Numerical Simulation of Vorticity Production in Shock Diffraction

Tseng, Tzu-I; Yang, Ruey-Jen

doi:10.2514/1.16196

Cited by 15 publications

(9 citation statements)

References 16 publications

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“…Sun and Takayama [5] showed that numerical solution of the compressible Euler equations was able to represent the vortex formed in two-dimensional shock wave diffraction very well, and from the results, vorticity and vorticity production were quantitatively calculated. Tseng and Yang [6] provided the same results for the solution of the laminar Navier-Stokes equations. Solution of the two sets of equations yielded very little difference in the results.…”

Section: Introductionsupporting

confidence: 56%

Unsteady three-dimensional compressible vortex flows generated during shock wave diffraction

Reeves

Skews

2012

Shock Waves

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The results of an experimental and numerical investigation into the behaviour of the spiral vortex generated by shock wave diffraction over edges yawed to the incident shock wave are presented. Three-dimensional numerical simulations reveal significant distortion and bending of the free vortex in regions near the boundary of the flow domain, so as to meet it at a right angle. The results of numerical simulations were found to mimic the experimentally obtained photographs very well. The numerical results are used to explain the various features of the resultant flow fields, with particular emphasis placed on the behaviour and properties of the spiral vortex, as it evolves with time. The effects of bending on the structure of the vortex are examined. The rate of circulation production for the three-dimensional shock diffraction cases was calculated, and the trends observed correlated with those for the much published two-dimensional diffraction case.

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Section: Introductionsupporting

confidence: 56%

Unsteady three-dimensional compressible vortex flows generated during shock wave diffraction

Reeves

Skews

2012

Shock Waves

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“…Non‐collinear ∇ T and ∇ s , in other words, when ∇ ρ × ∇ P ≠ 0, production of vorticity can be possible because of the contribution of this term . The production of vortices by the diffraction of planar shock wave over 2D obstacle has been reported in . Vortex generation exists in non‐homentropic inviscid compressible flow behind curved shock.…”

Section: Shock‐wave Interaction With Array Of Cylindersmentioning

confidence: 96%

Computational study of shock‐wave interaction with solid obstacles using immersed boundary methods

Chaudhuri

Hadjadj

Sadot

et al. 2011

Numerical Meth Engineering

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SUMMARYIn this study, an immersed boundary (IB) method based on a direct forcing is coupled with a high-order weighted-essentially non-oscillatory (WENO) scheme to simulate fluid-solid interaction (FSI) problems with complex geometries. The IB is a general simulation method for FSI, whereas the WENO is an efficient scheme for fluid flow simulations and shock waves, and both of them work on regular cartesian grids. The effectiveness and the accuracy of the coupled scheme are first analyzed on well-documented supersonic test problems for a wide range of Mach numbers. The results are in good agreement with both analytical and experimental data. A comprehensive analysis of the interaction of the moving shock through an array of cylinder matrix is then conducted by varying the number of cylinders in the matrix block while keeping the same opening passage. The relaxation length between two adjacent columns of cylinders is kept identical to study uniquely the effect of surface-to-volume ratio of the obstacle matrix. It is shown that the configuration with higher surface-to-volume ratio produces more post-shock flow instabilities downstream of the matrix block. The complex shock/shock and shock/vortex interactions are well resolved by the present computation. It is being observed that after the passage of the shock through the cylinder matrix, eddies of different length scales are generated, but the later stage of shock/vortex and shocklet/vortexlet interactions are different for the two cases. The analysis of the PSD of the total kinetic energy globally conforms to Richardson's inviscid cascade. An intermittent peaked PDF of downstream instantaneous vorticity field is obtained in the limit of Re ! 1. The baroclinic production of vorticity is found to be feeble as previously founded by Sun and Takayama (J. Fluid Mech. 2003; 478:237-256).

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“…The unsteady evolution of vortex rings produced by a shock diffraction undergoing a sudden expansion area is one of the most fascinating phenomenon in high-speed flows. This process was observed many decades ago [1][2][3], with different levels of qualitative description [4] and numerical modelling [5][6][7]. For instance, Skews [1] have discussed the behavior of disturbances produced in the perturbed region caused by the passage of a shock wave, whose Mach number varies from 1.0 to 5.0, through a convex corner.…”

Section: Introductionmentioning

confidence: 99%

“…Additionally, Tseng and Yang [6] investigated numerically shockwave diffraction around a convex corner by solving both Euler and Navier-Stokes equations. The vorticity production formed during the shock-wave diffraction and the subsequent interaction between the reflected shock and the main vortex core have been analyzed.…”

Section: Introductionmentioning

confidence: 99%

Analysis of shock-wave diffraction over double cylindrical wedges. Part II: Vorticity generation

et al. 2020

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The unsteady aspect of turbulent flow structures generated by a shock-wave diffraction over double cylindrical wedges, with initial diffracting angle of ∘ 75 , are numerically investigated by means of two-dimensional highfidelity numerical simulation. Different incident-shock-Mach numbers, ranging from transonic to supersonic regimes, are considered. Unlike previous studies where only the total vorticity production is evaluated, the current paper offers more insights into the spatio-temporal behavior of the circulation by evaluating the evolution of the instantaneous vorticity equation balance. The results show, for the first time, that the diffusion of the vorticity due to the viscous effects is quite important compared to the baroclinic term for low Mach numbers regimes, while this trend is inverted for higher Mach numbers regimes. It is also found that the stretching of the vorticity due to the compressibility effects plays an important role in the vorticity production. In terms of pressure impulses, the effect of the first concave surface on the shock strength has been quantified at both earlier and final stages of the shock diffraction process. Unlike the overpressure, the static and the dynamic pressure impulses are shown to be significantly reduced at the end of the first concave surface.

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Numerical Simulation of Vorticity Production in Shock Diffraction

Cited by 15 publications

References 16 publications

Unsteady three-dimensional compressible vortex flows generated during shock wave diffraction

Unsteady three-dimensional compressible vortex flows generated during shock wave diffraction

Computational study of shock‐wave interaction with solid obstacles using immersed boundary methods

Analysis of shock-wave diffraction over double cylindrical wedges. Part II: Vorticity generation

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