Numerical Investigation of Reflected Shock/Vortex Interaction near an Open-Ended Duct

Shen, Liang; Chung, Wen-Tai; Chen, Hua; Shyu, Shiuh Hwa

doi:10.2514/1.2357

Cited by 7 publications

(3 citation statements)

References 16 publications

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“…Many papers in the literature use WENO scheme to study the details of shock vortex interactions in different physical setup and regimes, for example [57,116,117,131,179,180]. See also related work in blast wave/vortex interaction and sound generation in [21]; shock wave-thermal inhomogeneity interactions in [58]; reflected shock/vortex interaction near an openended duct in [93]; and shock/vortex interactions induced by blast waves in [94]. As an example of shock vortex interaction, in Figure 6.1 we plot the shadowgraphs (contours of ∇ 2 ρ where ρ is the density) of an oblique Mach 1.2 shock with a strong colliding vortex pair simulated by the fifth order WENO scheme for the compressible Navier-Stokes equations [180].…”

Section: Computational Fluid Dynamicsmentioning

confidence: 99%

High Order Weighted Essentially Nonoscillatory Schemes for Convection Dominated Problems

Shu¹

2009

SIAM Rev.

790

589

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High order accurate weighted essentially non-oscillatory (WENO) schemes are relatively new but have gained rapid popularity in numerical solutions of hyperbolic partial differential equations and other convection dominated problems. The main advantage of such schemes is their capability to achieve arbitrarily high order formal accuracy in smooth regions while maintaining stable, non-oscillatory and sharp discontinuity transitions. The schemes are thus especially suitable for problems containing both strong discontinuities and complex smooth solution features. WENO schemes are robust and do not require the users to tune parameters, thus they are very convenient to use for practitioners. In this paper we review the history and basic formulation of WENO schemes, outline the main ideas in using WENO schemes to solve various hyperbolic partial differential equations and other convection dominated problems, and present a collected sample of applications in areas including computational fluid dynamics, computational astronomy and astrophysics, semiconductor device simulation, traffic flow models, and computational biology. Finally, we mention a few topics currently being investigated about WENO schemes.

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Section: Computational Fluid Dynamicsmentioning

confidence: 99%

High Order Weighted Essentially Nonoscillatory Schemes for Convection Dominated Problems

Shu¹

2009

SIAM Rev.

790

589

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“…Liang and Lo [8] numerically investigated shock/vortex interactions induced by blast wave diffraction around a 90 sharp convex corner, and found that a pair of vortices could be generated by the diffracted blast wave. Later, Liang et al [9] numerically investigated the detailed spiral flow structure, induced by a planar shock wave, near a twodimensional circular duct exit. They also showed some computational holographic interferograms near the duct exit for different incident shock Mach numbers.…”

Section: Introductionmentioning

confidence: 99%

Experimental and Numerical Study on a Straight Exhaust Pipe

Shen

Wang

2011

J. mech.

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In this study, radiated noise is investigated by experimental and numerical methods for a straight exhaust pipe of diameter 23mm that replaces the original exhaust pipe of a motorcycle of EZ 125cc provided by Kwang Yang Motor Co. In experiment, temperature, pressure and flow speed of the exhausted gas have been measured for different engine speeds ranging from 3000-5000rpm without loading. Sound pressure levels (SPL) at a distance of 0.5m from the exhaust pipe exit for different inclination angles (0 ~ 90) were recorded and compared with the result of simulation. In numerical simulation, a high-resolution 5th-order Euler solver was used and conducted on a parallel computation system with a cluster of 4 personal computers with dual processors. It is found that the back-and-forth reflection of expansion waves inside the pipe due to the shock wave diffraction around the pipe exit is the mechanism of radiating sound waves from the exhaust pipe. The numerical result shows the exhausted-gas flow with complicated vortex rings and its associated acoustic field. The acoustic field indicates that there are three sound lobes with different directivities for the engine speed of 4000rpm.

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“…[4,5], and thus are omitted here. Later, Liang et al [7] numerically investigated the detailed vortical flow structure, induced by a planar shock wave, near a two-dimensional circular duct exit. They also showed some computational holographic interferograms near the duct exit for different incident shock Mach numbers.…”

Section: Introductionmentioning

confidence: 99%

Analysis and prediction of shock-induced near-field acoustics from an exhaust pipe

Shen¹,

Tai²

2011

Computers & Fluids

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Numerical Investigation of Reflected Shock/Vortex Interaction near an Open-Ended Duct

Cited by 7 publications

References 16 publications

High Order Weighted Essentially Nonoscillatory Schemes for Convection Dominated Problems

High Order Weighted Essentially Nonoscillatory Schemes for Convection Dominated Problems

Experimental and Numerical Study on a Straight Exhaust Pipe

Analysis and prediction of shock-induced near-field acoustics from an exhaust pipe

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