Theoretical analysis of the saturation phase of the 1/1 energetic-ion-driven resistive interchange mode
Abstract
The aim of the present study is to analyze the saturation regime of the energetic-ion-driven resistive interchange mode (EIC) in the LHD plasma. In this work, a set of nonlinear simulations are performed by the FAR3d code that uses a reduced MHD model for the thermal plasma coupled with a gyrofluid model for the energetic particle (EP) species. The hellically trapped EP component is introduced through a modification of the averaged drift velocity operator to include their precessional drift. The nonlinear simulation results show similar 1/1 EIC saturation phases with respect to the experimental observations, reproducing the enhancement of the n/m = 1/1 resistive interchange modes (RIC) amplitude and width as the EP β increases, the EP β threshold for the 1/1 EIC excitation, the further destabilization of the 1/1 EIC as the population of the helically trapped EP increases and the triggering of burst events. The frequency of the 1/1 EIC calculated during the burst event is 9.4 kHz and the 2/2 and 3/3 overtones are destabilized, consistent with the frequency range and the complex mode structure measured in the experiment. In addition, the simulation shows the inward propagation of the 1/1 EIC due to the nonlinear destabilization ofmore »
- Authors:
-
[1];
[2];
[3];
[2]
- Universidad Carlos III de Madrid (Spain); National Institute of Natural Science, Toki (Japan); Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
- Universidad Carlos III de Madrid (Spain)
- National Institute of Natural Science, Toki (Japan)
- Publication Date:
- Research Org.:
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1847501
- Grant/Contract Number:
- AC05-00OR22725
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Nuclear Fusion
- Additional Journal Information:
- Journal Volume: 61; Journal Issue: 12; Journal ID: ISSN 0029-5515
- Publisher:
- IOP Science
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; MHD; AE; stability; EIC; non linear; optimization; LHD
Citation Formats
Varela, Jacobo, Spong, Donald A., Garcia, Luis, Ohdachi, S., Watanabe, K. Y., Seki, Ryosuke, and Ghai, Yashika. Theoretical analysis of the saturation phase of the 1/1 energetic-ion-driven resistive interchange mode. United States: N. p., 2021.
Web. doi:10.1088/1741-4326/ac26a0.
Varela, Jacobo, Spong, Donald A., Garcia, Luis, Ohdachi, S., Watanabe, K. Y., Seki, Ryosuke, & Ghai, Yashika. Theoretical analysis of the saturation phase of the 1/1 energetic-ion-driven resistive interchange mode. United States. https://doi.org/10.1088/1741-4326/ac26a0
Varela, Jacobo, Spong, Donald A., Garcia, Luis, Ohdachi, S., Watanabe, K. Y., Seki, Ryosuke, and Ghai, Yashika. Fri .
"Theoretical analysis of the saturation phase of the 1/1 energetic-ion-driven resistive interchange mode". United States. https://doi.org/10.1088/1741-4326/ac26a0. https://www.osti.gov/servlets/purl/1847501.
@article{osti_1847501,
title = {Theoretical analysis of the saturation phase of the 1/1 energetic-ion-driven resistive interchange mode},
author = {Varela, Jacobo and Spong, Donald A. and Garcia, Luis and Ohdachi, S. and Watanabe, K. Y. and Seki, Ryosuke and Ghai, Yashika},
abstractNote = {The aim of the present study is to analyze the saturation regime of the energetic-ion-driven resistive interchange mode (EIC) in the LHD plasma. In this work, a set of nonlinear simulations are performed by the FAR3d code that uses a reduced MHD model for the thermal plasma coupled with a gyrofluid model for the energetic particle (EP) species. The hellically trapped EP component is introduced through a modification of the averaged drift velocity operator to include their precessional drift. The nonlinear simulation results show similar 1/1 EIC saturation phases with respect to the experimental observations, reproducing the enhancement of the n/m = 1/1 resistive interchange modes (RIC) amplitude and width as the EP β increases, the EP β threshold for the 1/1 EIC excitation, the further destabilization of the 1/1 EIC as the population of the helically trapped EP increases and the triggering of burst events. The frequency of the 1/1 EIC calculated during the burst event is 9.4 kHz and the 2/2 and 3/3 overtones are destabilized, consistent with the frequency range and the complex mode structure measured in the experiment. In addition, the simulation shows the inward propagation of the 1/1 EIC due to the nonlinear destabilization of the 3/4 and 2/3 energetic particle modes, leading to the partial overlapping between resonances during the burst event. Finally, the analysis of the 1/1 EIC stabilization phase shows the excitation of the 1/1 RIC as soon as the flattening induced by the 1/1 EIC in the pressure profile vanishes, leading to the retrieval of the pressure gradient at the plasma periphery and the overcoming of the RIC stability limit.},
doi = {10.1088/1741-4326/ac26a0},
journal = {Nuclear Fusion},
number = 12,
volume = 61,
place = {United States},
year = {Fri Oct 22 00:00:00 EDT 2021},
month = {Fri Oct 22 00:00:00 EDT 2021}
}
Free Publicly Available Full Text
Publisher's Version of Record
Other availability
Search WorldCat to find libraries that may hold this journal
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
Effect of pressure-driven MHD instabilities on confinement in reactor-relevant high-beta helical plasmas
journal, May 2011
- Watanabe, K. Y.; Masamune, S.; Takemura, Y.
