On a variational formulation of the weakly nonlinear magnetic Rayleigh–Taylor instability

Ruiz, D. E.

doi:10.1063/1.5132750

Cited by 10 publications

(4 citation statements)

References 72 publications

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“…These validated simulations can be used to qualify reduced ETG transport models. Additional local, ion scale simulations (GYRO) for this case illustrate the profile gradients sit just below the onset of very large, stiff ITG/TEM transport [72]. It is in these conditions (strong electron-scale drive, near-marginal ion-scales) that multi-scale effects have been found to be important in other tokamaks [73][74][75].…”

Section: Transport and Pedestal Structurementioning

confidence: 76%

NSTX-U theory, modeling and analysis results

Guttenfelder¹,

Battaglia²,

Белова³

et al. 2022

Nucl. Fusion

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The mission of the low aspect ratio spherical tokamak NSTX-U is to advance the physics basis and technical solutions required for optimizing the configuration of next-step steady-state tokamak fusion devices. NSTX-U will ultimately operate at up to 2 MA of plasma current and 1 T toroidal field on axis for 5 seconds, and has available up to 15 MW of Neutral Beam Injection (NBI) power at different tangency radii and 6 MW of High Harmonic Fast Wave (HHFW) heating. With these capabilities NSTX-U will develop the physics understanding and control tools to ramp-up and sustain high performance fully non-inductive plasmas with large bootstrap fraction and enhanced confinement enabled via the low aspect ratio, high beta configuration. With its unique capabilities, NSTX-U research also supports ITER and other critical fusion development needs. Super-Alfvénic ions in beam-heated NSTX-U plasmas access energetic particle parameter space that is relevant for both -heated conventional and low aspect ratio burning plasmas. NSTX-U can also generate very large target heat fluxes to test conventional and innovative plasma exhaust and plasma facing component (PFC) solutions. This paper summarizes recent analysis, theory and modelling progress to advance the tokamak physics basis in the areas of macrostability and 3D fields, energetic particle stability and fast ion transport, thermal transport and pedestal structure, boundary and plasma material interaction, RF heating, scenario optimization and real-time control.

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Section: Transport and Pedestal Structurementioning

confidence: 76%

NSTX-U theory, modeling and analysis results

Guttenfelder¹,

Battaglia²,

Белова³

et al. 2022

Nucl. Fusion

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“…Hu et al theoretically studied the radiation equivalent of RTI-Interface Discontinuous Acceleration phenomena under the incompressible limit of optically thin limit [49]. Ruiz obtained a theoretical model by asymptotically expanding an action principle, which leads to fully nonlinear magnetic Rayleigh-Taylor equations [50]. Jiang and Zhao investigated in a bounded domain of an inhomogeneous incompressible viscous fluid to study the existence of unstable classical solutions of the RT problem [51].…”

Section: Review Of the Current Statusmentioning

confidence: 99%

Plasma Waves and Rayleigh–Taylor Instability: Theory and Application

Singh¹,

Vidhani²,

Yogi³

et al. 2023

Plasma Science - Recent Advances, New Perspectives and Applications

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The presence of plasma density gradient is one of the main sources of Rayleigh–Taylor instability (RTI). The Rayleigh–Taylor instability has application in meteorology to explain cloud formations and in astrophysics to explain finger formation. It has wide applications in the inertial confinement fusion to determine the yield of the reaction. The aim of the chapter is to discuss the current status of the research related to RTI. The current research related to RTI has been reviewed, and general dispersion relation has been derived under the thermal motion of electron. The perturbed densities of ions and electrons are determined using two fluid approach under the small amplitude of oscillations. The dispersion equation is derived with the help of Poisson’s equation and solved numerically to investigate the effect of various parameters on the growth rate and real frequency. It has been shown that the real frequency increases with plasma density gradient, electron temperature and the wavenumber, but magnetic field has opposite effect on it. On the other hand, the growth rate of instability increases with magnetic field and density gradient, but it decreases with electron temperature and wave number.

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“…This occurs in the outer boundary of an imploding spherical capsule and in the inner boundary during the deceleration of the capsule onto a high-pressure fuel. In experiments leading up to integrated MagLIF, a major concern was whether the magneto Rayleigh-Taylor (MRT) [56][57][58][59][60][61] instability would preclude a sufficiently stable liner to assemble and inertially confine a thermonuclear fusion fuel. MRT arises when the magnetic field (which acts as the light fluid) accelerates the beryllium liner (heavy fluid) and, similar to traditional ICF, when the 'heavy' liner decelerates onto the 'light' magnetized fusion fuel.…”

Section: Instability Developmentmentioning

confidence: 99%

An overview of magneto-inertial fusion on the Z machine at Sandia National Laboratories

et al. 2022

Self Cite

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We present an overview of the magneto-inertial fusion (MIF) concept Magnetized Liner Inertial Fusion (MagLIF) pursued at Sandia National Laboratories and review some of the most prominent results since the initial experiments in 2013. In MagLIF, a centimeter-scale beryllium tube or ‘liner’ is filled with a fusion fuel, axially pre-magnetized, laser pre-heated, and finally imploded using up to 20 MA from the Z machine. All of these elements are necessary to generate a thermonuclear plasma: laser preheating raises the initial temperature of the fuel, the electrical current implodes the liner and quasi-adiabatically compresses the fuel via the Lorentz force, and the axial magnetic field limits thermal conduction from the hot plasma to the cold liner walls during the implosion. MagLIF is the first MIF concept to demonstrate fusion relevant temperatures, significant fusion production (>1013 primary DD neutron yield), and magnetic trapping of charged fusion particles. On a 60 MA next-generation pulsed-power machine, two-dimensional simulations suggest that MagLIF has the potential to generate multi-MJ yields with significant self-heating, a long-term goal of the US Stockpile Stewardship Program. At currents exceeding 65 MA, the high gains required for fusion energy could be achievable.

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On a variational formulation of the weakly nonlinear magnetic Rayleigh–Taylor instability

Cited by 10 publications

References 72 publications

NSTX-U theory, modeling and analysis results

NSTX-U theory, modeling and analysis results

Plasma Waves and Rayleigh–Taylor Instability: Theory and Application

An overview of magneto-inertial fusion on the Z machine at Sandia National Laboratories

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