One-dimensional theory and simulations of the dynamic Z-pinch

Angus, J. R.; Link, A.; Schmidt, Andréa

doi:10.1063/1.5104340

Cited by 22 publications

(3 citation statements)

References 51 publications

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“…In this case, the adiabatic exponent is close to 5/3 and the material behind the SW front is compressed about four times. As a result, the SW front can break away from the current sheath (magnetic piston) for a considerable distance, much as demonstrated previously in [54].…”

Section: Resultssupporting

confidence: 68%

Studies on the implosion of pinches with tailored density profiles

Oreshkin

Baksht

Cherdizov

et al. 2021

Plasma Phys. Control. Fusion

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This paper presents the results of experimental and theoretical studies of imploding metal-puff Z-pinches. The experiments were carried out on the MIG high-current pulse generator at a current level of about 2 MA and a current rise time of about 100 ns. A plasma gun was used to produce a plasma column with a tailored density profile through which the main electromagnetic pulse of the MIG generator was passed. The experiments have shown that pinches of this type, being compressed, are resistant to dynamic magneto-Rayleigh–Taylor (MRT) instabilities. The experimental results were analyzed using one-dimensional radiation magnetohydrodynamic simulations. It has been shown that in a pinch with a tailored density profile, the formation of a high-temperature plasma at the pinch axis and the generation of x-rays occur at the stagnation stage, i.e. under conditions close to Bennett equilibrium. At this stage, flute-like MRT instabilities develop, causing the pinch to decay.

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Section: Resultssupporting

confidence: 68%

Studies on the implosion of pinches with tailored density profiles

Oreshkin

Baksht

Cherdizov

et al. 2021

Plasma Phys. Control. Fusion

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show abstract

“…On the one hand, this flash could be associated with a shock wave arrived at the axis. Such a shock wave, as shown in [35][36][37][38], can move away from the current sheath (acting as a magnetic piston) for a distance of 0.5-1 cm. On the other hand, the bright flash could occur due to the arrival of light ions at the pinch axis.…”

Section: Shotmentioning

confidence: 99%

Effect of tailored density profiles on the stability of imploding Z-pinches at microsecond rise time megaampere currents

Cherdizov¹,

Baksht²,

Kokshenev³

et al. 2021

Plasma Phys. Control. Fusion

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To study the effect of the radial density profile of the material of a metal-plasma Z-pinch load on the development of magneto-Rayleigh-Taylor (MRT) instabilities, experiments have been performed at the Institute of High Current Electronics with the GIT-12 generator produced microsecond rise time megaampere currents. The load was an aluminum plasma jet with an outer plasma shell. This configuration provides the formation of a uniform current sheath in a Z-pinch load upon application of a high voltage pulse. It was successfully used in experiments with hybrid deuterium gas-puffs [Klir et al. 2020 New J. Phys. 22 103036]. The initial density profiles of the Z-pinch loads were estimated from the pinch current and voltage waveforms using the zero-dimensional "snowplow" model, and they were verified by simulating the expansion of the plasma jet formed by a vacuum arc using a two-dimensional quasi-neutral hybrid model [Shmelev et al. 2020 Phys. Plasmas 27 092708]. Two Z-pinch load configurations were used in the experiments. The first configuration provided tailored load density profiles, which could be described as ρ(r) ≈ 1/r^s for s > 2. In this case, MRT instabilities were suppressed and thus a K-shell radiation yield of 11 kJ/cm and a peak power of 0.67 TW/cm could be attained at a current of about 3 MA. For the second configuration, the radial density profiles were intentionally changed using a reflector. This led to the appearance of a notch in the density profiles at radii of 1–3 cm from the pinch axis and to magnetohydrodynamic instabilities at the final implosion stage. As a result, the K-shell radiation yield more than halved and the power decreased to 0.15 TW/cm at a current of about 3.5 MA.

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“…This approach, commonly utilized in magnetospheric simulations and recently implemented for ALE codes 13 , however, requires modifications of MHD solver 14 and can not be used with standard MHD codes. Another option to better describe vacuum in pulsed-power simulations is using extended MHD [15][16][17][18] or hybrid fluid-kinetic approaches 19 .…”

Section: Introductionmentioning

confidence: 99%

Simulating a pulsed power-driven plasma with ideal MHD

Beresnyak,

Velikovich,

Giuliani

et al. 2022

Preprint

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We describe a simple practical numerical method for simulating plasma driven within a vacuum chamber by a pulsed power generator. Typically, in this type of simulation, the vacuum region adjacent to the plasma is approximated as a highly resistive, light fluid; this involves computationally expensive solvers describing the diffusion of the magnetic field through this fluid. Instead, we provide a recipe for coupling pulsed power generators to the MHD domain by approximating the perfectly insulating vacuum as a light, perfectly conducting, inviscid MHD fluid and discuss the applicability of this counter-intuitive technique. This, much more affordable ideal MHD representation, is particularly useful in situations where a plasma exhibits interesting three-dimensional phenomena, either due to the design of the experiment or due to developing instabilities. We verified that this coupling recipe works by modeling an exactly solvable flux compression generator as well as a self-similar Noh-like solution and demonstrated convergence to the theoretical solution. We also showed examples of simulating complex three-dimensional pulsed power devices with this technique. We release our code implementation to the public 1 .

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One-dimensional theory and simulations of the dynamic Z-pinch

Cited by 22 publications

References 51 publications

Studies on the implosion of pinches with tailored density profiles

Studies on the implosion of pinches with tailored density profiles

Effect of tailored density profiles on the stability of imploding Z-pinches at microsecond rise time megaampere currents

Simulating a pulsed power-driven plasma with ideal MHD

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