Verification and application of resonance broadened quasilinear (RBQ) model with multiple Alfvénic instabilities
Abstract
The resonance broadened quasilinear (RBQ) model for the problem of relaxing the hot ion distribution function in constantofmotion 3D space [Gorelenkov et al., Nucl. Fusion 58, 082016 (2018)] is presented with the selfconsistent evolution of multiple Alfvén eigenmode amplitudes. The RBQ model represents the generalization of the earlier published model [Berk et al., Nucl. Fusion 35, 1661 (1995)] by carefully examining the wave particle interaction in the presence of realistic Alfvén eigenmode (AE) structures and pitch angle scattering with the help of the guiding center code ORBIT. One aspect of the generalization is that the RBQ model goes beyond the local perturbativependulumlike approximation for the wave particle dynamics near the resonance. An iterative procedure is introduced to account for eigenstructures varying within the resonances. It is found that a radially localized mode structure implies a saturation level 2–3 times smaller than that predicted by an earlier bumpontail quasilinear model that employed uniform mode structures. We apply the RBQ code to a DIIID plasma with an elevated qprofile where the beam ion profiles exhibit stiff transport properties [Collins et al., Phys. Rev. Lett. 116, 095001 (2016)]. Finally, the properties of AE driven fast ion distribution relaxation are studied for validations ofmore »
 Authors:

 Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
 General Atomics, San Diego, CA (United States)
 Publication Date:
 Research Org.:
 Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
 Sponsoring Org.:
 USDOE
 OSTI Identifier:
 1557588
 Alternate Identifier(s):
 OSTI ID: 1545413
 Grant/Contract Number:
 AC0209CH11466; FC0204ER54698
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Physics of Plasmas
 Additional Journal Information:
 Journal Volume: 26; Journal Issue: 7; Journal ID: ISSN 1070664X
 Publisher:
 American Institute of Physics (AIP)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 70 PLASMA PHYSICS AND FUSION TECHNOLOGY
Citation Formats
Gorelenkov, N. N., Duarte, V. N., Collins, C. S., Podestà, M., and White, R. B. Verification and application of resonance broadened quasilinear (RBQ) model with multiple Alfvénic instabilities. United States: N. p., 2019.
Web. doi:10.1063/1.5087252.
Gorelenkov, N. N., Duarte, V. N., Collins, C. S., Podestà, M., & White, R. B. Verification and application of resonance broadened quasilinear (RBQ) model with multiple Alfvénic instabilities. United States. https://doi.org/10.1063/1.5087252
Gorelenkov, N. N., Duarte, V. N., Collins, C. S., Podestà, M., and White, R. B. Mon .
"Verification and application of resonance broadened quasilinear (RBQ) model with multiple Alfvénic instabilities". United States. https://doi.org/10.1063/1.5087252. https://www.osti.gov/servlets/purl/1557588.
@article{osti_1557588,
title = {Verification and application of resonance broadened quasilinear (RBQ) model with multiple Alfvénic instabilities},
author = {Gorelenkov, N. N. and Duarte, V. N. and Collins, C. S. and Podestà, M. and White, R. B.},
abstractNote = {The resonance broadened quasilinear (RBQ) model for the problem of relaxing the hot ion distribution function in constantofmotion 3D space [Gorelenkov et al., Nucl. Fusion 58, 082016 (2018)] is presented with the selfconsistent evolution of multiple Alfvén eigenmode amplitudes. The RBQ model represents the generalization of the earlier published model [Berk et al., Nucl. Fusion 35, 1661 (1995)] by carefully examining the wave particle interaction in the presence of realistic Alfvén eigenmode (AE) structures and pitch angle scattering with the help of the guiding center code ORBIT. One aspect of the generalization is that the RBQ model goes beyond the local perturbativependulumlike approximation for the wave particle dynamics near the resonance. An iterative procedure is introduced to account for eigenstructures varying within the resonances. It is found that a radially localized mode structure implies a saturation level 2–3 times smaller than that predicted by an earlier bumpontail quasilinear model that employed uniform mode structures. We apply the RBQ code to a DIIID plasma with an elevated qprofile where the beam ion profiles exhibit stiff transport properties [Collins et al., Phys. Rev. Lett. 116, 095001 (2016)]. Finally, the properties of AE driven fast ion distribution relaxation are studied for validations of the applied RBQ model in DIIID discharges. Initial results show that the model is robust, is numerically efficient, and can predict fast ion relaxation in present and future burning plasma experiments.},
doi = {10.1063/1.5087252},
journal = {Physics of Plasmas},
number = 7,
volume = 26,
place = {United States},
year = {2019},
month = {7}
}
Web of Science
Figures / Tables:
Works referenced in this record:
Physics of Alfvén waves and energetic particles in burning plasmas
journal, March 2016
 Chen, Liu; Zonca, Fulvio
 Reviews of Modern Physics, Vol. 88, Issue 1
Resonances between high energy particles and ideal magnetohydrodynamic modes in tokamaks
journal, October 2018
 White, R. B.; Gorelenkov, N. N.; Duarte, V. N.
