Assessing physics of ion temperature gradient turbulence via hierarchical reduced-model representations

Li, Ping-Yu; Terry, Paul W.

doi:10.1063/5.0080511

Title: Assessing physics of ion temperature gradient turbulence via hierarchical reduced-model representations

Journal Article · 31 March 2022 · Physics of Plasmas

DOI: https://doi.org/10.1063/5.0080511 · OSTI ID:1864711

^[1];

^[2]

Univ. of Wisconsin, Madison, WI (United States); Univ. of Texas, Austin, TX (United States); University of Wisconsin-Madison
Univ. of Wisconsin, Madison, WI (United States)

In this work, the saturation physics of ion temperature gradient (ITG) turbulence is probed by studying how amplitudes and scalings with key parameters vary across a hierarchy of reduced models. The models derive from nonlinear fluid equations for toroidal ITG turbulence under approximations to the mode coupling interactions in wavenumber space and the representation of turbulent decorrelation. Mode coupling approximations include local-in-wavenumber treatments like the spectral density of flux in quasilinear theory, a truncation to three nonlinearly interacting waves, and the interactions in a cascade to high radial wavenumber mediated by a single zonal flow. Turbulent decorrelation treatments are based on the triplet correlation time with and without eddy damping. Model fidelity is assessed by the scalings and magnitudes of the squared amplitudes of unstable mode, stable mode, and zonal flow with respect to the flow-damping rate and temperature gradient. It is shown that all models reproduce fundamental scalings, provided they incorporate the coupling of unstable mode, stable mode, and zonal flow. Accurate amplitude prediction requires eddy damping in the triplet correlation time and proper representation of the zonal-flow drive by interactions associated with the radial wavenumber cascade.

View Accepted Manuscript (DOE)

Cite

Export

Save

Research Organization:: Univ. of Wisconsin, Madison, WI (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: FG02-89ER53291

OSTI ID:: 1864711

Alternate ID(s):: OSTI ID: 1860521

Journal Information:: Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 4 Vol. 29; ISSN 1070-664X

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

Country of Publication:: United States

Language:: English

References (44)

