Alfvén eigenmode stability and critical gradient energetic particle transport using the Trapped-Gyro-Landau-Fluid model

Sheng, He; Waltz, R. E.; Staebler, G. M.

doi:10.1063/1.4989716

Title: Alfvén eigenmode stability and critical gradient energetic particle transport using the Trapped-Gyro-Landau-Fluid model

Journal Article · Thu Jun 29 00:00:00 EDT 2017 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.4989716· OSTI ID:1474303

Sheng, He ^[1];

^[2];

^[2]

Peking Univ., Beijing (China). School of Physics, State Key Lab. of Nuclear Physics
General Atomics, San Diego, CA (United States)

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 γ_AE=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 p_EP/L$$EP\atop{p}$$ drive is isolated: R/L$$EP\atop{p}$$ > C_R ~ 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.

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Research Organization:: General Atomics, San Diego, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Fusion Energy Sciences (FES)

Grant/Contract Number:: FG02-95ER54309; FC02-08ER54977

OSTI ID:: 1474303

Alternate ID(s):: OSTI ID: 1367361

Journal Information:: Physics of Plasmas, Vol. 24, Issue 7; ISSN 1070-664X

Publisher:: American Institute of Physics (AIP)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 18 works

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References (21)

Physics of Alfvén waves and energetic particles in burning plasmas Chen, Liu; Zonca, Fulvio Reviews of Modern Physics, Vol. 88, Issue 1 https://doi.org/10.1103/RevModPhys.88.015008	journal	March 2016
Toroidal gyro‐Landau fluid model turbulence simulations in a nonlinear ballooning mode representation with radial modes Waltz, R. E.; Kerbel, G. D.; Milovich, J. Physics of Plasmas, Vol. 1, Issue 7 https://doi.org/10.1063/1.870934	journal	July 1994
Quasilinear model for energetic particle diffusion in radial and velocity space Waltz, R. E.; Bass, E. M.; Staebler, G. M. Physics of Plasmas, Vol. 20, Issue 4 https://doi.org/10.1063/1.4802808	journal	April 2013
The behaviour of fast ions in tokamak experiments Heidbrink, W. W.; Sadler, G. J. Nuclear Fusion, Vol. 34, Issue 4 https://doi.org/10.1088/0029-5515/34/4/I07	journal	April 1994
An Eulerian gyrokinetic-Maxwell solver Candy, J.; Waltz, R. E. Journal of Computational Physics, Vol. 186, Issue 2 https://doi.org/10.1016/S0021-9991(03)00079-2	journal	April 2003
Kinetic transport simulation of energetic particles Sheng, He; Waltz, R. E. Nuclear Fusion, Vol. 56, Issue 5 https://doi.org/10.1088/0029-5515/56/5/056004	journal	April 2016
Gyrokinetic simulations of impurity, He ash and α particle transport and consequences on ITER transport modelling Angioni, C.; Peeters, A. G.; Pereverzev, G. V. Nuclear Fusion, Vol. 49, Issue 5 https://doi.org/10.1088/0029-5515/49/5/055013	journal	April 2009
ITER predictions using the GYRO verified and experimentally validated trapped gyro-Landau fluid transport model Kinsey, J. E.; Staebler, G. M.; Candy, J. Nuclear Fusion, Vol. 51, Issue 8 https://doi.org/10.1088/0029-5515/51/8/083001	journal	June 2011
Excitation of high‐ n toroidicity‐induced shear Alfvén eigenmodes by energetic particles and fusion alpha particles in tokamaks Fu, G. Y.; Cheng, C. Z. Physics of Fluids B: Plasma Physics, Vol. 4, Issue 11 https://doi.org/10.1063/1.860328	journal	November 1992
Excitation of the toroidicity‐induced shear Alfvén eigenmode by fusion alpha particles in an ignited tokamak Fu, G. Y.; Van Dam, J. W. Physics of Fluids B: Plasma Physics, Vol. 1, Issue 10 https://doi.org/10.1063/1.859057	journal	October 1989
Prediction of the fusion alpha density profile in ITER from local marginal stability to Alfvén eigenmodes Waltz, R. E.; Bass, E. M. Nuclear Fusion, Vol. 54, Issue 10 https://doi.org/10.1088/0029-5515/54/10/104006	journal	October 2014
Ion temperature gradient turbulence simulations and plasma flux surface shape Waltz, R. E.; Miller, R. L. Physics of Plasmas, Vol. 6, Issue 11 https://doi.org/10.1063/1.873694	journal	November 1999
Gyrokinetic simulations of mesoscale energetic particle-driven Alfvénic turbulent transport embedded in microturbulence Bass, E. M.; Waltz, R. E. Physics of Plasmas, Vol. 17, Issue 11 https://doi.org/10.1063/1.3509106	journal	November 2010
Noncircular, finite aspect ratio, local equilibrium model Miller, R. L.; Chu, M. S.; Greene, J. M. Physics of Plasmas, Vol. 5, Issue 4 https://doi.org/10.1063/1.872666	journal	April 1998
Chapter 5: Physics of energetic ions Fasoli, A.; Gormenzano, C.; Berk, H. L. Nuclear Fusion, Vol. 47, Issue 6 https://doi.org/10.1088/0029-5515/47/6/S05	journal	June 2007
Gyrokinetic calculations of diffusive and convective transport of α particles with a slowing-down distribution function Angioni, C.; Peeters, A. G. Physics of Plasmas, Vol. 15, Issue 5 https://doi.org/10.1063/1.2913610	journal	May 2008
Development and validation of a critical gradient energetic particle driven Alfven eigenmode transport model for DIII-D tilted neutral beam experiments Waltz, R. E.; Bass, E. M.; Heidbrink, W. W. Nuclear Fusion, Vol. 55, Issue 12 https://doi.org/10.1088/0029-5515/55/12/123012	journal	October 2015
A theory-based transport model with comprehensive physics Staebler, G. M.; Kinsey, J. E.; Waltz, R. E. Physics of Plasmas, Vol. 14, Issue 5 https://doi.org/10.1063/1.2436852	journal	May 2007
The effect of the fast-ion profile on Alfvén eigenmode stability Heidbrink, W. W.; Van Zeeland, M. A.; Austin, M. E. Nuclear Fusion, Vol. 53, Issue 9 https://doi.org/10.1088/0029-5515/53/9/093006	journal	August 2013
Gyro-Landau fluid equations for trapped and passing particles Staebler, G. M.; Kinsey, J. E.; Waltz, R. E. Physics of Plasmas, Vol. 12, Issue 10 https://doi.org/10.1063/1.2044587	journal	October 2005
Energetic particle physics in fusion research in preparation for burning plasma experiments Gorelenkov, N. N.; Pinches, S. D.; Toi, K. Nuclear Fusion, Vol. 54, Issue 12 https://doi.org/10.1088/0029-5515/54/12/125001	journal	November 2014

