Poloidal rotation driven by nonlinear momentum transport in strong electrostatic turbulence

Wang, Lu; Wen, Tiliang; Diamond, P. H.

doi:10.1088/0029-5515/56/10/106017

Poloidal rotation driven by nonlinear momentum transport in strong electrostatic turbulence

Journal Article · Thu Aug 11 00:00:00 EDT 2016 · Nuclear Fusion

DOI:https://doi.org/10.1088/0029-5515/56/10/106017· OSTI ID:1290304

Wang, Lu; Wen, Tiliang; Diamond, P. H.

Abstract

Virtually, all existing theoretical works on turbulent poloidal momentum transport are based on quasilinear theory. Nonlinear poloidal momentum flux— $〈 {\tilde{v}}_{r} \tilde{n} {\tilde{v}}_{θ} 〉$ is universally neglected. However, in the strong turbulence regime where relative fluctuation amplitude is no longer small, quasilinear theory is invalid. This is true at the all-important plasma edge. In this work, nonlinear poloidal momentum flux $〈 {\tilde{v}}_{r} \tilde{n} {\tilde{v}}_{θ} 〉$ in strong electrostatic turbulence is calculated using the Hasegawa–Mima equation, and is compared with quasilinear poloidal Reynolds stress. A novel property is that symmetry breaking in fluctuation spectrum is not necessary for a nonlinear poloidal momentum flux. This is fundamentally different from the quasilinear Reynold stress. Furthermore, the comparison implies that the poloidal rotation drive from the radial gradient of nonlinear momentum flux is comparable to that from the quasilinear Reynolds force. Nonlinear poloidal momentum transport in strong electrostatic turbulence is thus not negligible for poloidal rotation drive, and so may be significant to transport barrier formation.

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Sponsoring Organization:: USDOE

Grant/Contract Number:: FG02-04ER54738

OSTI ID:: 1290304

Journal Information:: Nuclear Fusion, Journal Name: Nuclear Fusion Journal Issue: 10 Vol. 56; ISSN 0029-5515

Publisher:: IOP PublishingCopyright Statement

Country of Publication:: IAEA

Language:: English

References (38)