Anomalous transport in tokamaks: Transport task force reviews Callen, J. D. Physics of Fluids B: Plasma Physics, Vol. 2, Issue 12 https://doi.org/10.1063/1.859356	journal	December 1990
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
Poloidal Flow Driven by Ion-Temperature-Gradient Turbulence in Tokamaks Rosenbluth, M. N.; Hinton, F. L. Physical Review Letters, Vol. 80, Issue 4 https://doi.org/10.1103/PhysRevLett.80.724	journal	January 1998
Toroidal drift modes driven by ion pressure gradients Horton, Wendell Physics of Fluids, Vol. 24, Issue 6 https://doi.org/10.1063/1.863486	journal	January 1981
Comparisons and physics basis of tokamak transport models and turbulence simulations Dimits, A. M.; Bateman, G.; Beer, M. A. Physics of Plasmas, Vol. 7, Issue 3 https://doi.org/10.1063/1.873896	journal	March 2000
Saturation and nonlinear electromagnetic stabilization of ITG turbulence Whelan, G. G.; Pueschel, M. J.; Terry, P. W. Physics of Plasmas, Vol. 26, Issue 8 https://doi.org/10.1063/1.5096252	journal	August 2019
A new gyrokinetic quasilinear transport model applied to particle transport in tokamak plasmas Bourdelle, C.; Garbet, X.; Imbeaux, F. Physics of Plasmas, Vol. 14, Issue 11 https://doi.org/10.1063/1.2800869	journal	November 2007
Energy spectrum of tearing mode turbulence in sheared background field Hu, Di; Bhattacharjee, Amitava; Huang, Yi-Min Physics of Plasmas, Vol. 25, Issue 6 https://doi.org/10.1063/1.5022292	journal	June 2018
Advances in stellarator gyrokinetics Helander, P.; Bird, T.; Jenko, F. Nuclear Fusion, Vol. 55, Issue 5 https://doi.org/10.1088/0029-5515/55/5/053030	journal	April 2015
Analytical theories of turbulence Orszag, Steven A. Journal of Fluid Mechanics, Vol. 41, Issue 2 https://doi.org/10.1017/S0022112070000642	journal	April 1970
Role of subdominant stable modes in plasma microturbulence Hatch, D. R.; Terry, P. W.; Jenko, F. Physics of Plasmas, Vol. 18, Issue 5 https://doi.org/10.1063/1.3563536	journal	May 2011
Wave-Number Spectrum of Drift-Wave Turbulence Gürcan, Ö. D.; Garbet, X.; Hennequin, P. Physical Review Letters, Vol. 102, Issue 25 https://doi.org/10.1103/PhysRevLett.102.255002	journal	June 2009
Role of stable eigenmodes in saturated local plasma turbulence Terry, P. W.; Baver, D. A.; Gupta, Sangeeta Physics of Plasmas, Vol. 13, Issue 2 https://doi.org/10.1063/1.2168453	journal	February 2006
Magnetic stochasticity and transport due to nonlinearly excited subdominant microtearing modes Hatch, D. R.; Pueschel, M. J.; Jenko, F. Physics of Plasmas, Vol. 20, Issue 1 https://doi.org/10.1063/1.4789448	journal	January 2013
Coupling of damped and growing modes in unstable shear flow Fraser, A. E.; Terry, P. W.; Zweibel, E. G. Physics of Plasmas, Vol. 24, Issue 6 https://doi.org/10.1063/1.4985322	journal	June 2017
Low-noise electromagnetic and relativistic particle-in-cell plasma simulation models Sydora, R. D. Journal of Computational and Applied Mathematics, Vol. 109, Issue 1-2 https://doi.org/10.1016/S0377-0427(99)00161-2	journal	September 1999
A strain-based Lagrangian-history turbulence theory Kraichnan, Robert H.; Herring, Jackson R. Journal of Fluid Mechanics, Vol. 88, Issue 2 https://doi.org/10.1017/S0022112078002153	journal	September 1978
Effects of Collisional Zonal Flow Damping on Turbulent Transport Lin, Z.; Hahm, T. S.; Lee, W. W. Physical Review Letters, Vol. 83, Issue 18 https://doi.org/10.1103/PhysRevLett.83.3645	journal	November 1999
Instabilities due to Temperature Gradients in Complex Magnetic Field Configurations Coppi, B. Physics of Fluids, Vol. 10, Issue 3 https://doi.org/10.1063/1.1762151	journal	January 1967
Investigations of the role of nonlinear couplings in structure formation and transport regulation: experiment, simulation, and theory Holland, C.; Diamond, P. H.; Champeaux, S. Nuclear Fusion, Vol. 43, Issue 8 https://doi.org/10.1088/0029-5515/43/8/319	journal	August 2003
Toroidal gyrofluid equations for simulations of tokamak turbulence Beer, M. A.; Hammett, G. W. Physics of Plasmas, Vol. 3, Issue 11 https://doi.org/10.1063/1.871538	journal	November 1996
Nonlinear Electromagnetic Stabilization of Plasma Microturbulence Whelan, G. G.; Pueschel, M. J.; Terry, P. W. Physical Review Letters, Vol. 120, Issue 17 https://doi.org/10.1103/PhysRevLett.120.175002	journal	April 2018
Predicting the critical gradient of ITG turbulence in fusion plasmas Pueschel, M. J.; Li, P. -Y.; Terry, P. W. Nuclear Fusion, Vol. 61, Issue 5 https://doi.org/10.1088/1741-4326/abf175	journal	April 2021
Microturbulence studies of pulsed poloidal current drive discharges in the reversed field pinch Carmody, D.; Pueschel, M. J.; Anderson, J. K. Physics of Plasmas, Vol. 22, Issue 1 https://doi.org/10.1063/1.4905709	journal	January 2015
Saturation scalings of toroidal ion temperature gradient turbulence Terry, P. W.; Faber, B. J.; Hegna, C. C. Physics of Plasmas, Vol. 25, Issue 1 https://doi.org/10.1063/1.5007062	journal	January 2018
