Development of Vlasov code based on multi-moment scheme and its application to multi-scale turbulence

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New numerical scheme named as the Multi-Moment (MM) scheme is proposed. We have applied it to plasma kinetic simulation and demonstrated that the MM scheme is capable of keeping fine scale structure in high accuracy. Based on the MM scheme, we have also investigated the multi-scale interaction in magnetized confined fusion plasmas. We found that the small magnetic island has a stabilizing effect on the ion temperature gradient (ITG) driven instability, whereas the separation of the rational surfaces caused by the large island destabilizes the ITG mode.