Studies of Turbulence and Flows in the DIII-D Tokamak

Studies of Turbulence and Flows in the DIII-D Tokamak
Title Studies of Turbulence and Flows in the DIII-D Tokamak PDF eBook
Author Jon Clark Hillesheim
Publisher
Pages 307
Release 2012
Genre
ISBN

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Understanding the turbulent transport of particles, momentum, and heat continues to be an important goal for magnetic confinement fusion energy research. The turbulence in tokamaks and other magnetic confinement devices is widely thought to arise due to linearly unstable gyroradius-scale modes. A long predicted characteristic of these linear instabilities is a critical gradient, where the modes are stable below a critical value related to the gradient providing free energy for the instability and unstable above it. In this dissertation, a critical gradient threshold for long wavelength ($k_{\theta} \rho_s \lesssim 0.4$) electron temperature fluctuations is reported, where the temperature fluctuations do not change, within uncertainties, below a threshold value in $L_{T_e}^{-1}=\nabla T_e / T_e$ and steadily increase above it. This principal result, the direct observation of a critical gradient for electron temperature fluctuations, is also the first observation of critical gradient behavior for \textit{any} locally measured turbulent quantity in the core of a high temperature plasma in a systematic experiment. The critical gradient was found to be $L_{T_e}^{-1}_{crit}=2.8 \pm 0.4 \ \mathrm{m}^{-1}$. The experimental value for the critical gradient quantitatively disagrees with analytical predictions for its value. In the experiment, the local value of $L_{T_e}^{-1}$ was systematically varied by changing the deposition location of electron cyclotron heating gyrotrons in the DIII-D tokamak. The temperature fluctuation measurements were acquired with a correlation electron cyclotron emission radiometer. The dimensionless parameter $\eta_e=L_{n_e}/L_{T_e}$ is found to describe both the temperature fluctuation threshold and a threshold observed in linear gyrofluid growth rate calculations over the measured wave numbers, where a rapid increase at $\eta_e \approx 2$ is observed in both. Doppler backscattering (DBS) measurements of intermediate-scale density fluctuations also show a frequency-localized increase on the electron diamagnetic side of the measured spectrum that increases with $L_{T_e}^{-1}$. Measurements of the crossphase angle between long wavelength electron density and temperature fluctuations, as well as measurements of long wavelength density fluctuation levels were also acquired. Multiple aspects of the fluctuation measurements and calculations are individually consistent with the attribution of the critical gradient to the $\nabla T_e$-driven trapped electron mode. The accumulated evidence strongly enforces this conclusion. The threshold value for the temperature fluctuation measurements was also within uncertainties of a critical gradient for the electron thermal diffusivity found through heat pulse analysis, above which the electron heat flux and electron temperature profile stiffness rapidly increased. Toroidal rotation was also systematically varied with neutral beam injection, which had little effect on the temperature fluctuation measurements. The crossphase measurements indicated the presence of different instabilities below the critical gradient depending on the neutral beam configuration, which is supported by linear gyrofluid calculations. In a second set of results reported in this dissertation, the geodesic acoustic mode is investigated in detail. Geodesic acoustic modes (GAMs) and zonal flows are nonlinearly driven, axisymmetric ($m=0,\ n=0$ potential) $E \times B$ flows, which are thought to play an important role in establishing the saturated level of turbulence in tokamaks. Zonal flows are linearly stable, but are driven to finite amplitude through nonlinear interaction with the turbulence. They are then thought to either shear apart the turbulent eddies or act as a catalyst to transfer energy to damped modes. Results are presented showing the GAM's observed spatial scales, temporal scales, and nonlinear interaction characteristics, which may have implications for the assumptions underpinning turbulence models towards the tokamak edge ($r/a \gtrsim 0.75$). Measurements in the DIII-D tokamak have been made with multichannel Doppler backscattering systems at toroidal locations separated by $180^{\circ}$; analysis reveals that the GAM is highly coherent between the toroidally separated systems ($\gamma> 0.8$) and that measurements are consistent with the expected $m=0,\ n=0$ structure. Observations show that the GAM in L-mode plasmas with $\sim 2.5-4.5$ MW auxiliary heating occurs as a radially coherent eigenmode, rather than as a continuum of frequencies as occurs in lower temperature discharges; this is consistent with theoretical expectations when finite ion Larmor radius effects are included. The intermittency of the GAM has been quantified, revealing that its autocorrelation time is fairly short, ranging from about 4 to about 15 GAM periods in cases examined, a difference that is accompanied by a modification to the probability distribution function of the $E \times B$ velocity at the GAM frequency. Conditionally-averaged bispectral analysis shows the strength of the nonlinear interaction of the GAM with broadband turbulence can vary with the magnitude of the GAM. Data also indicates a wave number dependence to the GAM's interaction with turbulence. Measurements also showed the existence of additional low frequency zonal flows (LFZF) at a few kilohertz in the core of DIII-D plasmas. These LFZF also correlated toroidally. The amplitude of both the GAM and LFZF were observed to depend on toroidal rotation, with both types of flows barely detectable in counter-injected plasmas. In a third set of results the development of diagnostic hardware, techniques used to acquire the above data, and related work is described. A novel multichannel Doppler backscattering system was developed. The five channel system operates in V-band (50-75 GHz) and has an array of 5 frequencies, separated by 350 MHz, which is tunable as a group. Laboratory tests of the hardware are presented. Doppler backscattering is a diagnostic technique for the radially localized measurement of intermediate-scale ($k_{\theta} \rho_s \sim 1$) density fluctuations and the laboratory frame propagation velocity of turbulent structures. Ray tracing, with experimental profiles and equilibria for inputs, is used to determine the scattering wave number and location. Full wave modeling, also with experimental inputs, is used for a synthetic Doppler backscattering diagnostic for nonlinear turbulence simulations. A number of non-ideal processes for DBS are also investigated; their impact on measurements in DIII-D are found, for the most part, to be small.

