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2D properties of core turbulence on DIII-D and comparison to gyrokinetic simulations
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Image of FIG. 1.
FIG. 1.

(Color online) Time traces showing plasma current and neutral beam injected power (a), and (b), ion temperature (c), electron temperature (d), toroidal velocity (e), and line-averaged electron density (f). Time of interest for later analysis shown between dashed vertical lines.

Image of FIG. 2.
FIG. 2.

(Color online) Profiles showing ion and electron temperature, red curve and black curve, respectively (a), electron density (b), and angular toroidal rotation frequency (c).

Image of FIG. 3.
FIG. 3.

(Color online) Equilibrium reconstruction (a), with enlarged view showing locations of BES channels for seven repeated discharges used in this study (b). Power spectra for three radial locations in scan (c).

Image of FIG. 4.
FIG. 4.

(Color online) Two pair time-lag correlations. Auto-correlation (black square), cross correlation of poloidally separated channels (red diamond), cross-correlation of radially separate channels (green circle). The envelope of each is denoted by the dashed lines.

Image of FIG. 5.
FIG. 5.

(Color online) (a) 2D correlation function constructed from multiple two-pair correlations at with a common reference channel at . Gray crosses indicate center of measurement (a). (b) Image is minimum curvature spline from data above. Contour lines represent fitted model function. Closely separated lines indicate the uncertainty.

Image of FIG. 6.
FIG. 6.

(Color online) 1D slices of 2D correlation function in radial and vertical directions at increasing separations, as indicated, where reference channel is at .

Image of FIG. 7.
FIG. 7.

(Color online) (a) Turbulence profile showing radially and frequency resolved spectrogram, where boxes indicate peak of spectrum and crosses indicate centroid, (b) integrated density fluctuation levels, (c) normalize poloidal wavenumber spectrum, (d) velocity calculated via radial force balance (black lines), turbulence group velocity (red points), and diamagnetic velocity (dash-dot-dash), and (e) Hahm-Burrell shear rate (black lines) and turbulence decorrelation rate (red points), where the shaded area indicates limited sensitivity.

Image of FIG. 8.
FIG. 8.

(Color online) Poloidal wavenumber-resolved power spectra at (a) and (b) .

Image of FIG. 9.
FIG. 9.

(Color online) GAM fluctuation spectrum profile (a), levels for GAM component (b), and seven frequency spectra over the radial extent of the GAM (c).

Image of FIG. 10.
FIG. 10.

(Color online) Point spread functions (top row) and raw 2D Correlation function fits (bottom row) at r/a = 0.5 [(a) and (e)], [(b) and (f)], [(c) and (g)], and r/a = 0.85 [(d) and (h)].

Image of FIG. 11.
FIG. 11.

(Color online) Raw (top row) and compensated (bottom row) 2D wavenumber functions. Gray regions indicate regions outside of measurement sensitivity, estimated as 15% level of STF at [(a) and (e)], [(b) and (f)], [(c) and (g)], and [(d) and (h)].

Image of FIG. 12.
FIG. 12.

(Color online) 1D slices of raw (black lines) and compensated (red/gray lines) 2D wavenumber spectra that pass through the maximum of the raw 2D spectrum, which is indicated by the horizontal and vertical lines in Fig. 10.

Image of FIG. 13.
FIG. 13.

(Color online) Raw and compensated: radial correlation length (a), poloidal correlation length (b), and tilt angle (c). Dashed lines in (a) and (b) are factors (9.0 and 12.2, respectively) of .

Image of FIG. 14.
FIG. 14.

(Color online) Frequency resolved spectra from BES (red/gray) and GYRO with synthetic BES diagnostic applied (black lines) at (a) and (b) . [Reprinted with permission from C. Holland et al., Phys. Plasmas 16, 052301 (2009). Copyright © 2010, American Institute of Physics.]

Image of FIG. 15.
FIG. 15.

(Color online) Density fluctuation correlation functions via GYRO simulations at [(a) and (c)] and [(b) and (d)] for the raw output [(a) and (b)] and with the synthetic BES diagnostic applied [(c) and (d)].

Image of FIG. 16.
FIG. 16.

(Color online) Comparison of 2D wavenumber structure via GYRO simulations (black lines) and BES measurements (red/gray lines) at [(a) and (c)] and [(b) and (d)].

Image of FIG. 17.
FIG. 17.

(Color online) Maximum linear growth rates calculated from TGLF, and region of peak wavenumber spectra as measured with BES (shaded area).


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Table I.


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Table II.



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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: 2D properties of core turbulence on DIII-D and comparison to gyrokinetic simulations