Two-dimensional modeling of magnetically driven Rayleigh–Taylor instabilities in cylindrical Z pinches

Bowers, R.L.; Brownell, J. H.; Greene, A.E.; McLenithan, K. D.; Oliphant, T.A.; Roderick, N. F.; Scannapieco, A. J.

doi:10.1063/1.871862

Cited by 104 publications

(86 citation statements)

References 12 publications

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“…Different target configurations generally require different levels of initial perturbations to match experimental data. [20][21][22] Ideally, simulations should be able to predict instability growth from the intrinsic physical characteristics of the target itself. In the National Ignition Campaign (NIC), for example, simulations of ICF capsules set strict requirements on the amount of surface roughness and isolated defects acceptable to minimize instability growth.…”

Section: Introductionmentioning

confidence: 99%

Simulations of electrothermal instability growth in solid aluminum rods

Peterson

Sinars

et al. 2013

Physics of Plasmas

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A recent publication [K. J. Peterson et al., Phys. Plasmas 19, 092701 (2012)] describes simulations and experiments of electrothermal instability growth on well characterized initially solid aluminum and copper rods driven with a 20 MA, 100 ns rise time current pulse on Sandia National Laboratories Z accelerator. Quantitative analysis of the high precision radiography data obtained in the experiments showed excellent agreement with simulations and demonstrated levels of instability growth in dense matter that could not be explained by magneto-Rayleigh-Taylor instabilities alone. This paper extends the previous one by examining the nature of the instability growth in 2D simulations in much greater detail. The initial instability growth in the simulations is shown via several considerations to be predominantly electrothermal in nature and provides a seed for subsequent magneto-Rayleigh-Taylor growth.

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Section: Introductionmentioning

confidence: 99%

Simulations of electrothermal instability growth in solid aluminum rods

Peterson

Sinars

et al. 2013

Physics of Plasmas

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“…Two-dimensional RMHC simulations [23,40] in the r-z plane reproduce a number of the characteristics exhibited in Fig. 10 for these azimuthally-symmetric arrays, as is illustrated by the E-RMHC simulation of the pulseshape and spatial size shown in Figs.…”

Section: B Modelingmentioning

confidence: 92%

“…The data show that the narrow (<5 ns) radiation pulses generated by intecwire gaps below -0.5 mm can be realistically simulated by the 2-D Eulerian radiationmagnetohydrodynamic code (E-RMHC) [23,24], in which Rayleigh-Taylor (RT) growth dominates the implosion dynamics in the r-z plane. For these simulations, the array is idealized as a uniform, cylindrically-symmetric shell with a random-density variation in the r-z plane that seeds the RT instability.…”

Section: Introductionmentioning

confidence: 99%

Wire array Z-pinch insights for enhanced x-ray production

et al. 1999

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Comparisons of measured total radiated x-ray power from annular wire-array z-pinches with a variety of models as a function of wire number, array mass, and load radius are reviewed. The data, which are comprehensive, have provided important insights into the features of wire-array dynamics that are critical for high x-ray power generation. Collectively, the comparisons of the data with the model calculations suggest that a number of underlying dynamical mechanisms involving cylindrical asymmetries and plasma instabilities contribute to the measured characteristics. For example, under the general assumption that the measured risetime of the total-radiated-power pulse is related to the thickness of the plasma shell formed on axis, the Heuristic Model [IEEE Trans. Plasma Sci. 26, 1275 (1998)] agrees with the measured risetime under a number of specific assumptions about the way the breakdown of the wires, the wire-plasma expansion, and the Rayleigh–Taylor instability in the r–z plane, develop. Likewise, in the high wire-number regime (where the wires are calculated to form a plasma shell prior to significant radial motion of the shell) the comparisons show that the variation in the power of the radiation generated as a function of load mass and array radius can be simulated by the two-dimensional Eulerian-radiation- magnetohydrodynamics code (E-RMHC) [Phys. Plasmas 3, 368 (1996)], using a single random-density perturbation that seeds the Rayleigh–Taylor instability in the r–z plane. For a given pulse-power generator, the comparisons suggest that (1) the smallest interwire gaps compatible with practical load construction and (2) the minimum implosion time consistent with the optimum required energy coupling of the generator to the load should produce the highest total-radiated-power levels.

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“…These target high energy-density simulations [32][33][34] provide insight into the underlying dynamics. The simulations; take into account the development of the magnetically-driven RT (Rayleigh-Taylor) instability in the r-z @ane of the imploding tungsten load, x-ray generation as the tungsten plasma strikes the target, and radiation transport to the hohlraum.…”

Section: Introductionmentioning

confidence: 99%

Dynamics of a Z-pinch x-ray source for heating inertial-confinement-fusion relevant hohlraums to 120–160 eV

et al. 2000

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JU@ /-72&')(j 0s7/ 'AbstractA z-pinch radiation source has been developed that generates 6W20 lc.1of x-rays with a peak power of 13*4 TW through a 4-mm diameter axial aperture on the Z facility. The source has heated ND? (National Ignition Facility)-scale (6-mm diameter by 7-mm high) hohlraums to 122&6 eV and reduced-scale (4-mm diameter by 4-mm high) hohlraurns to 155*8 eV --providing environments suitable for indirect-drive ICF (Inertial Confinement Fusion) studies.Eulerian-RMHC (radiation-hydrodynamics code) simulations that take into account the development of the Rayleigh-Taylor instability in the r-z plane provide integrated calculations of the implosion, x-ray generation, and hohlraurn heating, as well as estimates of wall motion and plasma fill within the hohlraums. Lagrangian-RMHC simulations su'ggestthat the addition of a 6 mg/cm3 C~fill in the reduced-scale hohlraum decreases hohlmum inner-wall velocity by -40% with only a 3-5 % decrease in peak temperature, in agreement with measurements.

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Two-dimensional modeling of magnetically driven Rayleigh–Taylor instabilities in cylindrical Z pinches

Cited by 104 publications

References 12 publications

Simulations of electrothermal instability growth in solid aluminum rods

Simulations of electrothermal instability growth in solid aluminum rods

Wire array Z-pinch insights for enhanced x-ray production

Dynamics of a Z-pinch x-ray source for heating inertial-confinement-fusion relevant hohlraums to 120–160 eV

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