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r=0.8 r=0.65 plasma confin r=0.5 ct fort champ ct faible cham OV/4-4 3D effects of edge magnetic field configuration on divertor/SOL transport and optimization possibilities for a future reactor M. Kobayashi 1 , Y. Feng 2 , O.


  1. r=0.8  r=0.65 plasma confiné r=0.5 côté fort champ côté faible cham OV/4-4 3D effects of edge magnetic field configuration on divertor/SOL transport and optimization possibilities for a future reactor M. Kobayashi 1 , Y. Feng 2 , O. Schmitz 3 , K. Ida 1 , T.E. Evans 4 , H. Frerichs 3 , F.L. Tabares 5 , Y. Liang 6 , Y. Corre 7 , Ph. Ghendrih 7 , G. Ciraolo 7 , A. Bader 3 , Y. Xu 8 , H.Y. Guo 4,9 , J.W. Coenen 6 , D. Reiter 6 , Z.Y. Cui 8 , U. Wenzel 2 , N. Asakura 10 , N. Ohno 11 , D. Tafalla 5 , S. Morita 1 , S. Masuzaki 1 , B.J. Peterson 1 , K. Itoh 1 and H. Yamada 1 1 National Institute for Fusion Science,322-6 Oroshi-cho, Toki 509-5292, Japan 2 Max-Planck-Institute fuer Plasmaphysik, D-17491 Greifswald, Germany 3 University of Wisconsin – Madison, WI, USA 4 General Atomics, P.O. Box 85608, San Diego, California 92186-5608, USA 5 Laboratorio Nacional de Fusion. Ciemat, Madrid, Spain 6 Forschungszentrum Jülich GmbH Institut für Energie- und Klimaforschung – Plasmaphysik, Jülich, Germany 7 IRFM, CEA Cadarache ST Paul Lez Durance, France 8 Southwestern Institute of Physics, P. O. Box 432, Chengdu 610041, China 9 Institute of Plasma Physics, CAS, Hefei, China 10 Japan Atomic Energy Agency, Rokkasho, Aomori 039-3212, Japan 11 Nagoya University, Nagoya 464 – 8603, Japan 1 25th IAEA Fusion Energy Conference (FEC 2014) St. Petersburg, Russia, 13-18 October 2014 25th IAEA Fusion Energy Conference (FEC 2014) St. Petersburg, Russia, 13-18 October 2014 OV/4-4

  2. Introduction: background, motivation & goal  Tokamak devices: 2D axi-symmetric configuration + symmetry breaking perturbation  3D configuration For edge transport control (Tore Supra, TEXTOR-DED), ELM mitigation/suppression (DIII-D, JET, AUG, MAST, NSTX…, ITER)  Helical devices: Divertor optimization in 3D magnetic configuration is inevitable  Recent progress of 3D numerical transport codes, systematic experiments, accumulation of experimental data  Identification of 3D effects on SOL/divertor transport, physical interpretation & key parameters that control the effects, will be useful for divertor optimization in future reactors, taking full advantage of 3D configurations. Multi-machine comparison between tokamak and helical devices. Impacts of 3D configuration on the divertor functions. 2 25th IAEA Fusion Energy Conference (FEC 2014) St. Petersburg, Russia, 13-18 October 2014 OV/4-4

  3. Outline of the talk 1.Introduction 2.Definition of 3D effects 3.Impact on divertor density regime 4.Impact on impurity transport 5.Impact on detachment control 6.Summary 3 25th IAEA Fusion Energy Conference (FEC 2014) St. Petersburg, Russia, 13-18 October 2014 OV/4-4

  4. Transport in 2D axi-symmetric configuration B field lines  // Poloidal  ┴ Several degrees Divertor plates Toroidal  B   5 8 // ~ 0 . 1 10 ~ 10  B  t 2   B          //   B t //-transport is dominant to deliver plasma quantity from upstream to divertor plates. 4 25th IAEA Fusion Energy Conference (FEC 2014) St. Petersburg, Russia, 13-18 October 2014 OV/4-4

  5. Magnetic field structure & “ 3 D effects” 3D effects: Competition between // and ⊥ transport , which originates from structural/topological change of magnetic field lines, such as openness of stochastic field lines , or formation of magnetic island . Field lines (stochastic, opened) Flux surface (magnetic island)  //  ┴  ┴  //  ┴  // r r Divertor plates  B     4 3 r 5 8 // 10 ~ 10 10 ~ 10  B  t 2   B     3D effect emerges r ~    //   B t B field is prescribed for present analysis.  Self-consistent inclusion of dynamics of B field change due to plasma response is future work. 5 OV/2-3 K.Ida et al. (Monday) EX/1-3 T. Evans et al. (Tuesday) 25th IAEA Fusion Energy Conference (FEC 2014) St. Petersburg, Russia, 13-18 October 2014 OV/4-4

