Modeling of 3D magnetic equilibrium effects on edge turbulence stability during RMP ELM suppression in tokamaks
Abstract
Some recent experimental observations have found turbulent fluctuation structures that are non-axisymmetric in a tokamak with applied 3D fields. Here, two fluid resistive effects are shown to produce changes relevant to turbulent transport in the modeled 3D magnetohydrodynamic (MHD) equilibrium of tokamak pedestals with these 3D fields applied. Ideal MHD models are insufficient to reproduce the relevant effects. By calculating the ideal 3D equilibrium using the VMEC code, the geometric shaping parameters that determine linear turbulence stability, including the normal curvature and local magnetic shear, are shown to be only weakly modified by applied 3D fields in the DIII-D tokamak. These ideal MHD effects are therefore not sufficient to explain the observed changes to fluctuations and transport. Using the M3D-C1 code to model the 3D equilibrium, density is shown to be redistributed on flux surfaces in the pedestal when resistive two fluid effects are included, while islands are screened by rotation in this region. Furthermore, the redistribution of density results in density and pressure gradient scale lengths that vary within pedestal flux surfaces between different helically localized flux tubes. This would produce different drive terms for trapped electron mode and kinetic ballooning mode turbulence, the latter of which is expectedmore »
- Authors:
-
[1];
[1];
[1]
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
- Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
- General Atomics, San Diego, CA (United States)
- Publication Date:
- Research Org.:
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States); General Atomics, San Diego, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Fusion Energy Sciences (FES)
- OSTI Identifier:
- 1376604
- Alternate Identifier(s):
- OSTI ID: 1374600
- Grant/Contract Number:
- AC05-00OR22725; AC02-09CH11466; FC02-04ER54698
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Nuclear Fusion
- Additional Journal Information:
- Journal Volume: 57; Journal Issue: 11; Journal ID: ISSN 0029-5515
- Publisher:
- IOP Science
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; RMP; equilibrium; turbulence
Citation Formats
Wilcox, R. S., Wingen, A., Cianciosa, M. R., Ferraro, N. M., Hirshman, S. P., Paz-Soldan, C., Seal, S. K., Shafer, M. W., and Unterberg, E. A. Modeling of 3D magnetic equilibrium effects on edge turbulence stability during RMP ELM suppression in tokamaks. United States: N. p., 2017.
Web. doi:10.1088/1741-4326/aa7bad.
Wilcox, R. S., Wingen, A., Cianciosa, M. R., Ferraro, N. M., Hirshman, S. P., Paz-Soldan, C., Seal, S. K., Shafer, M. W., & Unterberg, E. A. Modeling of 3D magnetic equilibrium effects on edge turbulence stability during RMP ELM suppression in tokamaks. United States. https://doi.org/10.1088/1741-4326/aa7bad
Wilcox, R. S., Wingen, A., Cianciosa, M. R., Ferraro, N. M., Hirshman, S. P., Paz-Soldan, C., Seal, S. K., Shafer, M. W., and Unterberg, E. A. Fri .
"Modeling of 3D magnetic equilibrium effects on edge turbulence stability during RMP ELM suppression in tokamaks". United States. https://doi.org/10.1088/1741-4326/aa7bad. https://www.osti.gov/servlets/purl/1376604.
@article{osti_1376604,
title = {Modeling of 3D magnetic equilibrium effects on edge turbulence stability during RMP ELM suppression in tokamaks},
author = {Wilcox, R. S. and Wingen, A. and Cianciosa, M. R. and Ferraro, N. M. and Hirshman, S. P. and Paz-Soldan, C. and Seal, S. K. and Shafer, M. W. and Unterberg, E. A.},
abstractNote = {Some recent experimental observations have found turbulent fluctuation structures that are non-axisymmetric in a tokamak with applied 3D fields. Here, two fluid resistive effects are shown to produce changes relevant to turbulent transport in the modeled 3D magnetohydrodynamic (MHD) equilibrium of tokamak pedestals with these 3D fields applied. Ideal MHD models are insufficient to reproduce the relevant effects. By calculating the ideal 3D equilibrium using the VMEC code, the geometric shaping parameters that determine linear turbulence stability, including the normal curvature and local magnetic shear, are shown to be only weakly modified by applied 3D fields in the DIII-D tokamak. These ideal MHD effects are therefore not sufficient to explain the observed changes to fluctuations and transport. Using the M3D-C1 code to model the 3D equilibrium, density is shown to be redistributed on flux surfaces in the pedestal when resistive two fluid effects are included, while islands are screened by rotation in this region. Furthermore, the redistribution of density results in density and pressure gradient scale lengths that vary within pedestal flux surfaces between different helically localized flux tubes. This would produce different drive terms for trapped electron mode and kinetic ballooning mode turbulence, the latter of which is expected to be the limiting factor for pedestal pressure gradients in DIII-D.},
doi = {10.1088/1741-4326/aa7bad},
journal = {Nuclear Fusion},
number = 11,
volume = 57,
place = {United States},
year = {Fri Jul 28 00:00:00 EDT 2017},
month = {Fri Jul 28 00:00:00 EDT 2017}
}
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Works referenced in this record:
Edge stability and transport control with resonant magnetic perturbations in collisionless tokamak plasmas
journal, May 2006
- Evans, Todd E.; Moyer, Richard A.; Burrell, Keith H.
