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Title: The Reynolds stress induced by weakly up-down asymmetric ion temperature gradient mode

Journal Article · · Physics of Plasmas
DOI:https://doi.org/10.1063/1.4966241· OSTI ID:1535286
ORCiD logo [1];  [2];  [3];  [4];  [5]
  1. Sichuan Univ. of Science and Engineering, Zigong, Sichuan (China). School of Science
  2. Chinese Academy of Sciences (CAS), Hefei, Anhui (China). Center for Magnetic Fusion Theory
  3. Univ. of Texas, Austin, TX (United States). Inst. for Fusion Studies
  4. Univ. of Science and Technology of China, Hefei, Anhui (China). Dept. of Modern Physics
  5. Southwestern Inst. of Physics, Chengdu, Sichuan (China)

A weakly up-down asymmetric ion temperature gradient (ITG) mode (formed in the up-down symmetric equilibrium), localized in the bad curvature region, may contribute dominantly to the nonlinear Reynolds stress because its growth rate is higher than the competing modes: the strongly up-down asymmetric modes, and other modes peaked (poloidally) away from the outboard mid-plane. Based on the fluid ITG model, the parameterized analytic wave function is constructed in the two dimensional (2D) Fourier-ballooning representation, and numerically verified by making use of the finite difference methods. Analytic expressions for the poloidal Reynolds stresses, defined on a rational surface, are given for both the weakly and the strongly up-down asymmetric ITG modes. It is shown here that the poloidal stresses of both modes can be interpreted as a superposition of a monopole and a dipole structure. For comparison with the experiment, the stresses are calculated for L-mode discharge parameters on five machines. Analytic expressions for the total parallel Reynolds stresses (contributed from all rational surfaces) are also derived for both modes: they are also exhibited, graphically, using a Gaussian wave intensity model.

Research Organization:
Univ. of Texas, Austin, TX (United States)
Sponsoring Organization:
USDOE Office of Science (SC)
Grant/Contract Number:
FG02-04ER54742; FG02-04ER-54742
OSTI ID:
1535286
Alternate ID(s):
OSTI ID: 1330477
Journal Information:
Physics of Plasmas, Vol. 23, Issue 10; ISSN 1070-664X
Publisher:
American Institute of Physics (AIP)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 6 works
Citation information provided by
Web of Science

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Cited By (2)

A theory of self-organized zonal flow with fine radial structure in tokamak journal December 2017
The two-dimensional kinetic ballooning theory for trapped electron mode in tokamak journal February 2019

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