 Physics of Plasmas, Vol. 25, Issue 10
Fastion energy loss during TAE avalanches in the National Spherical Torus Experiment
journal, December 2012
 Fredrickson, E. D.; Crocker, N. A.; Darrow, D. S.
 Nuclear Fusion, Vol. 53, Issue 1
Beam anisotropy effect on Alfvén eigenmode stability in ITERlike plasmas
journal, March 2005
 Gorelenkov, N. N.; Berk, H. L.; Budny, R. V.
 Nuclear Fusion, Vol. 45, Issue 4
Collisional enhancement of energetic particle Alfvénic resonance width in tokamaks
journal, March 2019
 White, R. B.; Duarte, V. N.; Gorelenkov, N. N.
 Physics of Plasmas, Vol. 26, Issue 3
A reduced fast ion transport model for the tokamak transport code TRANSP
journal, April 2014
 Podestà, M.; Gorelenkova, M.; White, R. B.
 Plasma Physics and Controlled Fusion, Vol. 56, Issue 5
Fastion transport by Alfvén eigenmodes above a critical gradient threshold
journal, May 2017
 Heidbrink, W. W.; Collins, C. S.; Podestà, M.
 Physics of Plasmas, Vol. 24, Issue 5
Reformulation of quasilinear theory
journal, August 1972
 Kaufman, Allan N.
 Journal of Plasma Physics, Vol. 8, Issue 1
Verification and validation of integrated simulation of energetic particles in fusion plasmas
journal, April 2019
 Taimourzadeh, S.; Bass, E. M.; Chen, Y.
 Nuclear Fusion, Vol. 59, Issue 6
Spontaneous hole–clump pair creation
journal, August 1999
 Berk, H. L.; Breizman, B. N.; Candy, J.
 Physics of Plasmas, Vol. 6, Issue 8
Prediction of the fusion alpha density profile in ITER from local marginal stability to Alfvén eigenmodes
journal, October 2014
 Waltz, R. E.; Bass, E. M.
 Nuclear Fusion, Vol. 54, Issue 10
Quasilinear Diffusion of an Axisymmetric Toroidal Plasma
journal, January 1972
 Kaufman, Allan N.
 Physics of Fluids, Vol. 15, Issue 6
Resonance broadened quasilinear (RBQ) model for fast ion distribution relaxation due to Alfvénic eigenmodes
journal, June 2018
 Gorelenkov, N. N.; Duarte, V. N.; Podesta, M.
 Nuclear Fusion, Vol. 58, Issue 8
A Perturbation Theory for Strong Plasma Turbulence
journal, January 1966
 Dupree, T. H.
 Physics of Fluids, Vol. 9, Issue 9
Saturation of single toroidal number Alfvén modes
journal, August 2016
 Wang, X.; Briguglio, S.
 New Journal of Physics, Vol. 18, Issue 8
The tokamak Monte Carlo fast ion module NUBEAM in the National Transport Code Collaboration library
journal, June 2004
 Pankin, Alexei; McCune, Douglas; Andre, Robert
 Computer Physics Communications, Vol. 159, Issue 3
Theory and observation of the onset of nonlinear structures due to eigenmode destabilization by fast ions in tokamaks
journal, December 2017
 Duarte, V. N.; Berk, H. L.; Gorelenkov, N. N.
 Physics of Plasmas, Vol. 24, Issue 12
Comparing the line broadened quasilinear model to Vlasov code
journal, March 2014
 Ghantous, K.; Berk, H. L.; Gorelenkov, N. N.
 Physics of Plasmas, Vol. 21, Issue 3
Destruction of magnetic surfaces by magnetic field irregularities
journal, December 1966
 Rosenbluth, M. N.; Sagdeev, R. Z.; Taylor, J. B.
 Nuclear Fusion, Vol. 6, Issue 4
Resonance frequency broadening of waveparticle interaction in tokamaks due to Alfvénic eigenmode
journal, June 2018
 Meng, G.; Gorelenkov, N. N.; Duarte, V. N.
 Nuclear Fusion, Vol. 58, Issue 8
Energetic particle physics in fusion research in preparation for burning plasma experiments
journal, November 2014
 Gorelenkov, N. N.; Pinches, S. D.; Toi, K.
 Nuclear Fusion, Vol. 54, Issue 12
Effects of energetic particle phase space modifications by instabilities on integrated modeling
journal, July 2016
 Podestà, M.; Gorelenkova, M.; Fredrickson, E. D.
 Nuclear Fusion, Vol. 56, Issue 11
Validating predictive models for fast ion profile relaxation in burning plasmas
journal, July 2016
 Gorelenkov, N. N.; Heidbrink, W. W.; Kramer, G. J.
 Nuclear Fusion, Vol. 56, Issue 11
Works referencing / citing this record:
Collisional resonance function in discreteresonance quasilinear plasma systems
journal, December 2019
 Duarte, V. N.; Gorelenkov, N. N.; White, R. B.
 Physics of Plasmas, Vol. 26, Issue 12
Reduced energetic particle transport models enable comprehensive timedependent tokamak simulations
journal, August 2019
 Podestà, M.; Bardóczi, L.; Collins, C. S.
 Nuclear Fusion, Vol. 59, Issue 10