Alfvén eigenmode stability and critical gradient energetic particle transport using the Trapped-Gyro-Landau-Fluid model
Abstract
The Trapped-Gyro-Landau-Fluid (TGLF) transport model is a physically realistic and comprehensive theory based on a local quasilinear transport model fitted to linear and nonlinear GYRO gyrokinetic simulations [Staebler et al., Phys. Plasmas 14, 55909 (2007)]. This work presents the first use of the TGLF model to treat low-n Alfvén eigenmode (AE) stability and energetic particle (EP) transport. TGLF accurately recovers the local GYRO toroidicity-induced AE (TAE) and energetic particle mode (EPM) linear growth and frequency rates for a fusion alpha case. With a very high grid resolution, TGLF can quickly find the critical EP pressure gradient profile for stiff EP transport based on an AE linear threshold given the background thermal plasma profiles in DIII-D. The TGLF critical gradient profile using the recipe γAE=0, that is the linear AE growth rate without additional driving rates from the background plasma gradients, matches the more expensive linear GYRO results with a single worst toroidal mode number n. TGLF can easily find the minimum critical gradient profile with testing multiple ns. From a database of runs using a newly developed TGLFEP code, a rough but insightful parametric “power law” scaling for critical EP beta is demonstrated. An important toroidal stabilization condition on the EP pressure gradient pEP/L$$EP\atop{p}$$ drive is isolated: R/L$$EP\atop{p}$$ > CR ~ 3, where L$$EP\atop{p}$$ is the EP pressure gradient length and R is the tokamak major radius. This paper also demonstrates that relaxation of the fixed slowing down EP profile shape approximation often used to find the critical EP density profile has little effect on the resulting EP transport. The single EP species critical gradient model is generalized to handle two EP species.
- Authors:
-
- Peking Univ., Beijing (China). School of Physics, State Key Lab. of Nuclear Physics
- General Atomics, San Diego, CA (United States)
- Publication Date:
- Research Org.:
- General Atomics, San Diego, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Fusion Energy Sciences (FES)
- OSTI Identifier:
- 1474303
- Alternate Identifier(s):
- OSTI ID: 1367361
- Grant/Contract Number:
- FG02-95ER54309; FC02-08ER54977
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physics of Plasmas
- Additional Journal Information:
- Journal Volume: 24; Journal Issue: 7; Journal ID: ISSN 1070-664X
- Publisher:
- American Institute of Physics (AIP)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY
Citation Formats
Sheng, He, Waltz, R. E., and Staebler, G. M. Alfvén eigenmode stability and critical gradient energetic particle transport using the Trapped-Gyro-Landau-Fluid model. United States: N. p., 2017.
Web. doi:10.1063/1.4989716.
Sheng, He, Waltz, R. E., & Staebler, G. M. Alfvén eigenmode stability and critical gradient energetic particle transport using the Trapped-Gyro-Landau-Fluid model. United States. https://doi.org/10.1063/1.4989716
Sheng, He, Waltz, R. E., and Staebler, G. M. Thu .
"Alfvén eigenmode stability and critical gradient energetic particle transport using the Trapped-Gyro-Landau-Fluid model". United States. https://doi.org/10.1063/1.4989716. https://www.osti.gov/servlets/purl/1474303.
@article{osti_1474303,
title = {Alfvén eigenmode stability and critical gradient energetic particle transport using the Trapped-Gyro-Landau-Fluid model},
author = {Sheng, He and Waltz, R. E. and Staebler, G. M.},
abstractNote = {The Trapped-Gyro-Landau-Fluid (TGLF) transport model is a physically realistic and comprehensive theory based on a local quasilinear transport model fitted to linear and nonlinear GYRO gyrokinetic simulations [Staebler et al., Phys. Plasmas 14, 55909 (2007)]. This work presents the first use of the TGLF model to treat low-n Alfvén eigenmode (AE) stability and energetic particle (EP) transport. TGLF accurately recovers the local GYRO toroidicity-induced AE (TAE) and energetic particle mode (EPM) linear growth and frequency rates for a fusion alpha case. With a very high grid resolution, TGLF can quickly find the critical EP pressure gradient profile for stiff EP transport based on an AE linear threshold given the background thermal plasma profiles in DIII-D. The TGLF critical gradient profile using the recipe γAE=0, that is the linear AE growth rate without additional driving rates from the background plasma gradients, matches the more expensive linear GYRO results with a single worst toroidal mode number n. TGLF can easily find the minimum critical gradient profile with testing multiple ns. From a database of runs using a newly developed TGLFEP code, a rough but insightful parametric “power law” scaling for critical EP beta is demonstrated. An important toroidal stabilization condition on the EP pressure gradient pEP/L$EP\atop{p}$ drive is isolated: R/L$EP\atop{p}$ > CR ~ 3, where L$EP\atop{p}$ is the EP pressure gradient length and R is the tokamak major radius. This paper also demonstrates that relaxation of the fixed slowing down EP profile shape approximation often used to find the critical EP density profile has little effect on the resulting EP transport. The single EP species critical gradient model is generalized to handle two EP species.},
doi = {10.1063/1.4989716},
journal = {Physics of Plasmas},
number = 7,
volume = 24,
place = {United States},
year = {Thu Jun 29 00:00:00 EDT 2017},
month = {Thu Jun 29 00:00:00 EDT 2017}
}
Web of Science
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
Toroidal gyro‐Landau fluid model turbulence simulations in a nonlinear ballooning mode representation with radial modes
journal, July 1994
- Waltz, R. E.; Kerbel, G. D.; Milovich, J.