- Physics of Plasmas, Vol. 18, Issue 5
Fast ion profile stiffness due to the resonance overlap of multiple Alfvén eigenmodes
journal, July 2016
- Todo, Y.; Van Zeeland, M. A.; Heidbrink, W. W.
- Nuclear Fusion, Vol. 56, Issue 11
Alpha‐Alfvén local dispersion relation and solutions
journal, December 1992
- Hedrick, C. L.; Leboeuf, J. ‐N.; Spong, D. A.
- Physics of Fluids B: Plasma Physics, Vol. 4, Issue 12
Analysis of the MHD stability and energetic particles effects on EIC events in LHD plasma using a Landau-closure model
journal, February 2019
- Varela, J.; Spong, D. A.; Garcia, L.
- Nuclear Fusion, Vol. 59, Issue 4
Nonlinear evolution of the toroidal Alfvén instability using a gyrofluid model*
journal, May 1994
- Spong, D. A.; Carreras, B. A.; Hedrick, C. L.
- Physics of Plasmas, Vol. 1, Issue 5
Monte Carlo Study Based on a Real Coordinate System for Tangentially Injected High-Energy Particles in the Large Helical Device
journal, January 2010
- Seki, Ryosuke; Matsumoto, Yutaka; Suzuki, Yasuhiro
- Plasma and Fusion Research, Vol. 5
MHD study of the reactor-relevant high-beta regime in the Large Helical Device
journal, November 2008
- Sakakibara, S.; Watanabe, K. Y.; Suzuki, Y.
- Plasma Physics and Controlled Fusion, Vol. 50, Issue 12
Magnetic turbulence and pressure gradient feedback effect of the 1/2 mode soft-hard magnetohydrodynamic limit in large helical device
journal, September 2014
- Varela, J.; Watanabe, K. Y.; Ohdachi, S.
- Physics of Plasmas, Vol. 21, Issue 9
Fishbone activity in JET
journal, April 1991
- Nave, M. F. F.; Campbell, D. J.; Joffrin, E.
- Nuclear Fusion, Vol. 31, Issue 4
Low‐ n stability calculations for three‐dimensional stellarator configurations
journal, September 1990
- Garcia, L.; Carreras, B. A.; Dominguez, N.
- Physics of Fluids B: Plasma Physics, Vol. 2, Issue 9
Theoretical analysis of energetic-ion-driven resistive interchange mode stabilization strategies using a Landau closure model
journal, February 2020
- Varela, J.; Ohdachi, S.; Watanabe, K. Y.
- Nuclear Fusion, Vol. 60, Issue 4
Kinetic theory of low-frequency Alfvén modes in tokamaks
journal, November 1996
- Zonca, Fulvio; Chen, Liu; Santoro, Robert A.
- Plasma Physics and Controlled Fusion, Vol. 38, Issue 11
Choi et al. Reply:
journal, May 2017
- Choi, Jin-Ho; Cui, Ping; Lan, Haiping
- Physical Review Letters, Vol. 118, Issue 20
Analysis of Alfvén eigenmode destabilization by energetic particles in Large Helical Device using a Landau-closure model
journal, March 2017
- Varela, J.; Spong, D. A.; Garcia, L.
- Nuclear Fusion, Vol. 57, Issue 4
Study of Alfven eigenmodes stability in plasma with multiple NBI driven energetic particle species
journal, June 2019
- Varela, J.; Spong, D. A.; Garcia, L.
