基于曲率的爆轰简化模型

Simplified Model of Detonation Based on Curvature

使用模拟系统的简化模型研究带一般损失的一维爆轰问题。简化模型只有一个单独的偏微分方程,但能定性地反映出爆轰波的许多性能。通过解析方法研究曲率对爆轰性能的影响,可以捕捉到爆轰波传播的临界特性。通过对简化模型的数值模拟来观察爆轰波传播的情况,对解析方法进行了验证,并且发现曲率对爆轰波传播的失效有决定性影响。

A simplified model of analog system is considered for the dynamics of one-dimensional detonation with generic losses. The simplified model consists of a single partial differential equation that can describe many properties of detonation waves at a qualitative level. The effect of curvature on detonation dynamic could be solved analytically to acquire the critical characteristic of detonation wave propagation.Direct numerical simulation is used to observe the propagation of detonation wave. The simulated results show that the curvature has decisive influence on the failure of detonation wave propagation.