- Physics of Plasmas, Vol. 1, Issue 7
Quasilinear model for energetic particle diffusion in radial and velocity space
journal, April 2013
- Waltz, R. E.; Bass, E. M.; Staebler, G. M.
- Physics of Plasmas, Vol. 20, Issue 4
The behaviour of fast ions in tokamak experiments
journal, April 1994
- Heidbrink, W. W.; Sadler, G. J.
- Nuclear Fusion, Vol. 34, Issue 4
An Eulerian gyrokinetic-Maxwell solver
journal, April 2003
- Candy, J.; Waltz, R. E.
- Journal of Computational Physics, Vol. 186, Issue 2
Kinetic transport simulation of energetic particles
journal, April 2016
- Sheng, He; Waltz, R. E.
- Nuclear Fusion, Vol. 56, Issue 5
Gyrokinetic simulations of impurity, He ash and α particle transport and consequences on ITER transport modelling
journal, April 2009
- Angioni, C.; Peeters, A. G.; Pereverzev, G. V.
- Nuclear Fusion, Vol. 49, Issue 5
ITER predictions using the GYRO verified and experimentally validated trapped gyro-Landau fluid transport model
journal, June 2011
- Kinsey, J. E.; Staebler, G. M.; Candy, J.
- Nuclear Fusion, Vol. 51, Issue 8
Excitation of high‐ n toroidicity‐induced shear Alfvén eigenmodes by energetic particles and fusion alpha particles in tokamaks
journal, November 1992
- Fu, G. Y.; Cheng, C. Z.
- Physics of Fluids B: Plasma Physics, Vol. 4, Issue 11
Excitation of the toroidicity‐induced shear Alfvén eigenmode by fusion alpha particles in an ignited tokamak
journal, October 1989
- Fu, G. Y.; Van Dam, J. W.
- Physics of Fluids B: Plasma Physics, Vol. 1, Issue 10
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
Ion temperature gradient turbulence simulations and plasma flux surface shape
journal, November 1999
- Waltz, R. E.; Miller, R. L.
- Physics of Plasmas, Vol. 6, Issue 11
Gyrokinetic simulations of mesoscale energetic particle-driven Alfvénic turbulent transport embedded in microturbulence
journal, November 2010
- Bass, E. M.; Waltz, R. E.
- Physics of Plasmas, Vol. 17, Issue 11
Noncircular, finite aspect ratio, local equilibrium model
journal, April 1998
- Miller, R. L.; Chu, M. S.; Greene, J. M.
- Physics of Plasmas, Vol. 5, Issue 4
Chapter 5: Physics of energetic ions
journal, June 2007
- Fasoli, A.; Gormenzano, C.; Berk, H. L.
- Nuclear Fusion, Vol. 47, Issue 6
Gyrokinetic calculations of diffusive and convective transport of α particles with a slowing-down distribution function
journal, May 2008
- Angioni, C.; Peeters, A. G.
- Physics of Plasmas, Vol. 15, Issue 5
Development and validation of a critical gradient energetic particle driven Alfven eigenmode transport model for DIII-D tilted neutral beam experiments
journal, October 2015
- Waltz, R. E.; Bass, E. M.; Heidbrink, W. W.
- Nuclear Fusion, Vol. 55, Issue 12
A theory-based transport model with comprehensive physics
journal, May 2007
- Staebler, G. M.; Kinsey, J. E.; Waltz, R. E.
- Physics of Plasmas, Vol. 14, Issue 5
The effect of the fast-ion profile on Alfvén eigenmode stability
journal, August 2013
- Heidbrink, W. W.; Van Zeeland, M. A.; Austin, M. E.
- Nuclear Fusion, Vol. 53, Issue 9
Gyro-Landau fluid equations for trapped and passing particles
journal, October 2005
- Staebler, G. M.; Kinsey, J. E.; Waltz, R. E.
- Physics of Plasmas, Vol. 12, Issue 10
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
Works referencing / citing this record:
Transport barriers in bootstrap-driven tokamaks
journal, May 2018
- Staebler, G. M.; Garofalo, A. M.; Pan, C.
- Physics of Plasmas, Vol. 25, Issue 5
Integrated Tokamak modeling: When physics informs engineering and research planning
journal, May 2018
- Poli, Francesca Maria
- Physics of Plasmas, Vol. 25, Issue 5
Validation of Alfvén eigenmode simulations on DIII-D and projection for CFETR scenario
journal, April 2019
- Zou, Yunpeng; Chan, Vincent S.; Huang, Juan
- Nuclear Fusion, Vol. 59, Issue 6
A measure of fast ion beta at marginal stability in the reversed field pinch
journal, June 2019
- Capecchi, W.; Anderson, J. K.; Bonofiglo, P. J.
- Nuclear Fusion, Vol. 59, Issue 8
Alfvén eigenmodes and fast ion transport in negative triangularity DIII-D plasmas
journal, June 2019
- Van Zeeland, M. A.; Collins, C. S.; Heidbrink, W. W.
- Nuclear Fusion, Vol. 59, Issue 8
Electromagnetic turbulence suppression by energetic particle driven modes
journal, September 2019
- Di Siena, A.; Görler, T.; Poli, E.
- Nuclear Fusion, Vol. 59, Issue 12
Prediction of Alfvén eigenmode energetic particle transport in ITER scenarios with a critical gradient model
journal, December 2019
- Bass, E. M.; Waltz, R. E.
- Nuclear Fusion, Vol. 60, Issue 1
Electromagnetic turbulence suppression by energetic particle driven modes
text, January 2018
- Di Siena, A.; Görler, T.; Poli, E.
- arXiv