Modern Plasma Physics Diamond, Patrick H.; Itoh, Sanae-I.; Itoh, Kimitaka https://doi.org/10.1017/CBO9780511780875	book	October 2010
Analytical theories of turbulence Orszag, Steven A. Journal of Fluid Mechanics, Vol. 41, Issue 2 https://doi.org/10.1017/S0022112070000642	journal	April 1970
Neoclassical calculation of poloidal rotation and poloidal density asymmetries in tokamaks Stacey, Weston M. Physics of Plasmas, Vol. 9, Issue 9 https://doi.org/10.1063/1.1497371	journal	September 2002
Rotation of a toroidally confined, collisional plasma Hazeltine, R. D. Physics of Fluids, Vol. 17, Issue 5 https://doi.org/10.1063/1.1694838	journal	January 1974
Radial transport of fluctuation energy in a two-field model of drift-wave turbulence Gürcan, Ö. D.; Diamond, P. H.; Hahm, T. S. Physics of Plasmas, Vol. 13, Issue 5 https://doi.org/10.1063/1.2180668	journal	May 2006
Experimental test of the neoclassical theory of impurity poloidal rotation in tokamaks Solomon, W. M.; Burrell, K. H.; Andre, R. Physics of Plasmas, Vol. 13, Issue 5 https://doi.org/10.1063/1.2180728	journal	May 2006
Quiet periods in edge turbulence preceding the L-H transition in the National Spherical Torus Experiment Zweben, S. J.; Maqueda, R. J.; Hager, R. Physics of Plasmas, Vol. 17, Issue 10 https://doi.org/10.1063/1.3476276	journal	October 2010
Comparison of poloidal velocity measurements to neoclassical theory on the National Spherical Torus Experiment Bell, R. E.; Andre, R.; Kaye, S. M. Physics of Plasmas, Vol. 17, Issue 8 https://doi.org/10.1063/1.3478571	journal	August 2010
An electromagnetic theory of turbulence driven poloidal rotation McDevitt, C. J.; Gürcan, Ö. D. Physics of Plasmas, Vol. 19, Issue 10 https://doi.org/10.1063/1.4764078	journal	October 2012
Testing neoclassical and turbulent effects on poloidal rotation in the core of DIII-D Chrystal, C.; Burrell, K. H.; Grierson, B. A. Physics of Plasmas, Vol. 21, Issue 7 https://doi.org/10.1063/1.4887296	journal	July 2014
Intrinsic torque reversals induced by magnetic shear effects on the turbulence spectrum in tokamak plasmasa) Lu, Z. X.; Wang, W. X.; Diamond, P. H. Physics of Plasmas, Vol. 22, Issue 5 https://doi.org/10.1063/1.4919395	journal	May 2015
Nonlinear parallel momentum transport in strong electrostatic turbulence Wang, Lu; Wen, Tiliang; Diamond, P. H. Physics of Plasmas, Vol. 22, Issue 5 https://doi.org/10.1063/1.4919622	journal	May 2015
Influence of sheared poloidal rotation on edge turbulence Biglari, H.; Diamond, P. H.; Terry, P. W. Physics of Fluids B: Plasma Physics, Vol. 2, Issue 1 https://doi.org/10.1063/1.859529	journal	January 1990
Theory of mean poloidal flow generation by turbulence Diamond, P. H.; Kim, Y. ‐B. Physics of Fluids B: Plasma Physics, Vol. 3, Issue 7 https://doi.org/10.1063/1.859681	journal	July 1991
Poloidal rotation and density asymmetries in a tokamak plasma with strong toroidal rotation Stacey, W. M. Physics of Fluids B: Plasma Physics, Vol. 4, Issue 10 https://doi.org/10.1063/1.860476	journal	October 1992
Pseudo-three-dimensional turbulence in magnetized nonuniform plasma Hasegawa, Akira; Mima, Kunioki Physics of Fluids, Vol. 21, Issue 1 https://doi.org/10.1063/1.862083	journal	January 1978
Flow shear induced fluctuation suppression in finite aspect ratio shaped tokamak plasma Hahm, T. S.; Burrell, K. H. Physics of Plasmas, Vol. 2, Issue 5 https://doi.org/10.1063/1.871313	journal	May 1995
Bootstrap current and neoclassical transport in tokamaks of arbitrary collisionality and aspect ratio Houlberg, W. A.; Shaing, K. C.; Hirshman, S. P. Physics of Plasmas, Vol. 4, Issue 9 https://doi.org/10.1063/1.872465	journal	September 1997
Physics of non-diffusive turbulent transport of momentum and the origins of spontaneous rotation in tokamaks Diamond, P. H.; McDevitt, C. J.; Gürcan, Ö. D. Nuclear Fusion, Vol. 49, Issue 4 https://doi.org/10.1088/0029-5515/49/4/045002	journal	March 2009
Latest investigations on fluctuations, ELM filaments and turbulent transport in the SOL of ASDEX Upgrade Müller, H. W.; Adamek, J.; Cavazzana, R. Nuclear Fusion, Vol. 51, Issue 7 https://doi.org/10.1088/0029-5515/51/7/073023	journal	June 2011