- Nature Physics, Vol. 2, Issue 6
The EPED pedestal model and edge localized mode-suppressed regimes: Studies of quiescent H-mode and development of a model for edge localized mode suppression via resonant magnetic perturbations
journal, May 2012
- Snyder, P. B.; Osborne, T. H.; Burrell, K. H.
- Physics of Plasmas, Vol. 19, Issue 5
Decoupled recovery of energy and momentum with correction of n = 2 error fields
journal, July 2015
- Paz-Soldan, C.; Logan, N. C.; Lanctot, M. J.
- Nuclear Fusion, Vol. 55, Issue 8
Drift waves and transport
journal, April 1999
- Horton, W.
- Reviews of Modern Physics, Vol. 71, Issue 3
Increase of turbulence and transport with resonant magnetic perturbations in ELM-suppressed plasmas on DIII-D
journal, September 2013
- McKee, G. R.; Yan, Z.; Holland, C.
- Nuclear Fusion, Vol. 53, Issue 11
Three-dimensional free boundary calculations using a spectral Green's function method
journal, December 1986
- Hirshman, S. P.; van RIJ, W. I.; Merkel, P.
- Computer Physics Communications, Vol. 43, Issue 1
Experimental tests of linear and nonlinear three-dimensional equilibrium models in DIII-D
journal, July 2015
- King, J. D.; Strait, E. J.; Lazerson, S. A.
- Physics of Plasmas, Vol. 22, Issue 7
Calculations of two-fluid linear response to non-axisymmetric fields in tokamaks
journal, May 2012
- Ferraro, N. M.
- Physics of Plasmas, Vol. 19, Issue 5
Evidence of Toroidally Localized Turbulence with Applied 3D Fields in the DIII-D Tokamak
journal, September 2016
- Wilcox, R. S.; Shafer, M. W.; Ferraro, N. M.
- Physical Review Letters, Vol. 117, Issue 13
Connection between plasma response and resonant magnetic perturbation (RMP) edge localized mode (ELM) suppression in DIII-D
journal, September 2015
- Wingen, A.; Ferraro, N. M.; Shafer, M. W.
- Plasma Physics and Controlled Fusion, Vol. 57, Issue 10
Geometry dependence of stellarator turbulence
journal, November 2009
- Mynick, H. E.; Xanthopoulos, P.; Boozer, A. H.
- Physics of Plasmas, Vol. 16, Issue 11
Local Stability Analysis of Three-dimensional Magnetically Confined Plasmas
journal, January 1997
- Lewandowski, J. L. V.
- Australian Journal of Physics, Vol. 50, Issue 5
Visualization of magnetically confined plasmas
journal, July 1999
- Lewandowski, J. L. V.
- Computing and Visualization in Science, Vol. 1, Issue 4
Effects of E×B velocity shear and magnetic shear on turbulence and transport in magnetic confinement devices
journal, May 1997
- Burrell, K. H.
- Physics of Plasmas, Vol. 4, Issue 5
Dynamics of Zonal Flows in Helical Systems
journal, March 2005
- Sugama, H.; Watanabe, T. -H.
- Physical Review Letters, Vol. 94, Issue 11
Effect of resonant magnetic perturbations on microturbulence in DIII-D pedestal
journal, October 2016
- Holod, I.; Lin, Z.; Taimourzadeh, S.
- Nuclear Fusion, Vol. 57, Issue 1
Local three-dimensional magnetostatic equilibria
journal, January 2000
- Hegna, C. C.
- Physics of Plasmas, Vol. 7, Issue 10
Verification of the ideal magnetohydrodynamic response at rational surfaces in the VMEC code
journal, January 2016
- Lazerson, Samuel A.; Loizu, Joaquim; Hirshman, Steven
- Physics of Plasmas, Vol. 23, Issue 1
Role of singular layers in the plasma response to resonant magnetic perturbations
journal, July 2012
- Waelbroeck, F. L.; Joseph, I.; Nardon, E.
- Nuclear Fusion, Vol. 52, Issue 7
Development and validation of a predictive model for the pedestal height
journal, May 2009
- Snyder, P. B.; Groebner, R. J.; Leonard, A. W.
- Physics of Plasmas, Vol. 16, Issue 5
Magnetic-flutter-induced pedestal plasma transport
journal, September 2013
- Callen, J. D.; Hegna, C. C.; Cole, A. J.
- Nuclear Fusion, Vol. 53, Issue 11
Works referencing / citing this record:
Helical variation of density profiles and fluctuations in the tokamak pedestal with applied 3D fields and implications for confinement
journal, May 2018
- Wilcox, R. S.; Rhodes, T. L.; Shafer, M. W.
- Physics of Plasmas, Vol. 25, Issue 5
Predict-first experimental analysis using automated and integrated magnetohydrodynamic modeling
journal, May 2018
- Lyons, B. C.; Paz-Soldan, C.; Meneghini, O.
- Physics of Plasmas, Vol. 25, Issue 5
Effects of the applied magnetic fields with various toroidal phase differences on the neoclassical toroidal viscosity in JT-60SA
journal, October 2018
- Honda, M.; Satake, S.; Suzuki, Y.
- Nuclear Fusion, Vol. 58, Issue 11
L – H transition trigger physics in ITER-similar plasmas with applied n = 3 magnetic perturbations
journal, September 2019
- Schmitz, L.; Kriete, D. M.; Wilcox, R. S.
- Nuclear Fusion, Vol. 59, Issue 12