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Kinetic effects of energeticparticles on
MagnetoHydroDynamicsinstabilities in tokamaks
plasmas
Guillaume Brochard1
Supervised by Dr. R.Dumont1, Dr. H.Lütjens2, Dr. X.Garbet1
1) IRFM, CEA Cadarache2) CPhT, Ecole Polytechnique| PAGE 1
| PAGE 2
Magnetic confinement fusion
Ø Fusion reactionsoccurs naturally in the Universe
Ø Fusion on Earthextremely challenging
Ø Magnetic confinement fusion, a promisingway forward
PhD subject
Ø Energetic particles perturb MHD stability
Ø Kinetic-MHD instabilities inducetransport of energetic particles
Ø Energetic particles are needed to sustain the plasma heat
Internal kink mode structure
Fishbone oscillations on density | 3
| 4
Ø Resonant interaction between the MHD mode and the particles orbitfrequencies
Ø Non-linear hybrid code needed to study theseinstabilites
Ø Linear verification againstanalytical theory
Kinetic-MHD theory
| 5
Linear verification of XTOR-K
Ø XTOR-K validatedagainst linearmodel/code MHD-K
Ø Validation completed at lower energies(100keV) due to intrinsic assumptions
Ø Quantitative study of the instability thresholdson ITER in process
| 6
Early non-linear results
Ø Early phase non-linear simulations retrieved experimentalfeatures (mode chirping, particle transport)
Ø Code currently being written to observe in phase space the non-linear evolution of the resonances
| PAGE 7
Conclusion
ØNon-linear hybrid code XTOR-K verified againstanalytical theory
ØStudy of the thresholds for the ITER reactorongoing
ØNumerical tools for the study of the non-linearresonances underway