The ecology of flows and drift wave turbulence in CSDX: A model
Abstract
This paper describes the ecology of drift wave turbulence and mean flows in the coupled driftion acoustic wave plasma of a CSDX linear device. A 1D reduced model that studies the spatiotemporal evolution of plasma mean density $$\bar{n}$$, and mean flows $$\bar{v}$$y and $$\bar{v}$$z, in addition to fluctuation intensity ε, is presented. Here, $\epsilon =\langle {\stackrel{~}{n}}^{2}+{\left({\nabla}_{\perp}\stackrel{~}{\Phi}\right)}^{2}+{\stackrel{~}{v}}_{z}^{2}\rangle $ is the conserved energy field. The model uses a mixing length l_{mix} inversely proportional to both axial and azimuthal flow shear. This form of l_{mix} closes the loop on total energy. The model selfconsistently describes variations in plasma profiles, including mean flows and turbulent stresses. It investigates the energy exchange between the fluctuation intensity and mean profiles via particle flux $\langle \stackrel{~}{n}{\stackrel{~}{v}}_{x}\rangle $ and Reynolds stresses $\langle {\stackrel{~}{v}}_{x}{\stackrel{~}{v}}_{y}\rangle $ and $\langle {\stackrel{~}{v}}_{x}{\stackrel{~}{v}}_{z}\rangle $ Acoustic coupling breaks parallel symmetry and generates a parallel residual stress Π res xz . The model uses a set of equations to explain the acceleration of $$\bar{v}_y$$ and $$\bar{v}_z$$ via ${\Pi}_{xy}^{res}\propto \nabla \stackrel{}{n}$ and ${\Pi}_{xy}^{res}\propto \nabla \stackrel{}{n}$. Flow dynamics in the parallel direction are related to those in the perpendicular direction through an empirical coupling constant σVT. This constant measures the degree of symmetry breaking in the 〈$$k_mk_z$$〉 correlator and determines the efficiency of ∇$$\bar{n}$$ in driving $$\bar{v}_z$$. The model also establishes a relation between ∇$$\bar{v}_y$$ and ∇$$\bar{v}_z$$, via the ratio of the stresses Π res xy and Π res xz . When parallel to perpendicular flow coupling is weak, axial Reynolds power ${P}_{xz}^{Re}=\langle {\stackrel{~}{v}}_{x}{\stackrel{~}{v}}_{z}\rangle \nabla {\stackrel{}{v}}_{z}$ is less than the azimuthal Reynolds power ${P}_{xy}^{Re}=\langle {\stackrel{~}{v}}_{x}{\stackrel{~}{v}}_{y}\rangle \nabla {\stackrel{}{v}}_{y}$∇$$\bar{v}_y$$. The model is then reduced to a 2field predator/prey model where $$\bar{v}_z$$ is parasitic to the system and fluctuations evolve selfconsistently. Finally, turbulent diffusion in CSDX follows the scaling: ${D}_{\text{CSDX}}={D}_{B}{\rho}_{*}^{0.6}$, where D_{B} is the Bohm diffusion coefficient and ρ_{*} is the ion gyroradius normalized to the density gradient $\nabla \stackrel{}{n}/\stackrel{}{n}{}^{1}$
 Authors:

 Univ. of California, San Diego, CA (United States). Center for Energy Research
 Univ. of California, San Diego, CA (United States). Center for Energy Research, Center for Astrophysics and Space Sciences; Center for Fusion Sciences, Southwestern Inst. of Physics, Chengdu, Sichuan (China)
 Univ. of California, San Diego, CA (United States). Center for Energy Research; Center for Fusion Sciences, Southwestern Inst. of Physics, Chengdu, Sichuan (China)
 Publication Date:
 Research Org.:
 Univ. of California, San Diego, CA (United States)
 Sponsoring Org.:
 USDOE Office of Science (SC), Fusion Energy Sciences (FES) (SC24)
 OSTI Identifier:
 1524572
 Alternate Identifier(s):
 OSTI ID: 1420214
 Grant/Contract Number:
 FG0204ER54738
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Physics of Plasmas
 Additional Journal Information:
 Journal Volume: 25; Journal Issue: 2; Journal ID: ISSN 1070664X
 Publisher:
 American Institute of Physics (AIP)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 70 PLASMA PHYSICS AND FUSION TECHNOLOGY
Citation Formats
Hajjar, R. J., Diamond, P. H., and Tynan, G. R. The ecology of flows and drift wave turbulence in CSDX: A model. United States: N. p., 2018.
Web. doi:10.1063/1.5018320.
Hajjar, R. J., Diamond, P. H., & Tynan, G. R. The ecology of flows and drift wave turbulence in CSDX: A model. United States. doi:10.1063/1.5018320.
Hajjar, R. J., Diamond, P. H., and Tynan, G. R. Thu .
"The ecology of flows and drift wave turbulence in CSDX: A model". United States. doi:10.1063/1.5018320. https://www.osti.gov/servlets/purl/1524572.
@article{osti_1524572,
title = {The ecology of flows and drift wave turbulence in CSDX: A model},
author = {Hajjar, R. J. and Diamond, P. H. and Tynan, G. R.},
abstractNote = {This paper describes the ecology of drift wave turbulence and mean flows in the coupled driftion acoustic wave plasma of a CSDX linear device. A 1D reduced model that studies the spatiotemporal evolution of plasma mean density $\bar{n}$, and mean flows $\bar{v}$y and $\bar{v}$z, in addition to fluctuation intensity ε, is presented. Here, ε=〈n~2+(∇⊥Φ~)2+v~z2〉 is the conserved energy field. The model uses a mixing length lmix inversely proportional to both axial and azimuthal flow shear. This form of lmix closes the loop on total energy. The model selfconsistently describes variations in plasma profiles, including mean flows and turbulent stresses. It investigates the energy exchange between the fluctuation intensity and mean profiles via particle flux 〈n~v~x〉 and Reynolds stresses 〈v~xv~y〉 and 〈 v~xv~z〉 Acoustic coupling breaks parallel symmetry and generates a parallel residual stress Π res xz . The model uses a set of equations to explain the acceleration of $\bar{v}_y$ and $\bar{v}_z$ via Πxyres∝∇n and Πxyres∝∇n. Flow dynamics in the parallel direction are related to those in the perpendicular direction through an empirical coupling constant σVT. This constant measures the degree of symmetry breaking in the 〈$k_mk_z$〉 correlator and determines the efficiency of ∇$\bar{n}$ in driving $\bar{v}_z$. The model also establishes a relation between ∇$\bar{v}_y$ and ∇$\bar{v}_z$, via the ratio of the stresses Π res xy and Π res xz . When parallel to perpendicular flow coupling is weak, axial Reynolds power PxzRe=〈v~xv~z〉∇vz is less than the azimuthal Reynolds power PxyRe=〈v~xv~y〉∇vy∇$\bar{v}_y$. The model is then reduced to a 2field predator/prey model where $\bar{v}_z$ is parasitic to the system and fluctuations evolve selfconsistently. Finally, turbulent diffusion in CSDX follows the scaling: DCSDX=DBρ*0.6, where DB is the Bohm diffusion coefficient and ρ* is the ion gyroradius normalized to the density gradient ∇n/n1},
doi = {10.1063/1.5018320},
journal = {Physics of Plasmas},
number = 2,
volume = 25,
place = {United States},
year = {2018},
month = {2}
}
Web of Science
Figures / Tables:
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