Precursor shock waves at a slow—fast gas interface

Abdel‐Fattah, Azza M.; Henderson, L. F.; Lozzi, Andrei

doi:10.1017/s0022112076003182

Cited by 62 publications

(27 citation statements)

References 8 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Their results indicate that on the beryllium side of the explosive, a compression wave in the beryllium drives a shock in the explosive ahead of the detonation wave. This is somewhat akin to what happens at fast-slow interfaces in gases [9]. However, in our subsonic inert flow case, we do not expect a shock in the confiner when steady state is achieved.…”

Section: Free Outer Boundary Problemsupporting

confidence: 64%

Interactions of Inert Confiners with Explosives

Sharpe

Bdzil

2006

J Eng Math

View full text Add to dashboard Cite

Abstract. The deformation of an inert confiner by a steady detonation wave in an adjacent explosive is investigated for cases where the confiner is sufficiently strong (or the explosive sufficiently weak) such that the overall change in the sound speed of the inert is small. A coupling condition which relates the pressure to the deflection angle along the explosive-inert interface is determined. This includes its dependence on the thickness of the inert, for cases where the initial sound speed of the inert is less than or greater than the detonation speed in the explosive (supersonic and subsonic inert flows, respectively). The deformation of the inert is then solved by prescribing the pressure along the interface. In the supersonic case, the detonation drives a shock into the inert, subsequent to which the flow in the inert consists of alternating regions of compression and tension. In this case reverberations or 'ringing' occurs along both the deflected interface and outer edge of the inert. For the subsonic case, the flow in the interior of the inert is smooth and shockless. The detonation in the explosive initially deflects the smooth interface towards the explosive. For sufficiently thick inerts in such cases, it appears that the deflection of the confiner would either drive the detonation speed in the explosive up to the sound speed of the inert or drive a precursor wave ahead of the detonation in the explosive. Transonic cases, where the inert sound speed is close to the detonation speed, are also considered. It is shown that the confinement affect of the inert on the detonation is enhanced as sonic conditions are approached from either side.

show abstract

Section: Free Outer Boundary Problemsupporting

confidence: 64%

Interactions of Inert Confiners with Explosives

Sharpe

Bdzil

2006

J Eng Math

View full text Add to dashboard Cite

show abstract

“…Their results are in excellent and Glaz [14], and Colella and Woodward [17] for the agreement with the shock refraction experiments of compressible Euler equations for a single material. This Abd-el-Fattah and Henderson [1][2][3] and Jahn [24]. methodology is second-order accurate in regions of smooth…”

Section: Introductionmentioning

confidence: 98%

A High-Order Godunov Method for Multiple Condensed Phases

Miller

Puckett

1996

Journal of Computational Physics

188

166

View full text Add to dashboard Cite

“…The material properties and {i will determine which one is present as a~ increases towards transition to an irregular system. By definition, regular refraction ends at the shock critical angle ai = ctsc (43) Both experiments (Abdel-Fattah et al 1976;Abdel-Fattah and Henderson 1978b) and numerical results (Henderson et al 1990a(Henderson et al , 1990b show that the criterion which determines this condition is at, or close to, the point where there is sonic flow downstream of the t shock. For ct, i > o~8c, the A~ -1 matrix has unreal elements so the yon Neumann theory provides no physically realistic solutions.…”

Section: Slow-fast Refraction N <mentioning

confidence: 94%

The vector refraction law for shock waves

Henderson

1992

Shock Waves

Self Cite

View full text Add to dashboard Cite

Abstract. The law is formulated in vector form and isshown to be a powerful principle for studying the refraction of shock waves. A variety of criteria for the onset of irregular refraction are discussed. The refraction index matrix is defined and it is shown that it arises naturally from the law. A projection matrix is also defined and it is found to be useful for operating on the vector wave impedance. It is expected that the methods described here will be useful for the numerical solution of problems in the refraction of shocks by materials with continuous changes in properties. The refraction law is violated in fast-slow refraction by the reflected wave over-running the incident shock to produce an irregular refraction which is either the anomalous type or the Mach-reflection-reffaction type. For slow-fast refraction the law is violated by the transmitted wave becoming a precursor and also over-running the incident shock. The precursor may either be a shock or an evanescent compression wave band.

show abstract

Precursor shock waves at a slow—fast gas interface

Cited by 62 publications

References 8 publications

Interactions of Inert Confiners with Explosives

Interactions of Inert Confiners with Explosives

A High-Order Godunov Method for Multiple Condensed Phases

The vector refraction law for shock waves

Contact Info

Product

Resources

About