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Importance of centrifugal effects for the internal kink mode stability in toroidally rotating tokamak plasmas
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10.1063/1.3263683
/content/aip/journal/pop/16/11/10.1063/1.3263683
http://aip.metastore.ingenta.com/content/aip/journal/pop/16/11/10.1063/1.3263683
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Growth rate vs rotation velocity at the axis calculated for a self-consistent equilibrium and for a nonself-consistent equilibrium . The dashed curves show the analytical predictions from Eq. (20) while the symbols give the numerical results obtained with the two different numerical codes indicated. The plasma parameters are , , , , and and the density and rotation profiles are both parabolic. The dotted curve shows the BV frequency in Eq. (1), and stabilization in the consistent case is seen to occur approximately when this frequency exceeds the static growth rate.

Image of FIG. 2.
FIG. 2.

Growth rate vs rotation velocity at the axis for an inconsistent equilibrium with , , , and different . The density is flat and the rotation profile parabolic. In addition, for the growth rate is computed also for the rotation profile , shown by the squares. The dashed curves are calculated analytically and the symbols with MISHKA-F.

Image of FIG. 3.
FIG. 3.

Growth rate vs rotation velocity at the axis for two combinations of the profiles of and such that the flow does not modify the static growth rate when an inconsistent equilibrium is used. For comparison, the corresponding analytical growth rates in the consistent case are also shown for these two combinations of profiles, together with the CASTOR-FLOW result for the case when the profiles of both and are flat. The plasma parameters are , , , , and . The dashed curves are calculated analytically and the symbols with the numerical codes indicated.

Image of FIG. 4.
FIG. 4.

Growth rate vs rotation velocity at the axis in the case of a flat density and a parabolic rotation profile with . Other plasma parameters are , , , and . Here, stabilization occurs both for inconsistent and consistent equilibria. In the intermediate case and the stabilizing GAM frequency is neglected but the stabilizing effect from the enhanced Shafranov shift in Eq. (2b) is included. The dashed curves are calculated analytically and the symbols with the numerical codes indicated.

Image of FIG. 5.
FIG. 5.

Growth rate vs rotation velocity at the axis in the case of a flat density and a parabolic rotation profile with . Other plasma parameters are , , , and and stabilization occurs both for inconsistent and consistent equilibria. The intermediate case and is simulated numerically by running CASTOR-FLOW with the adiabatic constant , and the result is shown by the triangles. The dashed curves are calculated analytically and the symbols with the numerical codes indicated.

Image of FIG. 6.
FIG. 6.

Growth rate vs rotation velocity at the axis for two combinations of the profiles of and in a plasma with , , , , and . Results both for inconsistent (upper curves) and consistent (lower curves) equilibria are shown. The dashed curves are calculated analytically and the symbols with the numerical codes indicated.

Image of FIG. 7.
FIG. 7.

Critical rotation velocity required for stabilization of the kink mode vs the inverse aspect ratio . is shown for the four combinations of the profiles of and indicated and is calculated from Eq. (20) using , , , , and .

Image of FIG. 8.
FIG. 8.

Growth rate vs rotation velocity at the axis for four different combinations of the profiles of and in a plasma with , , , , and . The flow is treated consistently and the solid lines show CASTOR-FLOW results whereas the dashed lines are predicted by the analytical theory.

Image of FIG. 9.
FIG. 9.

The density and rotation profiles in MAST discharge 18 416.

Image of FIG. 10.
FIG. 10.

The effect of toroidal rotation on the internal kink mode growth rate in the MAST equilibrium in Fig. 9, calculated with either static or flowing equilibria. It can be seen that including flow in the equilibrium has a significant effect on the stability boundary for this MAST plasma.

Image of FIG. 11.
FIG. 11.

Density, rotation, and -profiles for a typical conventional aspect ratio tokamak plasma.

Image of FIG. 12.
FIG. 12.

The effect of toroidal rotation on the internal kink mode growth rate for the equilibrium profiles shown in Fig. 11, calculated with both the static (MISHKA-F) and flowing (CASTOR-FLOW) treatments. It can be seen that including flow in the equilibrium has a significant effect on the stability boundary for this kind of equilibrium.

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/content/aip/journal/pop/16/11/10.1063/1.3263683
2009-11-25
2014-04-23
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Importance of centrifugal effects for the internal kink mode stability in toroidally rotating tokamak plasmas
http://aip.metastore.ingenta.com/content/aip/journal/pop/16/11/10.1063/1.3263683
10.1063/1.3263683
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