具有多峰热度系统爆轰区的多重性
Multiplicity of detonation regimes in systems with a multi-peaked thermicity
摘要：
该研究探讨了爆炸与多个准稳态速度，在过去的系统中观察到的多峰热，使用Fickett的爆炸模拟。行波的稳态分析预测了多个状态，然而，除了具有最高速度的一个之外，所有的状态在音速点之后都发展为奇点。模拟表明，奇点与冲击波，超越所有的音速点，建立在最高的预测速度的爆炸旅行。在一定的参数范围内，稳态爆轰可以有多个音速点和多个音速解。嵌入冲击可以存在于声波点之后，在那里它们连接弱解和强解。特征不发散的声波点被认为是不稳定的，并且是嵌入式冲击的源。数值模拟表明，这些冲击只是准稳定的。这被认为部分是由于该模型的一个特征，该特征允许在声波点之后的任何地方发生冲击。
英文摘要：
The study investigates detonations with multiple quasi-steady velocities that have been observed in the past in systems with multi-peaked thermicity, using Fickett's detonation analogue. A steady state analysis of the travelling wave predicts multiple states, however, all but the one with the highest velocity develop a singularity after the sonic point. Simulations show singularities are associated with a shock wave which overtakes all sonic points, establishing a detonation travelling at the highest of the predicted velocities. Under a certain parameter range, the steady-state detonation can have multiple sonic points and solutions. Embedded shocks can exist behind sonic points, where they link the weak and strong solutions. Sonic points whose characteristics do not diverge are found to be unstable, and to be the source of the embedded shocks. Numerical simulations show that these shocks are only quasi-stable. This is believed to be due in part to a feature of the model which permits shocks anywhere behind a sonic point.
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