Kursus i Plasmafysik, OPL, Risø Juni , 2005 Turbulence, mixing and transport, June 21, 2005 Turbulence, mixing and transport in magnetized plasmas Ultimate goal: Predictive model Odd-Erik Garcia, Volker Naulin, Anders H. Nielsen, Jens Juul Rasmussen Turbulence is found to dominate the transport of plasma across the confining magnetic field. In the edge region turbulent transport is order of magnitude stronger than classical – collision dominated – transport. All lost plasma must go through the edge region! Numerical and theoretical studies of turbulence and transport! Purpose: Understanding turbulence and the associated anomalous transport in magnetized plasmas
Kursus i Plasmafysik, OPL, Risø Juni , 2005 Turbulence, mixing and transport, June 21, 2005 Content: A general description of turbulence Turbulence in fluids Turbulence and mixing/transport Turbulence in plasmas, quasi 2-dimensional Vortex structures Vortex structures and transport Plasma edge turbulence: modelling comparison with experiments Transport of impurities.
Kursus i Plasmafysik, OPL, Risø Juni , 2005 Turbulence, mixing and transport, June 21, 2005 Turbulence? Every day phenomena: nature --- administration Leonardo da Vinci : 1452 –1519van Gogh Turbolenza
Kursus i Plasmafysik, OPL, Risø Juni , 2005 Turbulence, mixing and transport, June 21, 2005 Turbulence? Irregularity and randomness Fluctuations on all scales E(k) ~ k -5/3 ”Unpredictability” Diffusivity, rapid mixing Energy cascade, input at large scales – dissipation at small scales Nonlinearity dominates A.N. Kolmogorov
Kursus i Plasmafysik, OPL, Risø Juni , 2005 Turbulence, mixing and transport, June 21, 2005 Turbulence: effective mixer Turbulence Laminar
Kursus i Plasmafysik, OPL, Risø Juni , 2005 Turbulence, mixing and transport, June 21, 2005 Turbulence in a magnetized plasma ITER
Kursus i Plasmafysik, OPL, Risø Juni , 2005 Turbulence, mixing and transport, June 21, 2005 Plasma turbulence The turbulence degrades the confinement: Turbulent transport is the main cause for loosing plasma across the magnetic field lines Numerical Tokamak, Dorland et al. Our turbulence studies are concentrated on edge turbulence Lost plasma has to go through the edge!
Kursus i Plasmafysik, OPL, Risø Juni , 2005 Turbulence, mixing and transport, June 21, 2005 Plasma Turbulence is ”2-Dim” Inverse cascade: energy concentrate at large scales. Vortical structures dominate the dynamics Vortex
Kursus i Plasmafysik, OPL, Risø Juni , 2005 Turbulence, mixing and transport, June 21, 2005 Self-organisation Coherent structures
Kursus i Plasmafysik, OPL, Risø Juni , 2005 Turbulence, mixing and transport, June 21, 2005 Dipole vortices Vortices of opposite vorticity do not cancel Red : positive vorticity Blue : negative vorticity
Kursus i Plasmafysik, OPL, Risø Juni , 2005 Turbulence, mixing and transport, June 21, 2005 Vortex merger Like signed vortices merge
Kursus i Plasmafysik, OPL, Risø Juni , 2005 Turbulence, mixing and transport, June 21, 2005 Vortices trap particles Dipole vortices Red : positive vorticity Blue : negative vorticity Passive tracer field Vortices : transport barriers
Kursus i Plasmafysik, OPL, Risø Juni , 2005 Turbulence, mixing and transport, June 21, Dimentional vortices
Kursus i Plasmafysik, OPL, Risø Juni , 2005 Turbulence, mixing and transport, June 21, 2005 Vortex ring Vortex ring bubble Silver ring
Kursus i Plasmafysik, OPL, Risø Juni , 2005 Turbulence, mixing and transport, June 21, 2005 Particle dispersion Potential Density Drift-wave turbulence
Kursus i Plasmafysik, OPL, Risø Juni , 2005 Turbulence, mixing and transport, June 21, 2005 Turbulent flux: Particle flux: Γ = n v = n v ExB Flux PDF The probability distribution function for the plasma flux across the magnetic field is strongly non-Gaussian, i.e., strong bursts are dominating!
Kursus i Plasmafysik, OPL, Risø Juni , 2005 Turbulence, mixing and transport, June 21, 2005 Modelling turbulence at the edge Two-dimensional dynamics: outboard midplane
Kursus i Plasmafysik, OPL, Risø Juni , 2005 Turbulence, mixing and transport, June 21, 2005 Modelling turbulence at the edge Global model 2D: self consistent evolution of pressure profile The source region is separated from the loss region, SOL
Kursus i Plasmafysik, OPL, Risø Juni , 2005 Turbulence, mixing and transport, June 21, 2005 Particle flux at the edge Strong possitive flux events! Pdf of edge particle flux
Kursus i Plasmafysik, OPL, Risø Juni , 2005 Turbulence, mixing and transport, June 21, 2005 Edge turbulence transport in JET Large intermittent burst B. Gonçalves: 11 th European Fusion Physics Workshop, Heraklion, Crete 8-11 Dec Pdf of flux
Kursus i Plasmafysik, OPL, Risø Juni , 2005 Turbulence, mixing and transport, June 21, 2005 Edge transport events Bursts of density and heat are released and propagate far out in the SOL Strong lasting effect on plasma facing components
Kursus i Plasmafysik, OPL, Risø Juni , 2005 Turbulence, mixing and transport, June 21, 2005 Blobs in Experiment Alcator C-Mod ( O. Grulke et al 2004) H-alpha light: proportional to density. CCD: Looking along B-field
Kursus i Plasmafysik, OPL, Risø Juni , 2005 Turbulence, mixing and transport, June 21, 2005 Blobs aligned with B-field Mast, Culham UK (Kirk et al 2005) H-alpha light,
Kursus i Plasmafysik, OPL, Risø Juni , 2005 Turbulence, mixing and transport, June 21, 2005 Impurity transport. 3-Dim simulations, full geometry, flux-tube coordinated Global variations self-consistent profiles Turbulent transport statistics; transport barriers Impurities are also transported by the turbulence. Modelled by passive tracer transport: e.g., trace tritium experiments Poloidal projection of 3-D turbulent field
Kursus i Plasmafysik, OPL, Risø Juni , 2005 Turbulence, mixing and transport, June 21, 2005 Dynamics of impurity density Projected from a 3D fluxtube simulation onto a poloidal cut Timespan: 120 μs Poloidal Asymmetry in transport, pinch
Kursus i Plasmafysik, OPL, Risø Juni , 2005 Turbulence, mixing and transport, June 21, 2005 Film blobs: Summary: We are approaching models with results that can be compared directly with experiments! In hot plasmas: Dynamics of fast ions, alphas etc. Confinement! Spændende Eksamensprojekter og PhD Projekter. Med ITER mange nye udfordringer.