Fangcheng Shi, Peixu Guo, Hongpeng Liu, Tiantian Wang
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引用次数: 0
摘要
通过对热完全气体(TPG)和热完全气体(CPG)进行直接数值模拟(DNS),研究了高冲击马赫数(Ms)下的典型冲击/各向同性湍流相互作用(SITI)。结合 DNS 与线性相互作用分析 (LIA),研究了整个冲击波涡度方差的放大。研究发现,振动激励下涡旋速度波动幅度和湍流长度尺度的变化对涡度放大有竞争性影响。后者占主导地位,并导致在 Ms = 6.0 时横向涡度放大率增加 32.2%。基于 LIA 理论,建立了考虑振动激励的 SITI 涡度放大模型。此外,还通过分析输运方程研究了振动激励对下游涡度输运的影响。振动激振加强了涡旋拉伸和流向涡度的粘性耗散,但只改变了横向涡度的粘性耗散。然后,比较了 CPG 和 TPG 不同湍流结构的涡度传输。比较结果表明,流向涡度方差的涡伸增量是由稳定节点/鞍形/鞍形对应的增强湍流结构维持的,而TPG横向涡度方差的快速衰减与非焦点湍流结构的粘性耗散增强有关。
Effect of vibrational excitation on vorticity amplification and transportation in shock/isotropic turbulence interaction: A numerical investigation
The canonical shock/isotropic turbulence interaction (SITI) at high shock Mach numbers (Ms) is studied by conducting direct numerical simulation (DNS) for thermally perfect gas (TPG) and calorically perfect gas (CPG). Combining DNS with linear interaction analysis (LIA), the amplification of vorticity variance across the shock wave is studied. It is found that the changes in vortical velocity fluctuation amplitude and turbulent length scales under vibrational excitation have a competitive effect on vorticity amplification. The latter is dominant and leads to the transverse vorticity amplification increasing by 32.2% at Ms = 6.0. Based on the LIA theory, a vorticity amplification model for SITI considering vibrational excitation is established. Furthermore, the impact of vibrational excitation on the downstream vorticity transportation is examined through an analysis of the transport equation. The vibrational excitation strengthens both the vortex stretching and viscous dissipation of streamwise vorticity but only alters the viscous dissipation of transverse vorticity. Then, the vorticity transportations of different turbulent structures for CPG and TPG are compared. The comparison indicates that the increment of vortex stretching for streamwise vorticity variance is sustained by the enhanced turbulent structures corresponding to the stable-node/saddle/saddle, and the rapid decay of transverse vorticity variance for TPG is associated with the enhanced viscous dissipation of the nonfocal turbulent structure.
期刊介绍:
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