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ITPA Topical Group Meetingon Steady State and Energetic Particles
St. Petersburg, Russia2003-07-15
Present Status of ITER Scenario Development Codein Japan
A. FukuyamaKyoto University
in collaboration with
H. Shirai (JAERI), T. Ozeki (JAERI), T. Takizuka (JAERI)M. Yagi (Kyushu U), N. Nakajima (NIFS),
H. Naitou (Yamaguchi U), Y. Nakamura (Kyoto U)
Contents
• Integrated Code Development
• Transport Simulation by TASK/TR
• ECCD Analysis by TASK/WR+FP
• Summay
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Integrated Code Development
• Integrated Burning Plasma Simulation Initiative
• Core code: Tokamak Transport Code
◦ TOPICS: JAERI Naka
◦ TASK: Kyoto Univ
• Present status and to do’s in 2003
◦ Benchmark test between TOPICS and TASK
◦ Comparison with JT-60U experimental data (transport models)
◦ Comparison with ITPA profile database
◦ Preliminary simulation of ITER scenario
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Objectives
Integrated Simulation of Burning Plasmas
• Frameworkfor collaboration of various plasma simulation
codes• New physics
in interaction between phenomena with differenttime and space scales
• Advanced techniqueof computer science, network computing and
visualization
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Framework
• Core Code– Based on Extended 1.5D Transport Code
• TASK/EQ, PL, TR, DP, WR, WM, FP (Kyoto U)– Analysis of Experimental Data (JT-60, ITPA)– Predictive Simulation for Burning Plasmas
• Common Interface for Data Transfer– Working group for interface specification– Interface with existing codes and modules
• Topics (JAERI), NTCC (USA)– Interface with experimental data base
• MDSPlus• Development and Enhancement of Modules• Elaborated User Interface
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New Physics
• Transport-MHD Hierarchical Model– Interaction between MHD and transport phenomena– Consistent modeling with plasma flow– Transport in the presence of magnetic island
• Core-SOL Interface– Modeling of edge transport barrier– Two-dimensional transport in edge region
• Interaction with Energetic Particles
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Transport-MHD Model
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Advanced Technique
• Parallel Computing– PC cluster– Vector-parallel super computer
• Network Computing– GRID computing– Effective use of computer resources
• Visualization– Parallel visualization– VisiGRID
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Integrated Code Development
• Integrated Burning Plasma Simulation Initiative
• Core code: Tokamak Transport Code
◦ TOPICS: JAERI Naka
◦ TASK : Kyoto Univ
• Present status and to do’s in 2003
◦ Benchmark test between TOPICS and TASK
◦ Comparison with JT-60U experimental data (transport models)
◦ Comparison with ITPA profile database
◦ Preliminary simulation of ITER scenario
![Page 9: Present Status of ITER Scenario Development Code in Japanfukuyama/pr/... · Benchmark test between TOPICS and TASK Comparison with JT-60U experimental data (transport models) Comparison](https://reader033.vdocuments.mx/reader033/viewer/2022060501/5f1b559cc9d2621040245a7a/html5/thumbnails/9.jpg)
Structure of TASK code
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Integrated Code Development
• Integrated Burning Plasma Simulation Initiative
• Core code: Tokamak Transport Code
◦ TOPICS: JAERI Naka
◦ TASK: Kyoto Univ
• Present status and to do’s in 2003
◦ Benchmark test between TOPICS and TASK
◦ Comparison with JT-60U experimental data (transport models)
◦ Comparison with ITPA profile database
◦ Preliminary simulation of ITER scenario
![Page 11: Present Status of ITER Scenario Development Code in Japanfukuyama/pr/... · Benchmark test between TOPICS and TASK Comparison with JT-60U experimental data (transport models) Comparison](https://reader033.vdocuments.mx/reader033/viewer/2022060501/5f1b559cc9d2621040245a7a/html5/thumbnails/11.jpg)
CDBM Turbulence Model
• Marginal Stability Condition (γ = 0)
χTB = F(s, α, κ, ωE1)α3/2 c2
ω2pe
vA
qR
Magnetic shear s≡ rq
dqdr
Pressure gradient α ≡ − q2Rdβdr
Magnetic curvature κ ≡ − rR
(1− 1
q2
)
E × B rotation shear ωE1 ≡ r2
svA
ddr
ErB
• Weak and negative magnetic shear,
Shafranov shift and
E × B rotation shear
reduce thermal diffusivity.
