Abstract

The fundamental nature of turbulent density fluctuations in standard Wendelstein 7-X (W7-X) stellarator discharges is investigated experimentally via phase contrast imaging (PCI) in combination with gyrokinetic simulations with the code GENE. We find that density fluctuations are ion-temperature-gradient-driven and radially localised in the outer half of the plasma. It is shown that the line-integrated PCI measurements cover the right range of wavenumbers and a favourable toroidal and poloidal location to capture some of the strongest density fluctuations in W7-X. Due to the radial localisation of fluctuations, measured wavenumber–frequency spectra exhibit a dominant phase velocity, which can be related to the$\boldsymbol {E\times B}$rotation velocity at the radial position of a well in the neoclassical radial electric field. The match is robust against variations of heating power and line-integrated density, which is partly due to the localisation of fluctuations and partly due to effects of the radial gradient in the$\boldsymbol {E\times B}$velocity profile on the wavenumber–frequency spectrum. The latter effect is studied with a newly built synthetic PCI diagnostic and global gyrokinetic simulations with GENE-3D.

Highlights

  • The Wendelstein 7-X (W7-X) stellarator is optimised for reduced neoclassical transport (Beidler et al 1990)

  • We find that radially localised ITG-driven turbulence at the Er-well around reff/a = 0.75 characterise W7-X density fluctuations in regular discharge scenarios

  • The dominance of ITG modes has been shown by linear gyrokinetic simulations and is supported by the experimental observation that the fluctuations are predominantly measured in a wavenumber regime which is typical for ITG turbulence

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Summary

Introduction

The Wendelstein 7-X (W7-X) stellarator is optimised for reduced neoclassical transport (Beidler et al 1990). A significant fraction of the transport in this type of discharge is anomalous (Geiger et al 2019; Klinger et al 2019) This finding is supported by the observation of improved energy confinement in scenarios during which turbulence is strongly suppressed, e.g. in the case of central plasma density profile peaking due to pellet injections (Klinger et al 2019; Wolf et al 2019). Radial localisation of the line-integrated PCI measurement is achieved by matching the measured phase velocity with the E × B rotation velocity profile from neoclassical simulations This includes modelling the effect of the E × B rotation on the measured spectra with a newly built synthetic PCI diagnostic employing a simplified model for plasma rotation on top of global gyrokinetic simulation results by GENE-3D (Maurer et al 2020).

Experimental set-up
Measurements
Neoclassical radial electric field
Comparison of velocities
Synthetic PCI diagnostic
Gyrokinetic simulations
Linear gyrokinetic flux-tube simulations
Nonlinear gyrokinetic flux-tube simulations
Findings
Discussion and conclusion

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