有损失爆轰动力学的定性模拟
Qualitative modeling of the dynamics of detonations with losses
摘要：
我们考虑一个简化模型的动力学一维爆炸与一般的损失。它由一个单一的偏微分方程，再现，在定性水平上，非定常爆轰波的基本属性，包括脉动和混乱的解决方案。特别是，我们研究了激波曲率和摩擦损失对爆轰动力学的影响。为了计算稳态解，引入了一种新的方法来解决爆震本征值问题，避免了与音速点的存在相关的众所周知的数值困难。通过对简化模型的非定常数值模拟，我们还探讨了定常解或准定常解的非线性稳定性。
英文摘要：
We consider a simplified model for the dynamics of one-dimensional detonations with generic losses. It consists of a single partial differential equation that reproduces, at a qualitative level, the essential properties of unsteady detonation waves, including pulsating and chaotic solutions. In particular, we investigate the effects of shock curvature and friction losses on detonation dynamics. To calculate steady-state solutions, a novel approach to solving the detonation eigenvalue problem is introduced that avoids the well-known numerical difficulties associated with the presence of a sonic point. By using unsteady numerical simulations of the simplified model, we also explore the nonlinear stability of steady-state or quasi-steady solutions.
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