s− α dependence ofF(s, α, κ, ωE1)
0.0
0.5
1.0
1.5
2.0
2.5
-0.5 0.0 0.5 1.0
F ωE1
=0.2
ωE1
=0.3
ωE1
=0.1
ωE1
=0
s - α
Fitting Formula
F =
11 + G1ω
2E1
1√2(1− 2s′)(1− 2s′ + 3s′2)
for s′ = s− α < 0
11 + G1ω
2E1
1 + 9√
2s′5/2√2(1− 2s′ + 3s′2 + 2s′3)
for s′ = s− α > 0
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Simulation of ITB Formation
Comparison with JT-60U experimental data : on-going
Time Evolution
JT-60U EXP Simulation
t [s]
t [s]
t [s]
t [s]
t [s]
PNBIIp
I p [M
A] P
NB
I [MW
]
WdiaSn
Sn [10 16s -1]
Wdi
a [M
J]
n (0)
|
n (0.7)
|
n e [1
019 m
-3]
Te(0)Ti (0.34a)
T [k
eV]
βN
βNτΕ / τΕITER89-P
τ Ε /
τ ΕIT
ER
89-P
t [s]
t [s]
t [s]
t [s]
t [s]
WB WiWe
Ip IOHIBS
PNBI
ne (0) <ne>
TiTe<Te>
<Ti>
τ1τΕτ2
I p [M
A]
PN
BI [M
W]
Wdi
a [M
J]n e
[101
9 m-3
]T
[keV
]τ
Safety Factor
JT-60U EXP Simulation
r / a
q
r [m]
t = 5.2t = 4.4t = 3.6t = 2.8
t = 2.0
q
Ion Temperature
JT-60U EXP Simulation
T [k
eV]
r / a
T [k
eV]
r [m]
t = 2.2
t = 2.8t = 2.7
t = 2.6
t = 2.0t = 2.1
t = 2.5t = 2.4t = 2.3
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Simulation of Current Hole Formation
• Current ramp up: Ip = 0.5 −→ 1.0 MA
• Moderate heating: PH = 5 MW
• Current hole is formed.
• The formation is sensitive to the edge temperature.
.1*2+
./-*2+
.,0*2+
.*/+
-0
,0
.*/+
-0
,0
/.*0+
,1
-110.0*2+
1.-*2+
1,/*2+0./*1+
-2
,2
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Sustainment of Negative Shear Configuration
Off-Axis CD (H ' 1.2)
PLH/PIC = 12/2 MW
q
qj
[MA
/m2 ]
T [k
eV]
p [M
W/m
3 ]
r [m]
j tot
j LH
j BSj OH
TD
Te
p LH
p IC
Full CD (H ' 1.6)
PLH/PIC = 12/10.8 MW
qj
[MA
/m2 ]
T [k
eV]
p [M
W/m
3 ] p LHp IC
Te
TD
j tot
j LH
j BS
q
r [m]
Full CD + On-Axis CD
PLH/PIC/PEC = 12/10.8/0.2 MW
qj
[MA
/m2 ]
T [k
eV]
p [M
W/m
3 ]
r [m]
p LH
p IC
p EC
Te
TD
j tot
j LH
j BSj EC
q
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Analysis of ECCD by TASK Code
Poloidal angle 70◦
Toroidal angle 20◦
Initial beam radius 0.05 mInitial beam curvature 2 m
/ 0 1 2 3,/
,.
-
.
/
5*6
+
4*6+1 2 3 4 5
-0
-/
.
/
0
6+;,
6+;
,
7<= 8:9>
One Ray Nine Rays Beam Tracing
Ray/Beam Profile
+*.+ +*./ +*/+ +*// +*0++
/
,+
,/
-+
5
1234
+*.+ +*./ +*/+ +*// +*0++
/
,+
,/
-+
-/
5
1234
-,- -,/- -,0- -,1- -,2- .,---
-,-/
-,-0
-,-1
-,-2
-,.-
3*4
+
5
PabsProfile
+*.+ +*./ +*/+ +*// +*0++
/
,+
,/
-+ 1234
5+*.+ +*./ +*/+ +*// +*0++
/
,+
,/
-+
-/ 1234
5+*.+ +*./ +*/+ +*// +*0++
/
,+
,/
-+
-/1234
5
jCD Profile
-+0- -+01 -+1- -+11 -+2-
-+--.-
-+---3
-+---2
-+---0
-+---/
-
965
4,:
8/7
;
-+0- -+01 -+1- -+11 -+2--
-+---/
-+---0
-+---2
-+---3
-+--.-
-+--./
965
4,:
8/7
;
-+-0
-+-/
-+-.
--+1- -+12 -+2- -+22 -+3-
;
965
4,:
8/7
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Summary
• Integrated simulation codes, TOPICS and TASK, are under development. Bench-mark test between the codes and comparison with JT-60U data and ITPA profiledatabase in on-going.
• Improvement of physics models, such as interaction between transport and MHDphenomena, and transport model, is also going in parallel.
• Ballooning-type transport model which depends on s − α reproduces ITB andcurrent hole. The formation of the current hole is sensitive to the edge temper-ature through the current penetration time scale. Initial currnet profile control bylocalized edge heating may be possible.
• ECCD in ITER configuration was carried out by beam tracing method. Result ofbenchmark calculation will be reported within a month.