ABSTRACT Three-dimensional inert and reactive shock-interface interactions are simulated by solving NS equation with ninth-order WENO scheme. An initial planar shock wave with Mach number 1.7 accelerates a single mode and finite thickness interface with initial wavelength 4 mm and amplitude 0.4 mm from the reactant composed of C2H4+3O2+4N2. Then the transmitting shock branch is reflected at the end boundary to be the first reflected shock which disturbs the flame generating a transmitting shock branch and a reflected shock branch across the interface. This reflected shock branch reflects at the end boundary and accelerates the interface again. The simulation includes successive shock-interface interactions and a decaying period. Temporal and regional characterisations are presented, including Mach number, sound speed, kinetic energy and enstrophy. Furthermore, statistical characterisations of velocity and vorticity are conducted both in spatial space and wavenumber space. Based on these characterisations, there is a discussion of effects on vorticity generation, in terms of baroclinic effect, strain effect and physical viscous effect. In addition, comparisons between inert and reactive shock-flame interactions are made to examine the contribution of reaction.

中文翻译：

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三维惰性和反应冲击界面相互作用：统计流动特性

摘要 通过用九阶 WENO 格式求解 NS 方程来模拟三维惰性和反应冲击界面相互作用。马赫数为 1.7 的初始平面激波从由 C2H4+3O2+4N2 组成的反应物加速了初始波长为 4 mm、振幅为 0.4 mm 的单模和有限厚度界面。然后传输激波分支在端部边界处被反射成为第一次反射激波，它干扰火焰产生跨界面的传输激波分支和反射激波分支。这个反射激波分支在末端边界反射并再次加速界面。模拟包括连续的冲击界面相互作用和衰减期。呈现时间和区域特征，包括马赫数、声速、动能和熵。此外，速度和涡度的统计特征在空间空间和波数空间中进行。基于这些特征，讨论了对涡度产生的影响，包括斜压效应、应变效应和物理粘性效应。此外，还对惰性和反应性冲击-火焰相互作用进行了比较，以检查反应的贡献。