ELSEVIER Journal of Nuclear Materials 220-222 (t995) 410-414
Impurity transport modelling and simulation analysis
of impurity behavior in JT-60U
K. Shimizu, H. Kubo, T. Takizuka, M. Azumi, M. Shimada, S. Tsuji, N. Hosogane,
T. Sugie, A. Sakasai, N. Asakura, S. Higashijima
Japan Atomic Energy Research Institute, Naka Fusion Research Establishment, Naka-Machi, Naka-Gun, Ibaraki-Ken, 311-01, Japan
Abstract
A two-dimensional impurity code based on Monte Carlo techniques (IMPMC) has been developed, in order to
study the impurity behavior in the divertor plasma. The model includes (1) impurity generation at the divertor plate,
(2) ionization of sputtered neutrals, (3) parallel motion of impurity ions along field lines, (4) Coulomb scattering, (5)
cross-field diffusion, and (6) atomic processes. This model is applied to the carbon impurity behavior in a JT-60U
NB heated plasma. The impurity generation mechanism, the effect of the thermal force on impurity shielding, and
the contribution of charge exchange recombination to C 3+ ion density near the plates are clarified. The measured
spatial profile of the CIV line indicates that the diffusion coefficient, D ± is around 1 m2/s. The ion temperature
measured by Doppler broadening of the CIV line is found to be shifted to lower temperature side due to the
overspread distribution of C 3+ ions in the SOL by the thermal force.
1. Introduction
Analysis of impurity transport in the divertor region
involves a difficult requirement that the motion of
impurity ions contains various characteristic times, i.e.
diffusion time, parallel transit time along the magnetic
field line, ionization time, recombination time and
collision time between the impurity ions and the back-
ground particles. Since such characteristic times
strongly depend on the plasma parameters, the fluid
description [1,2] cannot always be applied accurately to
the impurity transport in the SOL. The Monte Carlo
approach [3,4] is beneficial for incorporating the paral-
lel motion and various collisional effects, and for mod-
elling impurity generation and the interactions be-
tween impurities and walls.
A two-dimensional impurity code based on Monte
Carlo techniques (IMPMC) has been developed. A
feature of the IMPMC code is to simulate the diffusion
process in velocity space for Coulomb scattering, in-
stead of the classical parallel diffusion model which
was used in the DIVIMP code [4]. (The parallel diffu-
sion model is restricted to the high collisionality plasma
[5].) And the impurity transport can be calculated
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under an MHD equilibrium configuration with real
divertor plates and wall. This treatment facilitates a
detailed comparison of simulation results with experi-
mentally measured quantities. The model is described
in the next section. The simulation results for the
carbon impurity behavior in the NB heated divertor
plasma of JT-60U are presented in Section 3. Conclu-
sions are given in Section 4.
2. Impurity transport modelling
We solve the kinetic equations with the Coulomb
collision operator for the distribution functions
fz(r, v, t) using the orbit following Monte Carlo tech-
nique.
(1) Impurity generation: impurity neutrals are origi-
nally sputtered from a divertor plate by deuterium
physical sputtering. The sputtered outflux is deter-
mined by FD~C=nDdCsYD, where Yo ----JD'rOVD ..... 1
(E D) is the sputtering yield, fo is an enhancement
factor of the normal incidence sputtering yield Y~, .... 1,
in order to take account of angular dependence, E D is
the incident energy, and C s the sound velocity of
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