An overview of intrinsic torque and momentum transport bifurcations in toroidal plasmas Diamond, P. H.; Kosuga, Y.; Gürcan, Ö. D. Nuclear Fusion, Vol. 53, Issue 10 https://doi.org/10.1088/0029-5515/53/10/104019	journal	September 2013
Turbulent-driven low-frequency sheared E × B flows as the trigger for the H-mode transition Tynan, G. R.; Xu, M.; Diamond, P. H. Nuclear Fusion, Vol. 53, Issue 7 https://doi.org/10.1088/0029-5515/53/7/073053	journal	July 2013
Study of the L–I–H transition with a new dual gas puff imaging system in the EAST superconducting tokamak Xu, G. S.; Shao, L. M.; Liu, S. C. Nuclear Fusion, Vol. 54, Issue 1 https://doi.org/10.1088/0029-5515/54/1/013007	journal	December 2013
Rotation and momentum transport in tokamaks and helical systems Ida, K.; Rice, J. E. Nuclear Fusion, Vol. 54, Issue 4 https://doi.org/10.1088/0029-5515/54/4/045001	journal	March 2014
Zonal flows in plasma—a review Diamond, P. H.; Itoh, S-I; Itoh, K. Plasma Physics and Controlled Fusion, Vol. 47, Issue 5 https://doi.org/10.1088/0741-3335/47/5/R01	journal	April 2005
Observation of turbulent-driven shear flow in a cylindrical laboratory plasma device Tynan, G. R.; Holland, C.; Yu, J. H. Plasma Physics and Controlled Fusion, Vol. 48, Issue 4 https://doi.org/10.1088/0741-3335/48/4/S05	journal	March 2006
Toroidal and poloidal momentum transport studies in tokamaks Tala, T.; Crombé, K.; de Vries, P. C. Plasma Physics and Controlled Fusion, Vol. 49, Issue 12B https://doi.org/10.1088/0741-3335/49/12B/S27	journal	November 2007
Momentum theorems and the structure of atmospheric jets and zonal flows in plasmas Diamond, P. H.; Gurcan, O. D.; Hahm, T. S. Plasma Physics and Controlled Fusion, Vol. 50, Issue 12 https://doi.org/10.1088/0741-3335/50/12/124018	journal	November 2008
Comparison of measured poloidal rotation in MAST spherical tokamak plasmas with neo-classical predictions Field, A. R.; McCone, J.; Conway, N. J. Plasma Physics and Controlled Fusion, Vol. 51, Issue 10 https://doi.org/10.1088/0741-3335/51/10/105002	journal	September 2009
A review of experimental drift turbulence studies Tynan, G. R.; Fujisawa, A.; McKee, G. Plasma Physics and Controlled Fusion, Vol. 51, Issue 11 https://doi.org/10.1088/0741-3335/51/11/113001	journal	October 2009
How does drift wave turbulence convert parallel compression into perpendicular flows? Wang, Lu; Diamond, P. H.; Hahm, T. S. Plasma Physics and Controlled Fusion, Vol. 54, Issue 9 https://doi.org/10.1088/0741-3335/54/9/095015	journal	August 2012
Mean and Oscillating Plasma Flows and Turbulence Interactions across the L − H Confinement Transition Conway, G. D.; Angioni, C.; Ryter, F. Physical Review Letters, Vol. 106, Issue 6 https://doi.org/10.1103/PhysRevLett.106.065001	journal	February 2011
First Evidence of the Role of Zonal Flows for the L − H Transition at Marginal Input Power in the EAST Tokamak Xu, G. S.; Wan, B. N.; Wang, H. Q. Physical Review Letters, Vol. 107, Issue 12 https://doi.org/10.1103/PhysRevLett.107.125001	journal	September 2011
Spatiotemporal Structure of the Interaction between Turbulence and Flows at the L-H Transition in a Toroidal Plasma Estrada, T.; Hidalgo, C.; Happel, T. Physical Review Letters, Vol. 107, Issue 24 https://doi.org/10.1103/PhysRevLett.107.245004	journal	December 2011
Effects of Magnetic Shear on Toroidal Rotation in Tokamak Plasmas with Lower Hybrid Current Drive Rice, J. E.; Podpaly, Y. A.; Reinke, M. L. Physical Review Letters, Vol. 111, Issue 12 https://doi.org/10.1103/PhysRevLett.111.125003	journal	September 2013
Plasma Edge Turbulence Hasegawa, Akira; Wakatani, Masahiro Physical Review Letters, Vol. 50, Issue 9 https://doi.org/10.1103/PhysRevLett.50.682	journal	February 1983
Role of Reynolds Stress-Induced Poloidal Flow in Triggering the Transition to Improved Ohmic Confinement on the HT-6M Tokamak Xu, Y. H.; Yu, C. X.; Luo, J. R. Physical Review Letters, Vol. 84, Issue 17 https://doi.org/10.1103/PhysRevLett.84.3867	journal	April 2000
Poloidal Rotation Dynamics, Radial Electric Field, and Neoclassical Theory in the Jet Internal-Transport-Barrier Region Crombé, K.; Andrew, Y.; Brix, M. Physical Review Letters, Vol. 95, Issue 15 https://doi.org/10.1103/PhysRevLett.95.155003	journal	October 2005

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