Scale coupling in Richtmyer-Meshkov flows induced by strong shocks

Stanić, Miloš; Stellingwerf, R. F.; Cassibry, Jason; Abarzhi, Snezhana I.

doi:10.1063/1.4744986

Cited by 40 publications

(92 citation statements)

References 34 publications

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“…A discussion on the agreement and disagreement between compressible linear theory, based on the linearization of the Euler equations in one space dimension, and the impulsive model was discussed in (Velikovich and Dimonte 1996;Yang et al 1994). Large eddy and direct numerical simulations can greatly benefit from comparing the numerical results with theoretical results, including zero-order, linear, weakly nonlinear and highly nonlinear theories, similar to Stanic et al (2012).…”

Section: The Richtmyer-meshkov Instabilitymentioning

confidence: 99%

Computing multi-mode shock-induced compressible turbulent mixing at late times

et al. 2015

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Both experiments and numerical simulations pertinent to the study of self-similarity in shock-induced turbulent mixing often do not cover sufficiently long enough times for the mixing layer to become developed in a fully turbulent manner. When the Mach number of the flow is sufficiently low, numerical simulations based on the compressible flow equations tend to become less accurate due to inherent numerical cancellation errors. This paper concerns a numerical study of the late time behaviour of single-shocked Richtmyer-Meshkov Instability (RMI) and associated compressible turbulent mixing using a new technique that addresses the above limitation. The present approach exploits the fact that RMI is a compressible flow during the early stages of the simulation and incompressible at late times. Therefore, depending on the compressibility of the flow field the most suitable model, compressible or incompressible, can be employed. This motivates the development of a hybrid compressible-incompressible solver that removes the low-Mach number limitations of the compressible solvers, thus allowing numerical simulations of late time mixing. Simulations have been performed for a multi-mode perturbation at the interface between two fluids of densities corresponding to an Atwood number of 0.5, and results are presented for the development of the instability, mixing parameters and turbulent kinetic energy spectra. The results are discussed in comparison with previous compressible simulations, theory and experiments.

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Section: The Richtmyer-meshkov Instabilitymentioning

confidence: 99%

Computing multi-mode shock-induced compressible turbulent mixing at late times

et al. 2015

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“…[22][23][24][25][26][27] Also, due to the conservation of tangential velocity at the rippled shock fronts, transverse velocity perturbations are generated inside the compressed fluids, which account for vorticity generation in the bulks. 23,25,[28][29][30][31][32][33][34] Cobos-Campos and Wouchuk 34,35 reported that bulk vortices with sufficiently small vorticity stabilize the interfacial instability, at least in the (compressible) linear stage. 25,[30][31][32][33][34] When the incident shock is strong and/or the amplitude of initial perturbations is large, it is known that a lot of vortices are left behind with the transmitted shock.…”

Section: Introductionmentioning

confidence: 99%

“…23,25,[28][29][30][31][32][33][34] Cobos-Campos and Wouchuk 34,35 reported that bulk vortices with sufficiently small vorticity stabilize the interfacial instability, at least in the (compressible) linear stage. 25,[30][31][32][33][34] When the incident shock is strong and/or the amplitude of initial perturbations is large, it is known that a lot of vortices are left behind with the transmitted shock. 23,26,36 These bulk vortices can interact with the interface and they affect the vorticity distribution on the interface.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear interaction between bulk point vortices and an unstable interface with nonuniform velocity shear such as Richtmyer–Meshkov instability

Matsuoka

Nishihara

2020

Physics of Plasmas

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The nonlinear interaction between bulk point vortices and a vortex sheet with initially nonuniform velocity shear is investigated theoretically and numerically by use of the vortex method, taking the incompressible Richtmyer-Meshkov instability as an example. As the point vortices approach the interface, i.e., a nonuniform vortex sheet, they increase the local sheet strength of the vortex sheet, which causes different types of interface deformation depending on the sign of their circulation of point vortices. For example, when the circulation of a point vortex is the opposite sign of the local sheet strength, it induces a new type of vortex pair with an local enhanced sheet vortex. We refer to that as a pseudo-vortex pair in the current study. The pseudo-vortex pair creates a local satellite mushroom at the fully nonlinear stage. The obtained results indicate that the complexity of the interface structure is enhanced if the bulk vortices exist.

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“…[7][8][9][10] The RT instability has the fastest growth rate. 11 For impulsively accelerated, mixed-material, liner-on-target pinches, i.e., those of present interest, the Richtmyer-Meshkov (RM) instability [12][13][14] may also be important. Many experimental configurations have been used to mitigate the effects of acceleration-driven RT instabilities, for example: distributing the load mass quasiuniformly (as in a large-array of fine wires), 15,16 using a gaspuff to disperse uniformly the mass distribution, 17 ensuring a high-degree of initial plasma pre-ionization, 18,19 imposing a sheared-plasma flow, 20 pre-magnetizing the pinch with an axial-magnetic field, 21,22 nesting the pinch as a series of concentric loads, to effectuate a staged-energy transfer, [23][24][25][26][27][28] etc.…”

Section: Introductionmentioning

confidence: 99%

Shock waves in a Z-pinch and the formation of high energy density plasma

Rahman

Wessel

Ney³

et al. 2012

Physics of Plasmas

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A Z-pinch liner, imploding onto a target plasma, evolves in a step-wise manner, producing a stable, magneto-inertial, high-energy-density plasma compression. The typical configuration is a cylindrical, high-atomic-number liner imploding onto a low-atomic-number target. The parameters for a terawatt-class machine (e.g., Zebra at the University of Nevada, Reno, Nevada Terawatt Facility) have been simulated. The 2-1/2 D MHD code, MACH2, was used to study this configuration. The requirements are for an initial radius of a few mm for stable implosion; the material densities properly distributed, so that the target is effectively heated initially by shock heating and finally by adiabatic compression; and the liner's thickness adjusted to promote radial current transport and subsequent current amplification in the target. Since the shock velocity is smaller in the liner, than in the target, a stable-shock forms at the interface, allowing the central load to accelerate magnetically and inertially, producing a magneto-inertial implosion and high-energy density plasma. Comparing the implosion dynamics of a low-Z target with those of a high-Z target demonstrates the role of shock waves in terms of compression and heating. In the case of a high-Z target, the shock wave does not play a significant heating role. The shock waves carry current and transport the magnetic field, producing a high density on-axis, at relatively low temperature. Whereas, in the case of a low-Z target, the fast moving shock wave preheats the target during the initial implosion phase, and the later adiabatic compression further heats the target to very high energy density. As a result, the compression ratio required for heating the low-Z plasma to very high energy densities is greatly reduced. V

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Scale coupling in Richtmyer-Meshkov flows induced by strong shocks

Cited by 40 publications

References 34 publications

Computing multi-mode shock-induced compressible turbulent mixing at late times

Computing multi-mode shock-induced compressible turbulent mixing at late times

Nonlinear interaction between bulk point vortices and an unstable interface with nonuniform velocity shear such as Richtmyer–Meshkov instability

Shock waves in a Z-pinch and the formation of high energy density plasma

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