Signature of Turbulent Zonal Flows Observed in the DIII-D Tokamak

Signature of Turbulent Zonal Flows Observed in the DIII-D Tokamak
Title Signature of Turbulent Zonal Flows Observed in the DIII-D Tokamak PDF eBook
Author S. Coda
Publisher
Pages 14
Release 2000
Genre
ISBN

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The spectrum of turbulent density fluctuations at long poloidal wavelengths in the edge plasma of the DIII-D tokamak peaks at nonzero radial wave number. The associated electric-potential fluctuations cause sheared E x B flows primarily in the poloidal direction. These zonal flows have been predicted by theory and are believed to regulate the overall level of turbulence and anomalous transport. The quantitative features of the measured spectra are in good agreement with predictions.

Frontiers in Fusion Research II

Frontiers in Fusion Research II
Title Frontiers in Fusion Research II PDF eBook
Author Mitsuru Kikuchi
Publisher Springer
Pages 412
Release 2015-09-03
Genre Technology & Engineering
ISBN 3319189050

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This book reviews recent progress in our understanding of tokamak physics related to steady state operation, and addresses the scientific feasibility of a steady state tokamak fusion power system. It covers the physical principles behind continuous tokamak operation and details the challenges remaining and new lines of research towards the realization of such a system. Following a short introduction to tokamak physics and the fundamentals of steady state operation, later chapters cover parallel and perpendicular transport in tokamaks, MHD instabilities in advanced tokamak regimes, control issues, and SOL and divertor plasmas. A final chapter reviews key enabling technologies for steady state reactors, including negative ion source and NBI systems, Gyrotron and ECRF systems, superconductor and magnet systems, and structural materials for reactors. The tokamak has demonstrated an excellent plasma confinement capability with its symmetry, but has an intrinsic drawback with its pulsed operation with inductive operation. Efforts have been made over the last 20 years to realize steady state operation, most promisingly utilizing bootstrap current. Frontiers in Fusion Research II: Introduction to Modern Tokamak Physics will be of interest to graduate students and researchers involved in all aspects of tokamak science and technology.

New Ideas in Tokamak Confinement

New Ideas in Tokamak Confinement
Title New Ideas in Tokamak Confinement PDF eBook
Author Marshall N. Rosenbluth
Publisher Springer Science & Business Media
Pages 514
Release 1997-05-08
Genre Science
ISBN 9781563961311

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Market: Scientists and students involved in thermonuclear fusion research. Thermonuclear fusion research using the confinement device tokamak represents one of the most prominent science projects in the second half of the 20th century. International Tokamak Community is now committing significant effort and funds to experiments with burning plasma, hot and dense enough to produce significant nuclear fusion reactions. The methods used to enhance tokamak performance have a profound and immediate effect on machine design. This book provides an up-to-date account of research in tokamak fusion and puts forward innovative ideas in confinement physics.

