Physics of turbulence spreading and explicit nonlocality
Abstract
In this paper, we systematically derive a model for turbulence spreading from the basic kinetic equation. The model contains explicit nonlocal nonlinear diffusion and nonlocal growth. When the nonlocality scale parameter δb (banana width) vanishes, this model reduces to the usual turbulence spreading model. We elucidate the mechanisms of nonlinear saturation and nonlocal growth. Results show that nonlocal effects, especially the nonlocal growth, thicken the turbulence spreading front and increase the speed of front propagation. More turbulence intensity penetrates the stable region when δb increases. The penetration depth Δp is proportional to $$ \delta_b/L_T $$, therefore the fraction of turbulence in the unstable region scales as 1 – δb*. Lastly, the transport scales the same way.
- Authors:
-
[1];
[2]
- Southwestern Inst. of Physics, Sichuan (China); Tsinghua Univ., Beijing (China)
- Southwestern Inst. of Physics, Sichuan (China); Univ. of California, San Diego, La Jolla, CA (United States)
- Publication Date:
- Research Org.:
- Univ. of California, San Diego, La Jolla, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Fusion Energy Sciences (FES); National Natural Science Foundation of China (NSFC); Science and Technology Department of Sichuan Province; National Science Foundation (NSF)
- OSTI Identifier:
- 1806280
- Grant/Contract Number:
- FG02-04ER54738; 11875124; 11705052; 11905050; U1867222; 11875023; 2020JDTD0030; PHY-1748958
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Plasma Physics and Controlled Fusion
- Additional Journal Information:
- Journal Volume: 63; Journal Issue: 8; Journal ID: ISSN 0741-3335
- Publisher:
- IOP Science
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY
Citation Formats
Yan, Qinghao, and Diamond, P. H. Physics of turbulence spreading and explicit nonlocality. United States: N. p., 2021.
Web. doi:10.1088/1361-6587/ac0a3c.
Yan, Qinghao, & Diamond, P. H. Physics of turbulence spreading and explicit nonlocality. United States. https://doi.org/10.1088/1361-6587/ac0a3c
Yan, Qinghao, and Diamond, P. H. Wed .
"Physics of turbulence spreading and explicit nonlocality". United States. https://doi.org/10.1088/1361-6587/ac0a3c. https://www.osti.gov/servlets/purl/1806280.
@article{osti_1806280,
title = {Physics of turbulence spreading and explicit nonlocality},
author = {Yan, Qinghao and Diamond, P. H.},
abstractNote = {In this paper, we systematically derive a model for turbulence spreading from the basic kinetic equation. The model contains explicit nonlocal nonlinear diffusion and nonlocal growth. When the nonlocality scale parameter δb (banana width) vanishes, this model reduces to the usual turbulence spreading model. We elucidate the mechanisms of nonlinear saturation and nonlocal growth. Results show that nonlocal effects, especially the nonlocal growth, thicken the turbulence spreading front and increase the speed of front propagation. More turbulence intensity penetrates the stable region when δb increases. The penetration depth Δp is proportional to $ \delta_b/L_T $, therefore the fraction of turbulence in the unstable region scales as 1 – δb*. Lastly, the transport scales the same way.},
doi = {10.1088/1361-6587/ac0a3c},
journal = {Plasma Physics and Controlled Fusion},
number = 8,
volume = 63,
place = {United States},
year = {Wed Jun 30 00:00:00 EDT 2021},
month = {Wed Jun 30 00:00:00 EDT 2021}
}
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