Experimental investigation of the inclined interface Richtmyer–Meshkov instability before and after reshock

McFarland, Jacob; Reilly, David; Creel, Skylar; McDonald, Christopher; Finn, Thomas; Ranjan, Desh

doi:10.1007/s00348-013-1640-1

Cited by 52 publications

(20 citation statements)

References 46 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…The shapes of the gas interface in previous studies mainly include the single-mode interface (Meshkov 1969;Brouillette 2002;Jacobs & Krivets 2005;Mariani et al 2008;Long et al 2009;Balakumar et al 2012;, the spherical or cylindrical bubble formed by a soap film (Haas & Sturtevant 1987;Hosseini & Takayama 2005;Layes, Jourdan & Houas 2009;Haehn et al 2011Haehn et al , 2012Zhai et al 2011;Si et al 2012), the membrane-less gas cylinder (Jacobs 1992(Jacobs , 1993Tomkins et al 2008;Zhai et al 2014;Zou et al 2010) or gas curtain Orlicz et al 2009;Balakumar et al 2012;Balasubramanian et al 2012;Tomkins et al 2013) formed by the jet technique and the inclined planar interface (Wang et al 2012;McFarland et al 2014). Besides these classical interface shapes, Mikaelian (2005) theoretically and numerically studied the RMI on an initial interface with a discontinuous change in its first derivative.…”

Section: Introductionmentioning

confidence: 99%

On the interaction of a planar shock with a light polygonal interface

Zhai

Wang

et al. 2014

J. Fluid Mech.

View full text Add to dashboard Cite

The interaction of a planar shock wave with a polygonal N 2 volume surrounded by SF 6 is investigated experimentally and numerically. Three polygonal interfaces (square, triangle and diamond) are formed by the soap film technique developed in our previous work, in which thin pins are introduced as angular vertexes to connect adjacent sides of polygonal soap films. The evolutions of the shock-accelerated polygonal interfaces are then visualized by a high-speed schlieren system. Wave systems and interface structures can be clearly identified in experimental schlieren images, and agree well with the numerical ones. Quantitatively, the movement of the distorted interface, and the length and height of the interface structures are further compared and good agreements are achieved between experimental and numerical results. It is found that the evolution of these polygonal interfaces is closely related to their initial shapes. In the square interface, two vortices are generated shortly after the shock impact around the left corner and dominate the flow field at late stages. In the triangular and diamond cases, the most remarkable feature is the small 'SF 6 jet' which grows constantly with time and penetrates the downstream boundary of the interface, forming two independent vortices. These distinct morphologies of the three polygonal interfaces also lead to the different behaviours of the interface features including the length and height. It is also found that the velocities of the vortex pair predicted from the theory of Rudinger and Somers (J. Fluid Mech., vol. 7, 1960, pp. 161-176) agree with the experimental ones, especially for the square case. Typical free precursor irregular refraction phenomena and the transitions among them are observed and analysed, which gives direct experimental evidence for wave patterns and their transitions at a slow/fast interface. The velocities of triple points and shocks are experimentally measured. It is found that the transmitted shock near the interface boundary has weakened into an evanescent wave.

show abstract

Section: Introductionmentioning

confidence: 99%

On the interaction of a planar shock with a light polygonal interface

Zhai

Wang

et al. 2014

J. Fluid Mech.

View full text Add to dashboard Cite

show abstract

“…2,[30][31][32][33][34][35][36][37] Many models, providing a comprehensive description of the evolution of a single-mode RM instability for the single-shock case exist in the open literature. The most updated study was presented in Dimonte et al, 28 along with a detailed review of existing models, and this case is well understood.…”