Influence of Applied Magnetic Perturbations on Turbulence-flow Dynamics Across the L-H Transition in the DIII-D Tokamak

Influence of Applied Magnetic Perturbations on Turbulence-flow Dynamics Across the L-H Transition in the DIII-D Tokamak
Title Influence of Applied Magnetic Perturbations on Turbulence-flow Dynamics Across the L-H Transition in the DIII-D Tokamak PDF eBook
Author David Matthew Kriete
Publisher
Pages 131
Release 2020
Genre
ISBN

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Applying resonant magnetic perturbations (RMPs) to control edge localized modes in tokamak plasmas raises the L-H transition power threshold, potentially inhibiting H-mode access in next-step, reactor-scale tokamaks. Detailed 2D turbulence measurements on the DIII-D tokamak show how RMPs alter the turbulence-flow dynamics that are thought to trigger the L-H transition, thereby raising the power threshold. Long-wavelength density fluctuations are measured using the beam emission spectroscopy (BES) diagnostic. Velocimetry analysis is applied to images of these density fluctuations to infer the 2D turbulent flow field. Detailed tests of velocimetry analysis are performed using synthetic turbulence images and nonlinear gyrokinetic simulations to validate the technique and optimize it for DIII-D experimental parameters. The turbulence-flow measurements show that RMPs simultaneously raise the turbulence decorrelation rate and reduce the flow shear rate in the stationary L-mode state preceding the L-H transition, thereby disrupting the turbulence shear suppression mechanism. This implies significantly more transient turbulence suppression is needed to trigger the L-H transition, which requires more heating power. RMPs also reduce the Reynolds stress drive for poloidal flow, contributing to the reduction of the flow shear rate. On the fast, ~100 [mu]s timescale of the L-H transition, RMPs reduce Reynolds-stress-driven energy transfer from turbulence to flows by an order of magnitude, challenging the energy depletion theory for the L-H trigger mechanism. In contrast, non-resonant magnetic perturbations, which do not significantly affect the power threshold, do not affect the turbulence decorrelation rate and only slightly reduce the flow shear rate and Reynolds-stress-driven energy transfer.

Driven Rotation, Self-Generated Flow, and Momentum Transport in Tokamak Plasmas

Driven Rotation, Self-Generated Flow, and Momentum Transport in Tokamak Plasmas
Title Driven Rotation, Self-Generated Flow, and Momentum Transport in Tokamak Plasmas PDF eBook
Author John Rice
Publisher Springer Nature
Pages 158
Release 2022-01-13
Genre Science
ISBN 3030922669

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This book provides a comprehensive look at the state of the art of externally driven and self-generated rotation as well as momentum transport in tokamak plasmas. In addition to recent developments, the book includes a review of rotation measurement techniques, measurements of directly and indirectly driven rotation, momentum sinks, self-generated flow, and momentum transport. These results are presented alongside summaries of prevailing theory and are compared to predictions, bringing together both experimental and theoretical perspectives for a broad look at the field. Both researchers and graduate students in the field of plasma physics will find this book to be a useful reference. Although there is an emphasis on tokamaks, a number of the concepts are also relevant to other configurations.

The Plasma Boundary of Magnetic Fusion Devices

The Plasma Boundary of Magnetic Fusion Devices
Title The Plasma Boundary of Magnetic Fusion Devices PDF eBook
Author P.C Stangeby
Publisher CRC Press
Pages 738
Release 2000-01-01
Genre Science
ISBN 9780750305594

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The Plasma Boundary of Magnetic Fusion Devices introduces the physics of the plasma boundary region, including plasma-surface interactions, with an emphasis on those occurring in magnetically confined fusion plasmas. The book covers plasma-surface interaction, Debye sheaths, sputtering, scrape-off layers, plasma impurities, recycling and control, 1D and 2D fluid and kinetic modeling of particle transport, plasma properties at the edge, diverter and limiter physics, and control of the plasma boundary. Divided into three parts, the book begins with Part 1, an introduction to the plasma boundary. The derivations are heuristic and worked problems help crystallize physical intuition, which is emphasized throughout. Part 2 provides an introduction to methods of modeling the plasma edge region and for interpreting computer code results. Part 3 presents a collection of essays on currently active research hot topics. With an extensive bibliography and index, this book is an invaluable first port-of-call for researchers interested in plasma-surface interactions.