- Physics of Plasmas, Vol. 26, Issue 6
Excitation of helically-trapped-energetic-ion driven resistive interchange modes with intense deuterium beam injection and enhanced effect on beam ions/bulk plasmas of LHD
journal, June 2018
- Bando, T.; Ohdachi, S.; Isobe, M.
- Nuclear Fusion, Vol. 58, Issue 8
Numerical calculations using the full MHD equations in toroidal geometry
journal, March 1986
- Charlton, L. A.; Holmes, J. A.; Hicks, H. R.
- Journal of Computational Physics, Vol. 63, Issue 1
Heat and momentum transport of ion internal transport barrier plasmas on the Large Helical Device
journal, July 2011
- Nagaoka, K.; Ida, K.; Yoshinuma, M.
- Nuclear Fusion, Vol. 51, Issue 8
Steepest-descent moment method for three-dimensional magnetohydrodynamic equilibria
journal, January 1983
- Hirshman, S. P.
- Physics of Fluids, Vol. 26, Issue 12
Monte-Carlo Study Based on Real Coordinates for Perpendicularly Injected High-Energy Ions in the LHD High-Beta Plasma
journal, January 2010
- Seki, Ryosuke; Matsumoto, Yutaka; Suzuki, Yasuhiro
- Plasma and Fusion Research, Vol. 5
Establishment of magnetic coordinates for a given magnetic field
journal, January 1982
- Boozer, Allen H.
- Physics of Fluids, Vol. 25, Issue 3
Characteristics of tongue-shaped deformations in hydrogen and deuterium plasmas in the Large Helical Device
journal, September 2019
- Voermans, S.; Ida, K.; Kobayashi, T.
- Nuclear Fusion, Vol. 59, Issue 10
Characteristics of magnetic island formation due to resistive interchange instability in helical plasma
journal, May 2014
- Ueda, R.; Watanabe, K. Y.; Matsumoto, Y.
- Physics of Plasmas, Vol. 21, Issue 5
Gyrokinetic particle simulations of reversed shear Alfvén eigenmode excited by antenna and fast ions
journal, November 2010
- Deng, Wenjun; Lin, Zhihong; Holod, Ihor
- Physics of Plasmas, Vol. 17, Issue 11
Internal disruptions and sawtooth like activity in Large Helical Device
journal, August 2012
- Varela, J.; Garcia, L.; Ohdachi, S.
- Physics of Plasmas, Vol. 19, Issue 8
Long-Term Landau-Fluid Simulation of Alfvén Eigenmode Instabilities
journal, January 2014
- Spong, Donald A.
- Plasma and Fusion Research, Vol. 9, Issue 0
Effect of the tangential NBI current drive on the stability of pressure and energetic particle driven MHD modes in LHD plasma
journal, January 2020
- Varela, J.; Cooper, W. A.; Nagaoka, K.
- Nuclear Fusion, Vol. 60, Issue 2
Analysis of Alfven eigenmodes destabilization by energetic particles in TJ-II using a Landau-closure model
journal, September 2017
- Varela, J.; Spong, D. A.; Garcia, L.
- Nuclear Fusion, Vol. 57, Issue 12
The internal disruption as hard Magnetohydrodynamic limit of 1/2 sawtooth like activity in large helical device
journal, August 2012
- Varela, J.; Watanabe, K. Y.; Ohdachi, S.
- Physics of Plasmas, Vol. 19, Issue 8
Compressible linear and nonlinear resistive MHD calculations in toroidal geometry
journal, February 1990
- Charlton, L. A.; Holmes, J. A.; Lynch, V. E.
- Journal of Computational Physics, Vol. 86, Issue 2
Identification of the energetic-particle driven GAM in the LHD
journal, July 2015
- Ido, T.; Osakabe, M.; Shimizu, A.
- Nuclear Fusion, Vol. 55, Issue 8
Hard magnetohydrodynamic limit in 1/3 sawtooth like activity in LHD
journal, March 2014
- Varela, J.; Watanabe, K. Y.; Ohdachi, S.
- Physics of Plasmas, Vol. 21, Issue 3
Simulation of Alfvén frequency cascade modes in reversed shear-discharges using a Landau-closure model
journal, April 2013
- Spong, D. A.
- Nuclear Fusion, Vol. 53, Issue 5