Section: Introductionmentioning

confidence: 99%

Reshocked Richtmyer-Meshkov instability: Numerical study and modeling of random multi-mode experiments

et al. 2014

View full text Add to dashboard Cite

The evolution of the three-dimensional planar Richtmyer-Meshkov (RM) instability during a two shock wave interaction (i.e., reshock) is investigated by means of comparing numerical simulations and analytical modelling with experimental results of low Mach numbers (M < 1.5) and fairly high Atwood numbers (A ∼ 0.7). The study discusses and analyses the differences in the evolution of the mixing zone for two different types of initial perturbations, namely, multi-mode random initial perturbation with a narrow or wide bubble size distribution. More specifically, the study is focused on the agreement between numerical simulations and experiments performed with an unknown random initial perturbation. Using a large set of experimental results with different reshock arrival times and Mach numbers, the numerical simulations results are compared to the experimental results for a variety of different scenarios. This methodology allows a constrained comparison, while requiring good agreement for all cases. A comprehensive parametric study is conducted, examining the evolution of the mixing zone (MZ) for different initial amplitudes and wavelengths. It is found that in order to achieve a good agreement, the numerical simulation must be performed using a wide enough initial spectrum, which enables a dominant, efficient bubble merging process to take place within the MZ. The numerical simulation results are compared to a model, based on classic single bubble RM evolution formulation, combined with high amplitude effects consideration and phase reversal treatment in case of heavy to light reshock passage. The model is also extended for the case of multi-mode fronts, accounting for a bubble merging process, determining that the MZ evolution after the reshock can be classified with high confidence as governed by an inverse cascade bubble merger, approaching self-similarity.

show abstract

“…101 Unfortunately, the pieces of the membrane and the support could have adverse effects on the flow evolution. Recently, a series of studies on the RM instability of an inclined interface have been performed by McFarland et al [102][103][104][105][106][107] using numerical, theoretical and experimental methods. The effects of the initial shock strength, gas pair, angle of inclination and re-shock on the interface evolution were highlighted.…”

Section: Cylindrical Gaseous Interfacementioning

confidence: 99%

“…The first known detailed experiments on the RM instability of an inclined interface were conducted using Mie scattering and PIV. 105 However, the baroclinic vorticity deposition and resulted perturbation growth were affected by smaller density gradient because of the gas diffusion. In order to generate a discontinuous inclined interface without supports, a soap film technique was extended by Luo et al 97,108 to form a 'V' shaped interface which is equivalent to an inclined interface with perfectly reflecting side walls.…”

Section: Cylindrical Gaseous Interfacementioning

confidence: 99%

Review of experimental Richtmyer–Meshkov instability in shock tube: From simple to complex

Zhai

Zou

et al. 2017

Proceedings of the Institution of Mechanical Engineers, Part C:

View full text Add to dashboard Cite

Richtmyer–Meshkov (RM) instability is regarded as a central role for understanding the hydrodynamic processes involved in inertial confinement fusion, supersonic combustion and supernova explosion. Because of its academic implication and engineering applications, the RM instability has received much attention since it was proposed. As an important tool for studying RM instability, shock tube experiment on shock–fluid interface interaction has been widely adopted and great progress has been achieved in past decades. The generation of a shock wave, the formation of an initial interface and the diagnostic of flow field are the three elements for studying the RM instability experimentally. This review surveys the advances in experimental investigations of RM instability in shock tube environment. Originating from a simple configuration as a planar shock interacting with a simple perturbed interface, the experimental study of RM instability approaches more complex situations like a convergent shock with a simple interface, or a planar shock with a complex interface. It is then expected that the experimental study on the real circumstance may be realized by using a complex shock with a complex interface. Finally, we propose the following issues for future study: (1) evolution of the RM instability induced by cylindrically converging shock waves; (2) effect of the three dimensions on the RM instability; (3) interaction of perturbed shock wave with an initially uniform or perturbed interface; and (4) formation and mixing mechanism of the compressible turbulence in the final stage of the RM instability.

show abstract

Experimental investigation of the inclined interface Richtmyer–Meshkov instability before and after reshock

Cited by 52 publications

References 46 publications

On the interaction of a planar shock with a light polygonal interface

On the interaction of a planar shock with a light polygonal interface

Reshocked Richtmyer-Meshkov instability: Numerical study and modeling of random multi-mode experiments

Review of experimental Richtmyer–Meshkov instability in shock tube: From simple to complex

Contact Info

Product

Resources

About