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On the mechanism for edge localized mode mitigation by supersonic molecular beam injection
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Image of FIG. 1.
FIG. 1.

S curve analogy of automata rules. Dashed bold line means the hard limit and dashed lines are critical slope for the unstable range.

Image of FIG. 2.
FIG. 2.

Figure explaining ELM trajectory of types I, II, and III in the pressure gradient and current density j. Inner area of black thick line is stable region from peeling-ballooning instabilities. Dashed lines and arrows indicate possible trajectory of indicated ELM type.

Image of FIG. 3.
FIG. 3.

AGI pulse timing diagram.

Image of FIG. 4.
FIG. 4.

(Color) Space time pattern of the pile (a) without injection and (b) with injection: white cells are stable, black cells are unstable, and green cells are hard limit unstable. Large size ELMs without injection become smaller, more frequent ELMs.

Image of FIG. 5.
FIG. 5.

Formation of two different toppling cascade types, (a) void and (b) clump type. Arrow shows the propagation direction of toppling cascade.

Image of FIG. 6.
FIG. 6.

(Color online) Avalanche size distribution of with (dashed line) and without (solid line) SMBI.

Image of FIG. 7.
FIG. 7.

(Color) Mitigated ELMs as shown in the space time pattern of (a) small ELMs and (b) fragments of a big ELM.

Image of FIG. 8.
FIG. 8.

(Color online) Averaged profile slope without (solid) and with (dashed) injection.

Image of FIG. 9.
FIG. 9.

(Color) (a) Avalanche size distribution for various injection locations and (b) space time pattern for pedestal top injection.

Image of FIG. 10.
FIG. 10.

(Color) Avalanche size distribution and averaged slope of two different injection strength: (a), (b) 21 grains and (c), (d) 11 grains. Colors indicate the spatial extent of injection with center at i = 80.

Image of FIG. 11.
FIG. 11.

(Color) Averaged (a) frequency and (b) amplitude of ELMs for various injection location and number of injection grains. Number of injected grains normalized by averaged pedestal density is shown by the vertical axis. Injection location is represented by the horizontal axis. The amplitude and frequency indicated by color contour are normalized by those values without AGI.

Image of FIG. 12.
FIG. 12.

Edge flux (a) without and (b) with additional grain injection.

Image of FIG. 13.
FIG. 13.

(Color) Time evolution of slopes (a) during pulsed injection and (b) after the cessation of pulsed injection. Different colors indicate different time steps.

Image of FIG. 14.
FIG. 14.

Influence time trend with varying baseline deposition rate. Influence time is normalized by ELM period for the case.

Image of FIG. 15.
FIG. 15.

(Color) Averaged influence time for varying injection location and strength of shaped AGI.

Image of FIG. 16.
FIG. 16.

(Color) Averaged (a) amplitude and (b) frequency for repetitive injection case plotted versus injection location.

Image of FIG. 17.
FIG. 17.

Edge flux for repetitive pulse injection. The black thick lines indicate times for AGI pulse injection.


Generic image for table
Table I.

Analogy between transport model and cellular automata model.

Generic image for table
Table II.

Comparison between experimental and model results.


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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: On the mechanism for edge localized mode mitigation by supersonic molecular beam injection