Reflection of a converging shock over a double curved wedge

Wang, H.; Zhai, Zhigang; Luo, Xisheng

doi:10.1007/s00193-021-01027-5

Cited by 4 publications

(6 citation statements)

References 41 publications

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“…The initial mesh size of 0.3 mm and the finest mesh size of 18.8 m in the positions where greater density gradient exists are applied. Grid convergence validation has been conducted in our previous works (Wang & Zhai 2020; Wang, Zhai & Luo 2021), and a grid with a similar size to the previous work is adopted in this work.…”

Section: Numerical Methods and Wedge Designmentioning

confidence: 99%

“…2017; Wang & Zhai 2020; Wang et al. 2021). Note that whether in planar or cylindrical shock reflections, the incident and reflected shocks are nearly planar in the vicinity of the TP, therefore, this method is applicable to both planar and curved shock reflections.…”

Section: Figurementioning

confidence: 99%

“…As shown in figure 12, the TP is identified as the intersection point of the incident shock with the reflected shock in the numerical results, a similar method has been adopted in our previous work (Wang et al 2017;Wang & Zhai 2020;Wang et al 2021). Note that whether in planar or cylindrical shock reflections, the incident and reflected shocks are nearly planar in the vicinity of the TP, therefore, this method is applicable to both planar and curved shock reflections.…”

Section: Appendix C Triple Point Identificationmentioning

confidence: 99%

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Prediction of triple point trajectory on two-dimensional unsteady shock reflection over single surfaces

2022

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The two-dimensional (2-D) unsteady shock reflection over a single wedge is studied theoretically and numerically, and the emphasis is placed on the trajectory of the triple point (TP). Skews’ relation and the three-shock theory are, respectively, used for determining the trajectory angles of the corner-generated disturbance and the TP, and, subsequently, a model capable of predicting the TP trajectory is established for 2-D unsteady shock reflections over a single wedge. Then, a systematically numerical study is carried out on the 2-D unsteady shock reflection over a single wedge, including five types of shock reflection with the wedge angle increased and five types of shock reflection with the wedge angle decreased. It is found that the Mach stem is always slightly concavely (convexly) curved for reflections with the wedge angle increased (decreased), which should be caused by corner-generated compression (rarefaction) waves propagating along the Mach stem. The new model reasonably predicts the TP trajectory in all the 2-D unsteady shock reflections, and its performance is related not only to the variation trend of the wedge angle (increase or decrease), but also to the type of shock and the initial wedge angle. Specifically, for the shock reflection with the wedge angle increased (decreased), the model generally provides a slightly better (worse) prediction if the TP trajectory angle calculated by the three-shock theory is compulsively modified. The shock-shock/expansion polar analysis presented can partially explain the model performance for predicting the TP trajectory.

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Section: Numerical Methods and Wedge Designmentioning

confidence: 99%

Section: Figurementioning

confidence: 99%

Section: Appendix C Triple Point Identificationmentioning

confidence: 99%

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Prediction of triple point trajectory on two-dimensional unsteady shock reflection over single surfaces

2022

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“…2016; Wang et al. 2017; Wang, Zhai & Luo 2021) and shock–interface interactions (Zhai et al. 2011, 2014, 2018 a ; Zhai, Ou & Ding 2019), is adopted to simulate the shock-tube flow with the cross-section truncation.…”

Section: Figure 14mentioning

confidence: 99%

“…The cross-section truncation from 140 mm × 20 mm to 140 mm × 6 mm will inevitably have some effects on the shock intensities and the time interval. In this Appendix, to explore the effects of the cross-section truncation on the shock waves and the flow, the inviscid numerical solver VAS2D (two-dimensional vectorized adaptive solver) (Sun & Takayama 1999), which has been well validated in shock-body interactions Wang et al 2017;Wang, Zhai & Luo 2021) and shock-interface interactions (Zhai et al 2011(Zhai et al , 2014(Zhai et al , 2018aZhai, Ou & Ding 2019), is adopted to simulate the shock-tube flow with the cross-section truncation. By comparing the numerical results with the 1-D theoretical results, the effects of the cross-section truncation can be highlighted.…”

Section: Appendix B Common Theoriesmentioning

confidence: 99%

Experimental study on a light–heavy interface evolution induced by two successive shock waves

Wang

Cao²,

Chen³

et al. 2022

J. Fluid Mech.

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Richtmyer–Meshkov instability induced by two successive shock waves is experimentally studied in a specific shock tube. To create two successive shock waves synchronously, a driver section is added between the driver and driven sections of the standard shock tube, and an electronically controlled membrane rupture equipment is adopted. The shock-tube flow after the membranes rupture is well described by combining the shock relations, isentropic wave relations with compatibility relations across the contact surface (region). The new shock tube is capable of generating two successive shock waves with controllable strengths and time interval, and provides a relatively ‘clean’ wave system. Then the developments of single-mode light–heavy interfaces with different initial conditions induced by two successive shock waves are investigated. The initial amplitudes are all small enough such that the first-shocked interface is within the linear growth regime at the arrival of the second shock. The results show that if the pre-second-shock perturbation amplitude is small, the linear, nonlinear and modal evolutions of the double-shocked interface can be reasonably predicted by the existing models proposed for predicting the perturbation growth induced by a single shock. For the double-shocked interface, the second shock provides an additional perturbation velocity field to the original one introduced by the first shock impact. The validity of the linear superposition model indicates that the linear superposition of these two perturbation velocity fields is satisfied. Therefore, a double-shocked interface evolves similarly to a single-shocked interface provided that their postshock amplitudes and linear growth rates are the same.

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Numerical Simulations of Blast Wave Propagation After a High-Energy Explosion

Song

et al. 2023

Int. J. Aeronaut. Space Sci.

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Reflection of a converging shock over a double curved wedge

Cited by 4 publications

References 41 publications

Prediction of triple point trajectory on two-dimensional unsteady shock reflection over single surfaces

Prediction of triple point trajectory on two-dimensional unsteady shock reflection over single surfaces

Experimental study on a light–heavy interface evolution induced by two successive shock waves

Numerical Simulations of Blast Wave Propagation After a High-Energy Explosion

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