Analytical and numerical study of the transverse Kelvin–Helmholtz instability in tokamak edge plasmas
Abstract
Sheared flows perpendicular to the magnetic field can be driven by the Reynolds stress or ion pressure gradient effects and can potentially influence the stability and turbulent saturation level of edge plasma modes. On the other hand, such flows are subject to the transverse Kelvin–Helmholtz (KH) instability. Here, the linear theory of KH instabilities is first addressed with an analytic model in the asymptotic limit of long wavelengths compared with the flow scale length. The analytic model treats sheared $$\boldsymbol{E}\times \boldsymbol{B}$$ flows, ion diamagnetism (including gyroviscous terms), density gradients and parallel currents in a slab geometry, enabling a unified summary that encompasses and extends previous results. In particular, while ion diamagnetism, density gradients and parallel currents each individually reduce KH growth rates, the combined effect of density and ion pressure gradients is more complicated and partially counteracting. Secondly, the important role of realistic toroidal geometry is explored numerically using an invariant scaling analysis together with the 2DX eigenvalue code to examine KH modes in both closed and open field line regions. For a typical spherical torus magnetic geometry, it is found that KH modes are more unstable at, and just outside of, the separatrix as a result of the distribution of magnetic shear. Finally implications for reduced edge turbulence modelling codes are discussed.
 Authors:

 Lodestar Research Corporation, Boulder, CO (United States)
 Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
 Publication Date:
 Research Org.:
 Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States); Lodestar Research Corp., Boulder, CO (United States)
 Sponsoring Org.:
 USDOE National Nuclear Security Administration (NNSA); USDOE Office of Science (SC), Fusion Energy Sciences (FES) (SC24)
 Contributing Org.:
 Lodestar Research Corporation Lawrence Livermore National Lab.
 OSTI Identifier:
 1463839
 Alternate Identifier(s):
 OSTI ID: 1248339
 Report Number(s):
 LLNLJRNL737835; LRC16164
Journal ID: ISSN 00223778; applab; 890878; TRN: US1902332
 Grant/Contract Number:
 AC5207NA27344; FG0297ER54392
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Journal of Plasma Physics
 Additional Journal Information:
 Journal Volume: 82; Journal Issue: 02; Journal ID: ISSN 00223778
 Publisher:
 Cambridge University Press
 Country of Publication:
 United States
 Language:
 English
 Subject:
 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; plasma instabilities; KelvinHelmholtz; spherical torus
Citation Formats
Myra, J. R., D’Ippolito, D. A., Russell, D. A., Umansky, M. V., and Baver, D. A. Analytical and numerical study of the transverse Kelvin–Helmholtz instability in tokamak edge plasmas. United States: N. p., 2016.
Web. doi:10.1017/S0022377816000301.
Myra, J. R., D’Ippolito, D. A., Russell, D. A., Umansky, M. V., & Baver, D. A. Analytical and numerical study of the transverse Kelvin–Helmholtz instability in tokamak edge plasmas. United States. doi:10.1017/S0022377816000301.
Myra, J. R., D’Ippolito, D. A., Russell, D. A., Umansky, M. V., and Baver, D. A. Mon .
"Analytical and numerical study of the transverse Kelvin–Helmholtz instability in tokamak edge plasmas". United States. doi:10.1017/S0022377816000301. https://www.osti.gov/servlets/purl/1463839.
@article{osti_1463839,
title = {Analytical and numerical study of the transverse Kelvin–Helmholtz instability in tokamak edge plasmas},
author = {Myra, J. R. and D’Ippolito, D. A. and Russell, D. A. and Umansky, M. V. and Baver, D. A.},
abstractNote = {Sheared flows perpendicular to the magnetic field can be driven by the Reynolds stress or ion pressure gradient effects and can potentially influence the stability and turbulent saturation level of edge plasma modes. On the other hand, such flows are subject to the transverse Kelvin–Helmholtz (KH) instability. Here, the linear theory of KH instabilities is first addressed with an analytic model in the asymptotic limit of long wavelengths compared with the flow scale length. The analytic model treats sheared $\boldsymbol{E}\times \boldsymbol{B}$ flows, ion diamagnetism (including gyroviscous terms), density gradients and parallel currents in a slab geometry, enabling a unified summary that encompasses and extends previous results. In particular, while ion diamagnetism, density gradients and parallel currents each individually reduce KH growth rates, the combined effect of density and ion pressure gradients is more complicated and partially counteracting. Secondly, the important role of realistic toroidal geometry is explored numerically using an invariant scaling analysis together with the 2DX eigenvalue code to examine KH modes in both closed and open field line regions. For a typical spherical torus magnetic geometry, it is found that KH modes are more unstable at, and just outside of, the separatrix as a result of the distribution of magnetic shear. Finally implications for reduced edge turbulence modelling codes are discussed.},
doi = {10.1017/S0022377816000301},
journal = {Journal of Plasma Physics},
number = 02,
volume = 82,
place = {United States},
year = {2016},
month = {4}
}
Web of Science
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Works referencing / citing this record:
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