Anomalous Reflection of a Shock Wave at a Fluid Interface

Grove, John W.; Menikoff, Ralph

doi:10.1007/978-1-4613-9121-0_12

Cited by 25 publications

(54 citation statements)

References 11 publications

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“…All these patterns were simulated for the first time in this work. For the fast-slow case, the patterns shown are predictions based on our numerical results and those of Grove and Menikoff (1990) constructing efficient and accurate numerical schemes for multi-dimensional flow situations which involve shock-interface interactions. In this respect, the proposed path follows naturally from the idea of Godunov (1959) and works of his followers (van Leer, 1979) over the past half century, who have made use of exact and approximate solutions of the one-dimensional Riemann problem for numerical scheme construction.…”

Section: Introductionmentioning

confidence: 95%

“…Following previous studies (Henderson et al, 1991;Grove and Menikoff, 1990), the gas dynamics is described using the two-dimensional Euler equations (Landau and Lifschitz, 1988) neglecting surface tension, viscous and heat transport effects. Numerical simulations were performed using a computational domain of size L · H, see Fig.…”

Section: Problem Formulationmentioning

confidence: 99%

“…An irregular wave pattern results from breakdown of the local description of an elementary wave pattern in terms of steady supersonic flows. Understanding the physics of such pattern formation and its effects on interface evolution has long been a subject of research, using combinations of theory (von Neumann, 1943;Whitham, 1958Whitham, , 1959Henderson, 1966;Catherasoo and Sturtevant, 1983;Schwendeman, 1988), experiments (Jahn, 1956;Abd-El-Fattah et al, 1976;Abd-El-Fattah and Henderson, 1978a,b;Haas and Sturtevant, 1987;Bourne and Field, 1992;Igra and Takayama, 2003;Takayama, 1987) and numerical simulations (Grove and Menikoff, 1990;Henderson et al, 1991;Liu et al, 2001). Such phenomena take place in numerous settings, a small sampling of which is illustrated in Figs.…”

Section: Introductionmentioning

confidence: 98%

“…They considered shock refraction at an initially flat, slow-fast, gas-gas interface (see Table 1), and the results were found to be consistent with Abd-El-Fattah and HendersonÕs (1978b) experiments. Grove and Menikoff (1990) considered fast-slow, liquid-gas interfaces and studied ''anomalous reflection'', a ''pattern'' very similar to Abd-El-Fattah and HendersonÕs CFR(ARE), in shock-induced bubble collapse and underwater explosion problems. This work was based on a front-tracking method developed by Chern et al (1985).…”

Section: Introductionmentioning

confidence: 99%

“…In addition we examine the fast-slow, liquid-gas system for which information can be obliquely inferred from the numerical work of Grove and Menikoff (1990) made in the context of shockinduced bubble collapse, and underwater explosion. The so-derived understanding, and scoping calculations lead us to believe that in the slow-fast, gas-liquid system, further rich behavior exists under weak, strong, and extremely strong shocking, a comprehensive consideration of which we leave for future work.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Shock wave refraction patterns at interfaces

Sushchikh

Dinh

Theofanous

2005

International Journal of Multiphase Flow

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Section: Introductionmentioning

confidence: 95%

Section: Problem Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Shock wave refraction patterns at interfaces

Sushchikh

Dinh

Theofanous

2005

International Journal of Multiphase Flow

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A Volume-of-fluid Type Algorithm for Compressible Two-phase Flows

Shyue

1999

Hyperbolic Problems: Theory, Numerics, Applications

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We present a simple approach to the computation of a simpli ed two-phase ow model involving gases and liquids separated by interfaces in multiple space dimensions. In contrast to the many popular techniques which are mainly concerned with the incompressible ow, we consider a compressible version of the model equations without the e ect of surface tension and viscosity. We use the -law and the Tait equation of state for approximating the material property of the gas and the liquid in a respective manner. The algorithm uses a volume-of-uid formulation of the equations together with a sti ened gas equation of state that is derived to give an approximate model for the mixture of more than one phase of the uids within grid cells. A standard high-resolution shock capturing method based on a wave-propagation view-point is employed to solve the proposed model. We show results of some preliminary calculations that illustrate the viability of the method to practical application without the occurrence of any spurious oscillation in the pressure near the interfaces. This includes results of a planar shock wave in water over a bubble of air.

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An adaptive interface sharpening methodology for compressible multiphase flows

Majidi

Afshari

2016

Computers & Mathematics with Applications

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A numerical methodology is developed to combine the advantages of adaptive mesh refinement (AMR) and interface sharpening technique. A five-equation compressible multiphase model with capillary and viscous effects is considered.The solver employs a wave propagation method along with the Tangent of Hyperbola for INterface Capturing (THINC) scheme. To calculate interface normal and curvature, an implicit filtering method is introduced which transforms the sharpened volume fraction variable to a variant with smoothed distribution. The accuracy and performance of our method is assessed through its application to multiple compressible interface problems ranging from high-Mach number shockinterface interaction to gravity driven flows with viscosity and surface tension effects. The results obtained for one-dimensional shock-tube and tin-air interaction problems are shown to compare well with analytical data. The flow patterns predicted for shock-bubble interaction and under-water explosion match those from the landmark experimental and numerical studies. Furthermore, the trends 1 2 and values predicted for spike position in the Rayleigh-Taylor instability and bubble's center location in bubble rising are consistent with those found in literature. Particularly, it is shown that the coupled AMR-THINC method remarkably prevents excessive interface smearing and captures delicate interfacial features such as shear-induced instabilities encountered in shock-bubble interaction.

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Anomalous Reflection of a Shock Wave at a Fluid Interface

Cited by 25 publications

References 11 publications

Shock wave refraction patterns at interfaces

Shock wave refraction patterns at interfaces

A Volume-of-fluid Type Algorithm for Compressible Two-phase Flows

An adaptive interface sharpening methodology for compressible multiphase flows

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