Examples of using Langevin equation to solve FP equation
ASCOTRacetrack for tokamak particles
Ab initio particle loading– Fusion alphas (thermonuclear, beam-target, beam-beam)– NBI-generated ions
Realistic orbit tracing– Guiding center (4th order RK, w/ 5th order error check, fast)– gyro orbit (Leap Frog, accurate, slow)
Fully 3D – 3D magnetic field– 3D Wall
Comprehensive interactions– Coulomb collisions– (Turbulent transport)– Models for relevant MHD:
• NTM-type magnetic islands• Alfven Eigenmodes
ASCOT4Technical details
Parallelization– MPI parallel testruns (HELIOS) with 16384 cores– Production runs with 4096
File I/O– Single process does all file I/O– HDF5 format, partly ASCII– Processing of data w/ MATLAB
Magnetic field interpolation– PSPLINEs
Programming approach– ASCOT completely rewritten in 2012-13– Modular F90– Only 2 libraries reguired: HDF5 & MPI
FUSION ALPHAS & ITER 1ST WALL
Axisymmetry vs ripple vs FIFusion alphas in 15MA scenario
Axisymmetric B field With bare rippleRipple w/ FI’s
Also wall shape matters...
Original wall w/ 2 limiters Present wall design w/ poloidally extended ’continuous’ limiters
TBM MOCK-UP EXP’S AT DIII-D
Ripple map w/ and w/o TBM field bump
TBM field bump
Max field perturbation along separatrix close to 5% with TBM mock-up
)()(
)()(),(
minmax
minmax
BB
BBzR
Variation of the toroidal field• with the TBM coils• in the absence of TBM coils
BT
φ
TF ripple
NBI-generated deuterons in DIII-D discharges w/ TBM mock-up
limiters
TBM mock-up coils
Beam-target DD reaction T(1 MeV)
Guiding-center following clearly not applicable follow full gyro motion (FO integration)
DD DT n (14 MeV)
Experimental neutron flux in the TBM mock-up experiment
Fraction of confined tritium in the plasma as calculated by ASCOT
M. Schaffer & al, Nucl. Fusion 51 (2011) 103028
IMPURITY INJECTION EXP’S @AUG
The case of missing 13C in AUG
Besides fast ions, tritium retention is a hot issue for ITER Global impurity migration studies in AUG by injecting 13CH4 post mortem analysis of samples from selected wall tiles ->
90% missing?? Common assumption: axisymmetric 13C deposition ASCOT simulation w/ a 3D wall and magnetic field: notable
non-axisymmetry in 13C deposition (limiters, ICRH antennas, …)
[J. Miettunen et al., NF 52 (2012) 032001]