method and algorithm for the propagation equation of non-ideal detonation wave in non-orthogonal body-fitted coordinate were studied.Then the Level Set method was incorporated into the 2D hydrodynamic code TDY2D to form a combination code TDY_DSD and it was used to compute some models about the propagation of detonation wave and the motion of flyers driven by explosive.The computation results were in good agreement with the experimental data.These results show that TDY_DSD is correct and effective.The precision in calculation is high.