等离子体边缘湍流输运的均场输运方程和能量定理

IF 2.1 3区 物理与天体物理 Q2 PHYSICS, FLUIDS & PLASMAS
Reinart Coosemans, Wouter Dekeyser, Martine Baelmans
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引用次数: 0

摘要

本文建立了均场方程组和能量定理,为均场传输代码开发自洽的、基于物理的湍流传输模型提供了理论基础。一个严格的平均程序确定了垂直湍流通量的精确形式,这些通量在平均场传输代码中通过特别的扩散项来建模,以及其他通常不考虑的闭合项。早期的工作表明,湍流中的 $E\times B$ 粒子通量和热通量--由此被确定为重要的闭合项--可以使用 $E\times B$ 速度波动中的动能($k_{E}$)以合理的精度建模。尽管还需要进一步的分析,但相关的熵在初步研究中进一步改进了建模方法。为了支持这种建模方法,我们对这两个量的传输方程进行了分析推导。特别是,建立了一个能量定理,其中显示 $k_{E}$ 的各种源项和汇项与平均场和湍流平行动能、其他垂直速度分量中的动能、热能和磁能耦合。这提供了交换、漂移波和雷诺应力等项的表达式。需要注意的是,这些能量方程中的大部分项反过来又是闭合项。建议在今后的工作中使用详细湍流代码模拟的参考数据来评估这些项。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Mean-field transport equations and energy theorem for plasma edge turbulent transport
This paper establishes a mean-field equation set and an energy theorem to provide a theoretical basis in view of the development of self-consistent, physics-based turbulent transport models for mean-field transport codes. A rigorous averaging procedure identifies the exact form of the perpendicular turbulent fluxes which are modelled by ad hoc diffusive terms in mean-field transport codes, next to other closure terms which are not commonly considered. Earlier work suggested that the turbulent $E\times B$ particle and heat fluxes, which are thus identified to be important closure terms, can be modelled to reasonable accuracy using the kinetic energy in the $E\times B$ velocity fluctuations ( $k_{E}$ ). The related enstrophy led to further modelling improvements in an initial study, although further analysis is required. To support this modelling approach, transport equations are derived analytically for both quantities. In particular, an energy theorem is established in which the various source and sink terms of $k_{E}$ are shown to couple to mean-field and turbulent parallel kinetic energy, kinetic energy in the other perpendicular velocity components, the thermal energy and the magnetic energy. This provides expressions for the interchange, drift-wave and Reynolds stress terms amongst others. Note that most terms in these energy equations are in turn closure terms. It is suggested to evaluate these terms using reference data from detailed turbulence code simulations in future work.
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来源期刊
Journal of Plasma Physics
Journal of Plasma Physics 物理-物理:流体与等离子体
CiteScore
3.50
自引率
16.00%
发文量
106
审稿时长
6-12 weeks
期刊介绍: JPP aspires to be the intellectual home of those who think of plasma physics as a fundamental discipline. The journal focuses on publishing research on laboratory plasmas (including magnetically confined and inertial fusion plasmas), space physics and plasma astrophysics that takes advantage of the rapid ongoing progress in instrumentation and computing to advance fundamental understanding of multiscale plasma physics. The Journal welcomes submissions of analytical, numerical, observational and experimental work: both original research and tutorial- or review-style papers, as well as proposals for its Lecture Notes series.
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