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Transport barriers in bootstrap-driven tokamaks Staebler, G. M.; Garofalo, A. M.; Pan, C. Physics of Plasmas, Vol. 25, Issue 5 https://doi.org/10.1063/1.5019282	journal	May 2018
Integrated Tokamak modeling: When physics informs engineering and research planning Poli, Francesca Maria Physics of Plasmas, Vol. 25, Issue 5 https://doi.org/10.1063/1.5021489	journal	May 2018
Validation of Alfvén eigenmode simulations on DIII-D and projection for CFETR scenario Zou, Yunpeng; Chan, Vincent S.; Huang, Juan Nuclear Fusion, Vol. 59, Issue 6 https://doi.org/10.1088/1741-4326/ab1300	journal	April 2019
A measure of fast ion beta at marginal stability in the reversed field pinch Capecchi, W.; Anderson, J. K.; Bonofiglo, P. J. Nuclear Fusion, Vol. 59, Issue 8 https://doi.org/10.1088/1741-4326/ab2473	journal	June 2019
Alfvén eigenmodes and fast ion transport in negative triangularity DIII-D plasmas Van Zeeland, M. A.; Collins, C. S.; Heidbrink, W. W. Nuclear Fusion, Vol. 59, Issue 8 https://doi.org/10.1088/1741-4326/ab2488	journal	June 2019
Electromagnetic turbulence suppression by energetic particle driven modes Di Siena, A.; Görler, T.; Poli, E. Nuclear Fusion, Vol. 59, Issue 12 https://doi.org/10.1088/1741-4326/ab4088	journal	September 2019
Prediction of Alfvén eigenmode energetic particle transport in ITER scenarios with a critical gradient model Bass, E. M.; Waltz, R. E. Nuclear Fusion, Vol. 60, Issue 1 https://doi.org/10.1088/1741-4326/ab54fb	journal	December 2019
Electromagnetic turbulence suppression by energetic particle driven modes Di Siena, A.; Görler, T.; Poli, E. arXiv https://doi.org/10.48550/arxiv.1812.03755	text	January 2018

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