  6. Impact on divertor density regime 6 25th IAEA Fusion Energy Conference (FEC 2014) St. Petersburg, Russia, 13-18 October 2014 OV/4-4

  7. Absence of high recycling regime prior to detachment in the 3D configurations In helical devices as well as tokamaks with RMP, the modest density dependence is often observed. High recycling in 2D tokamaks The modest dependence in 3D configuration ~    3    ~ 1 1 2 n n T n T n n n div up div up div up div up 2 10 TEXTOR-DED (m/n=6/2) W7-AS 0 10 TEXTOR-DED (m/n=6/2) 1 10 LHD LHD -1 10 1 10 1 10 n up (10 19 m -3 ) n up (10 19 m -3 ) Y. Feng et al., PPCF 44 (2002) 611. 7 M. Clever et al., Nucl. Fusion 52 (2012) 054005. S. Masuzaki et al., JNM 313-316 (2003) 852. 25th IAEA Fusion Energy Conference (FEC 2014) St. Petersburg, Russia, 13-18 October 2014 OV/4-4

  8. Effects of enhanced ⊥ interaction of momentum transport on divertor regime 2D axi-symmetric divertor n down is suppressed 1.0 Pressure conservation along flux tube (a) With Divertor plate n down (10 20 m -3 ) 0.8 -V // +V // (- f ) (+ f ) 0.6 radial 0.4 0.2 poloidal 0 0 0.2 0.4 0.6 0.8 1.0 3D configuration (e.g. stochastic layer, ID) n up (10 20 m -3 ) //-Momentum loss due to counter flows //-Temperature drop T up /T down becomes small Divertor plate Divertor plate 1000 (b) Open field lines radial T up , T down (eV) f m0 =5 T up +V // -V // 100 poloidal 10 T down  D L     m // //  loss of //-Momentum f   m 0 2 V  m // m 10 18 10 19 10 20 8 n up (m -3 ) Y. Feng et al., Nucl. Fusion 46 (2006) 807. 25th IAEA Fusion Energy Conference (FEC 2014) St. Petersburg, Russia, 13-18 October 2014 OV/4-4

  9. Multi-machine comparison for divertor density regime   ( 3 )   ⊥ loss of //-Momentum High recycling  n n magnetic Large m    div LCFS ( 3) 1 No High recycling  //-pressure drop p p Large 10 shear LCFS div LHD  (m/n~5/10, D L   strong shear) m // // 0   2 10 V  m // m W7-AS  m : ⊥ characteristic scale length for momentum (m/n=9/5) loss (e.g. ~2 p a/m) -1  10 m  HSX (m/n=4/4)  Replacement of //-energy flux with ⊥ -flux / (m/n=7/8)  reduction of //-conduction energy // Tore Supra m -2  10 (m/n=18/6)     TEXTOR-DED q n e e (m/n=12/4)  2 2 . 5 W7-X q ( B / B ) T TEXTOR-DED // e r t 0 e e (m/n=5/5) -3 (m/n=6/2) 10 DIII-D (m/n ≈ 10/3) TEXTOR-DED (m/n=3/1) ITER Operation domain for a -4 (m/n~10/3) 10 Large high recycling regime -3 -2 -1 0 1 10 10 10 10 10 2      q q e q /       q_perp_e / q_//_e mid   6 m // e  4 10 // e     collisionless      q  collisional m // e large B / r B t Possible Impacts on divertor functions due to the absence of high recycling regime: Pumping efficiency ↓, physical sputtering ↑, detach. onset density ↑ (!?) 9 Can be avoided in detached phase Preferable for core performance 25th IAEA Fusion Energy Conference (FEC 2014) St. Petersburg, Russia, 13-18 October 2014 OV/4-4

  10. Impact on Impurity screening 10 25th IAEA Fusion Energy Conference (FEC 2014) St. Petersburg, Russia, 13-18 October 2014 OV/4-4

  11. Impurity screening has been observed in many devices with edge stochastic layer Experiments with density scan shows better screening at high density (low Te) 15 Tore Supra 10 5 TEXTOR-DED C concentration (%) M. Lehnen et al., PPCF 47 (2005) B237. 0 1 0 0.5 1 n e edge (10 19 m -3 ) 0.5 Y. Corre et al., Nucl. Fusion 47 (2007) 119. (m/n=3/1) 0 2 2.5 3 3.5 LHD 19 -3 n e (10 19 m -3 ) 1 CVI/n e (a.u.) (~ n C5+ ) 0.5 0 0 2 4 6 8 11 19 -3 n e (10 19 m -3 ) 25th IAEA Fusion Energy Conference (FEC 2014) St. Petersburg, Russia, 13-18 October 2014 OV/4-4

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