The Gyrokinetic Description of Microturbulence in Magnetized Plasmas Krommes, John A. Annual Review of Fluid Mechanics, Vol. 44, Issue 1 https://doi.org/10.1146/annurev-fluid-120710-101223	journal	January 2012
Subdominant Modes in Zonal-Flow-Regulated Turbulence Makwana, K. D.; Terry, P. W.; Pueschel, M. J. Physical Review Letters, Vol. 112, Issue 9 https://doi.org/10.1103/PhysRevLett.112.095002	journal	March 2014
Drift waves and transport Horton, W. Reviews of Modern Physics, Vol. 71, Issue 3 https://doi.org/10.1103/RevModPhys.71.735	journal	April 1999
Saturation physics of threshold heat-flux reduction Li, P. -Y.; Terry, P. W.; Whelan, G. G. Physics of Plasmas, Vol. 28, Issue 10 https://doi.org/10.1063/5.0059335	journal	October 2021
Study of the L-mode tokamak plasma “shortfall” with local and global nonlinear gyrokinetic δf particle-in-cell simulation Chowdhury, J.; Wan, Weigang; Chen, Yang Physics of Plasmas, Vol. 21, Issue 11 https://doi.org/10.1063/1.4901031	journal	November 2014
The structure of isotropic turbulence at very high Reynolds numbers Kraichnan, Robert H. Journal of Fluid Mechanics, Vol. 5, Issue 04 https://doi.org/10.1017/S0022112059000362	journal	May 1959
Theory of ITG turbulent saturation in stellarators: Identifying mechanisms to reduce turbulent transport Hegna, C. C.; Terry, P. W.; Faber, B. J. Physics of Plasmas, Vol. 25, Issue 2 https://doi.org/10.1063/1.5018198	journal	February 2018
Transport properties of finite-β microturbulence Pueschel, M. J.; Jenko, F. Physics of Plasmas, Vol. 17, Issue 6 https://doi.org/10.1063/1.3435280	journal	June 2010
Threshold Heat-Flux Reduction by Near-Resonant Energy Transfer Terry, P. W.; Li, P. -Y.; Pueschel, M. J. Physical Review Letters, Vol. 126, Issue 2 https://doi.org/10.1103/PhysRevLett.126.025004	journal	January 2021
Multi-scale gyrokinetic simulation of tokamak plasmas: enhanced heat loss due to cross-scale coupling of plasma turbulence Howard, N. T.; Holland, C.; White, A. E. Nuclear Fusion, Vol. 56, Issue 1 https://doi.org/10.1088/0029-5515/56/1/014004	journal	December 2015
Verification and validation for magnetic fusion Greenwald, Martin Physics of Plasmas, Vol. 17, Issue 5 https://doi.org/10.1063/1.3298884	journal	May 2010
Nonlinear stability and instability in collisionless trapped electron mode turbulence Baver, D. A.; Terry, P. W.; Gatto, R. Physics of Plasmas, Vol. 9, Issue 8 https://doi.org/10.1063/1.1491958	journal	August 2002
Damped eigenmode saturation in plasma fluid turbulence Makwana, K. D.; Terry, P. W.; Kim, J. -H. Physics of Plasmas, Vol. 18, Issue 1 https://doi.org/10.1063/1.3530186	journal	January 2011
Validation in fusion research: Towards guidelines and best practices Terry, P. W.; Greenwald, M.; Leboeuf, J. -N. Physics of Plasmas, Vol. 15, Issue 6 https://doi.org/10.1063/1.2928909	journal	June 2008
Mode-space energy distribution in instability-driven plasma turbulence Terry, P. W.; Makwana, K. D.; Pueschel, M. J. Physics of Plasmas, Vol. 21, Issue 12 https://doi.org/10.1063/1.4903207	journal	December 2014
Electron temperature gradient driven turbulence Jenko, F.; Dorland, W.; Kotschenreuther, M. Physics of Plasmas, Vol. 7, Issue 5 https://doi.org/10.1063/1.874014	journal	May 2000
Zonal flow as pattern formation Parker, Jeffrey B.; Krommes, John A. Physics of Plasmas, Vol. 20, Issue 10 https://doi.org/10.1063/1.4828717	journal	October 2013
Role of stable modes in zonal flow regulated turbulence Makwana, K. D.; Terry, P. W.; Kim, J. -H. Physics of Plasmas, Vol. 19, Issue 6 https://doi.org/10.1063/1.4729906	journal	June 2012
Collisionless microinstabilities in stellarators. I. Analytical theory of trapped-particle modes Helander, P.; Proll, J. H. E.; Plunk, G. G. Physics of Plasmas, Vol. 20, Issue 12 https://doi.org/10.1063/1.4846818	journal	December 2013

Similar Records

Saturation and nonlinear electromagnetic stabilization of ITG turbulence

Journal Article · 2019 · Physics of Plasmas · OSTI ID:1547668

Whelan, G. G.; Pueschel, M. J.; Terry, P. W.; +4 more

Saturation scalings of toroidal ion temperature gradient turbulence

Journal Article · 2018 · Physics of Plasmas · OSTI ID:1540133

Terry, P. W.; Faber, B. J.; Hegna, C. C.; +3 more

Role of stable modes in zonal flow regulated turbulence

Journal Article · 2012 · Physics of Plasmas · OSTI ID:22072460

Makwana, K D; Terry, P W; Kim, J -H

Related Subjects

70
Turbulence
Verification
Transport
Plasma confinement
Plasma dynamics
Plasma gyrokinetics
Equations of fluid dynamics
Energy conservation
Plasma flows
Quasilinear theory
Partial differential equations

Title: Assessing physics of ion temperature gradient turbulence via hierarchical reduced-model representations

Citation Formats

References (44)

Similar Records

Related Subjects