1 - Nuclear Sciences and Applications - IAEA

IAEA-CN-50/A-VII-14
have arbitrary spatial profiles. Because the applied perturbation
is small QD(r) and S(r) are assumed to remain stationary
during Te profile evolution, allowing them to be combined into
e
an effective source, Seff(r) so that eq.1 becomes
dWe/dt=div|nexeVTe} + Seff,
Seff -divQp+S -2aexeV
(b) Non-linear model for xe in which Qe=-nexeVTe where
Xe(r)=xool|vTe|/(To/a)} 6 + xo{i +a(r/a) e }, (TQ/a) is a normalizing
parameter. The first term with xoo dominates everywhere except
near the plasma center where it is zero, and in the edge region
where global power balance requires that xe(r) increase sharply.
The second term with Xp adjusts these two end regions and is
negligible elsewhere. Thus in the measurement region, the nonlinear
xe is emphasized. This idealized non-linear Xo model
does not admit any thermal pinch. A non-linear xP model has
o.o
0.2 0.4 0.6 0.8
Minor Radius (r/a)
1.0 0.2 0.4 0.6 0.8
Minor Radius (r/a)
FIG. 1. Radial electron temperature and density profiles for OH {#12770) and NBI heated H-mode
(#15925) plasmas.
(a) Pre-pellet equilibrium electron density profile (1), calculated pellet deposition profile (3), and total
post-pellet density profile (2).
(b) Pre-pellet equilibrium electron temperature profile (1), and post-pellet Te profile (2). The circles
denote the measurements. The solid circles denote the points for which comparisons of measurement and
modelling of temperature evolution are made.
The profiles (a2) and (b2) are the initial conditions for the transport calculation.
1.0
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