Rayleigh–Taylor instability of steady ablation fronts: The discontinuity model revisited

Piriz, A. R.; Sanz, J.; Ibáñez, L. F.

doi:10.1063/1.872200

Cited by 135 publications

(193 citation statements)

References 31 publications

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“…Another stabilization mechanism in ablative RMI, called dynamic overpressure, is discussed in Goncharov (1999) and Goncharov et al (2000), in which the sharp-boundary model (SBM) was used instead of the deflagration model. The SBM was originally developed to study ablative RTI (Piriz et al 1997). It was shown that, using the isothermal approximation of the ablation front, the SBM reproduces the results of the self-consistent RTI theory (Sanz 1994(Sanz , 1996.…”

Section: (E) Rm-like Instabilities and Ablative Rmimentioning

confidence: 99%

“…It is also an important phenomenon in inertial confinement fusion (ICF), as it invariably develops during the early stages of target irradiation, when a sequence of shocks travels through the target. As the shock fronts are not uniform, their corrugations will induce a highly perturbed flow behind them, which will be the seed for the Rayleigh-Taylor instability (RTI) that occurs later during the acceleration phase of the target (Ishizaki & Nishihara 1997;Piriz et al 1997;Nishihara et al 1998;Goncharov 1999;Velikovich et al 2000). The RMI has also been thoroughly studied in experiments designed in shock tubes (Jones & Jacobs 1997;Zabusky 1999;Brouillette 2002) and has also become a fascinating research topic in the field of high-energy density experiments in matter.…”

Section: Introductionmentioning

confidence: 99%

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Richtmyer–Meshkov instability: theory of linear and nonlinear evolution

Nishihara

Wouchuk

Matsuoka

et al. 2010

Phil. Trans. R. Soc. A.

129

128

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A theoretical framework to study linear and nonlinear Richtmyer-Meshkov instability (RMI) is presented. This instability typically develops when an incident shock crosses a corrugated material interface separating two fluids with different thermodynamic properties. Because the contact surface is rippled, the transmitted and reflected wavefronts are also corrugated, and some circulation is generated at the material boundary. The velocity circulation is progressively modified by the sound wave field radiated by the wavefronts, and ripple growth at the contact surface reaches a constant asymptotic normal velocity when the shocks/rarefactions are distant enough. The instability growth is driven by two effects: an initial deposition of velocity circulation at the material interface by the corrugated shock fronts and its subsequent variation in time due to the sonic field of pressure perturbations radiated by the deformed shocks. First, an exact analytical model to determine the asymptotic linear growth rate is presented and its dependence on the governing parameters is briefly discussed. Instabilities referred to as RM-like, driven by localized non-uniform vorticity, also exist; they are either initially deposited or supplied by external sources. Ablative RMI and its stabilization mechanisms are discussed as an example. When the ripple amplitude increases and becomes comparable to the perturbation wavelength, the instability enters the nonlinear phase and the perturbation velocity starts to decrease. An analytical model to describe this second stage of instability evolution is presented within the limit of incompressible and irrotational fluids, based on the dynamics of the contact surface circulation. RMI in solids and liquids is also presented via molecular dynamics simulations for planar and cylindrical geometries, where we show the generation of vorticity even in viscid materials.

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Section: (E) Rm-like Instabilities and Ablative Rmimentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Richtmyer–Meshkov instability: theory of linear and nonlinear evolution

Nishihara

Wouchuk

Matsuoka

et al. 2010

Phil. Trans. R. Soc. A.

129

128

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“…[35][36][37] In conventional ICF, the laserdriven target compression and heating require a high degree of irradiation symmetry so as to limit the growth of hydrodynamical instabilities. 38,39 In order to fulfill drastic symmetry requirements, ICF facilities under construction such as the National Ignition Facility 40 or the Laser Megajoule 41 rely on the so-called indirect drive approach wherein nanosecond laser pulses first hit the inner walls of a high-Z hohlraum containing the DT pellet. The laser-hohlraum interaction then produces a quasihomogeneous x-ray radiation bath, which, by tailoring the incident laser intensity profile, drives a series of shock waves expected, if efficiently synchronized, to both compress and heat the target up to ignition temperatures.…”

Section: B Fast Ignition Scenariomentioning

confidence: 99%

Multidimensional electron beam-plasma instabilities in the relativistic regime

2010

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The interest in relativistic beam-plasma instabilities has been greatly rejuvenated over the past two decades by novel concepts in laboratory and space plasmas. Recent advances in this long-standing field are here reviewed from both theoretical and numerical points of view. The primary focus is on the two-dimensional spectrum of unstable electromagnetic waves growing within relativistic, unmagnetized, and uniform electron beam-plasma systems. Although the goal is to provide a unified picture of all instability classes at play, emphasis is put on the potentially dominant waves propagating obliquely to the beam direction, which have received little attention over the years. First, the basic derivation of the general dielectric function of a kinetic relativistic plasma is recalled. Next, an overview of two-dimensional unstable spectra associated with various beam-plasma distribution functions is given. Both cold-fluid and kinetic linear theory results are reported, the latter being based on waterbag and Maxwell-Jüttner model distributions. The main properties of the competing modes ͑developing parallel, transverse, and oblique to the beam͒ are given, and their respective region of dominance in the system parameter space is explained. Later sections address particle-in-cell numerical simulations and the nonlinear evolution of multidimensional beam-plasma systems. The elementary structures generated by the various instability classes are first discussed in the case of reduced-geometry systems. Validation of linear theory is then illustrated in detail for large-scale systems, as is the multistaged character of the nonlinear phase. Finally, a collection of closely related beam-plasma problems involving additional physical effects is presented, and worthwhile directions of future research are outlined.

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“…Nevertheless, the problem is not mathematically closed. A possible option is to keep one free parameter that can be taken a posteriori as an input from 1D simulations [8]. In the present model, the existence of two ablation fronts leads to keep two free parameters: r D , the ratio between the plateau and the peak density and d p , the plateau length.…”

Section: Analytical Discontinuity Model For Stability Analysismentioning

confidence: 99%

Modeling hydrodynamic instabilities of double ablation fronts in inertial confinement fusion

Yañez

Sanz

Olazabal-Loumé

et al. 2013

EPJ Web of Conferences

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Abstract.A linear Rayleigh-Taylor instability theory of double ablation (DA) fronts is developed for directdrive inertial confinement fusion. Two approaches are discussed: an analytical discontinuity model for the radiation dominated regime of very steep DA front structure, and a numerical self-consistent model that covers more general hydrodynamic profiles behaviours. Dispersion relation results are compared to 2D simulations.

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Rayleigh–Taylor instability of steady ablation fronts: The discontinuity model revisited

Cited by 135 publications

References 31 publications

Richtmyer–Meshkov instability: theory of linear and nonlinear evolution

Richtmyer–Meshkov instability: theory of linear and nonlinear evolution

Multidimensional electron beam-plasma instabilities in the relativistic regime

Modeling hydrodynamic instabilities of double ablation fronts in inertial confinement fusion

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