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The interplay between Reynolds stress and zonal flows: direct numerical simulation as a bridge between theory and experiment

M Vergote, M Van Schoor, Y Xu, S Jachmich, R Weynants2006年Plasma Physics and Controlled FusionIF 2.2出版社

We describe the results of a measurement campaign on the CASTOR tokamak where the drive of flows and zonal flows by Reynolds stress was investigated by means of a dual probe head system allowing us to measure the properties of the electrostatic turbulence and the rotation velocities at the same location and at the same moment. We compare these experimental results with a turbulence model linked to a one dimensional fluid model describing the electrostatic turbulence and its influence on the background flow. The turbulence is simulated locally on the basis of the Hasegawa–Wakatani equations, completed with magnetic inhomogeneity terms. In the fluid model the toroidal geometry is correctly taken into account, while various sources and sinks like viscosity, interaction with neutrals, Reynolds stress and electric current induced by biasing are included. The good agreement of the predicted flow with the measured one demonstrates that in a pure cylindrical geometry the modelled strength of Reynolds stress acceleration of flow is overestimated.

日本語訳

我々は、レイノルズ応力による流れと帯状流の駆動が調査されたCASTORトカマクにおける測定キャンペーンの結果を述べる。同一位置かつ同時刻に静電乱流の特性と回転速度を測定できる二重プローブヘッドシステムを用いた。これらの実験結果を、静電乱流とその背景流への影響を記述する一次元流体モデルに結び付けられた乱流モデルと比較する。乱流は、磁気的不均一性の項を加えたHasegawa–Wakatani方程式に基づいて局所的にシミュレーションされる。流体モデルではトロイダル幾何学が正しく考慮され、粘性、中性粒子との相互作用、レイノルズ応力、バイアスによる電流などの様々な源と損失が含まれる。予測された流れと測定された流れの良好な一致は、純粋な円筒幾何学において、流れのレイノルズ応力加速のモデル化された強度が過大評価されていることを示している。

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Zonal flow
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