Stability of the explicit scheme dxp dt. = vp dvp dt. = q m. Ep. 1+ e. 2 ε0mk. 2 k ⋅∇f0 ω − k ⋅v dv = 0. ∫ xp n+1 − xp n. Δt. = vp n+1/2 vp n+1/2 −vp n−1/2. Δt. = q.
Kinetic Approach to microscopic-macroscopic coupling in fusion plasmas Giovanni Lapenta Plasma Theory Group, Theoretical Division, LANL, USA
Collaborators: J.U Brackbill (Particle Solutions), P. Ricci, K. Noguchi
Motivation: simulation of burning plasmas
Lavender Field, Provence, near ITER
Outline
1. Multiscale processes in plasmas, the case of ITER 2. The implicit moment PIC method 3. Benchmarks 4. Applications: – 3D reconnection – Reconnection in low beta plasmas
1 – Multiple scales Fusion Devices Space Role of micro-macro coupling
ITER: Multiscale - Multiphysics
Ions: D @ 10keV α: fusion generated Source: ITER web site