Open Access
Issue
EPJ Web Conf.
Volume 346, 2026
25th Topical Conference on Radio-Frequency Power in Plasmas (RFPPC2025)
Article Number 01025
Number of page(s) 7
Section Theory and Modeling of Radio-Frequency Waves in Plasmas
DOI https://doi.org/10.1051/epjconf/202634601025
Published online 07 January 2026
  1. Y. Feng, F. Sardei, P. Grigull, K. McCormick, J. Kisslinger, D. Reiter, Y. Igitkhanov, Transport in island divertors: physics, 3D modelling and-comparison to first experiments on W7-AS, Plasma Physics and Controlled Fusion 44, 611 (2002). https://doi.org/10.1088/0741-3335/44/5/308 [Google Scholar]
  2. D. Reiter, M. Baelmans, P. Boerner, The EIRENE and B2-EIRENE codes, Fusion science and technology 47, 172 (2005). https://doi.org/10.13182/FST47-172 [Google Scholar]
  3. R. Simonini, G. Corrigan, G. Radford, J. Spence, A. Taroni, Models and Numerics in the Multi-Fluid 2-D Edge Plasma Code EDGE2D/U, Contributions to Plasma Physics 34, 368 (1994). https://doi.org/10.1002/ctpp.2150340242 [Google Scholar]
  4. W. Dekeyser, P. Boerner, S. Voskoboynikov, V. Rozhanksy, I. Senichenkov, L. Kaveeva, I. Veselova, E. Vekshina, X. Bonnin, R. Pitts et al., Plasma edge simulations including realistic wall geometry with SOLPS-ITER, Nuclear Materials and Energy 27, 100999 (2021). https://doi.org/10.1016/j.nme.2021.100999 [Google Scholar]
  5. J. Leddy, B. Dudson, M. Romanelli, B. Shanahan, N. Walkden, A novel flexible field-aligned coordinate system for tokamak edge plasma simulation, Computer Physics Communications 212, 59 (2017). https://doi.org/10.1016/j.cpc.2016.10.009 [Google Scholar]
  6. G. Piraccini, M. Capasso, M. Scotto D’Abusco, G. Giorgiani, F. Schwander, E. Serre, H. Bufferand, G. Ciraolo, P. Tamain, Recent upgrades in a 2D turbulent transport solver based on a hybrid discontinuous galerkin method for the simulation of fusion plasma in tokamak, Fluids 7, 63 (2022). https://doi.org/10.3390/fluids7020063 [Google Scholar]
  7. S.C. Jardin, A triangular finite element with firstderivative continuity applied to fusion mhd applications, Journal of Computational Physics 200, 133 (2004). https://doi.org/10.1016/j.jcp.2004.04.004 [Google Scholar]
  8. R. Anderson, J. Andrej, A. Barker, J. Bramwell, J.S. Camier, J. Cerveny, V. Dobrev, Y. Dudouit, A. Fisher, T. Kolev et al., MFEM: A modular finite element methods library, Computers & Mathematics with Applications 81, 42 (2021). https://doi.org/10.1016/j.camwa.2020.06.009 [Google Scholar]
  9. mfem, MFEM: Modular finite element methods [Software], https://mfem.org [Google Scholar]
  10. G. Giorgiani, H. Bufferand, G. Ciraolo, P. Ghendrih, F. Schwander, E. Serre, P. Tamain, A hybrid discontinuous Galerkin method for tokamak edge plasma simulations in global realistic geometry, Journal of Computational Physics 374, 515 (2018). https://doi.org/10.1016/j.jcp.2018.07.028 [Google Scholar]
  11. G. Giorgiani, H. Bufferand, G. Ciraolo, E. Serre, P. Tamain, A magnetic-field independent approach for strongly anisotropic equations arising plasma-edge transport simulations, Nuclear Materials and Energy 19, 340 (2019). https://doi.org/10.1016/j.nme.2019.03.002 [Google Scholar]
  12. G. Giorgiani, H. Bufferand, F. Schwander, E. Serre, P. Tamain, A high-order non field-aligned approach for the discretization of strongly anisotropic diffusion operators in magnetic fusion, Computer Physics Communications 254, 107375 (2020). https://doi.org/10.1016/j.cpc.2020.107375 [Google Scholar]
  13. M.S. d’Abusco, G. Giorgiani, J.F. Artaud, H. Bufferand, G. Ciraolo, P. Ghendrih, E. Serre, P. Tamain, Core-edge 2D fluid modeling of full tokamak discharge with varying magnetic equilibrium: from WEST start-up to ramp-down, Nuclear Fusion 62, 086002 (2022). https://doi.org/10.1088/1741-4326/ac47ad [Google Scholar]
  14. G. Piraccini, F. Schwander, E. Serre, G. Giorgiani, M. Scotto D’Abusco, Spatial adaptivity in SOLEDGE3X-HDG for edge plasma simulations in versatile magnetic and reactor geometries, Contributions to Plasma Physics 62, e202100185 (2022). https://doi.org/10.1002/ctpp.202100185 [Google Scholar]
  15. C. Migliore, M. Stowell, J. Wright, P. Bonoli, Development of impedance sheath boundary condition in Stix finite element RF code, AIP Conference Proceedings 2984 (2023). https://doi.org/10.1063/5.0162402 [Google Scholar]
  16. C. Migliore, J. Wright, M. Stowell, P. Bonoli, Using the Stix finite element RF code to investigate operation optimization of the ICRF antenna on Alcator C-Mod, Nuclear Fusion 63, 106006 (2023). https://doi.org/10.1088/1741-4326/acee11 [Google Scholar]
  17. M. Martin, W. Gekelman, B. Van Compernolle, P. Pribyl, T. Carter, Experimental observation of convective cell formation due to a fast wave antenna in the large plasma device, Physical Review Letters 119, 205002 (2017). https://doi.org/10.1103/PhysRevLett.119.205002 [Google Scholar]
  18. B. Van Compernolle, M. Martin, W. Gekelman, P. Pribyl, T. Carter, Fast wave experiments in LAPD in support of fusion, Preprint: Proc. 2018 IAEA Fusion Energy Conference, Gandhinagar [EX/P6-30] (2018). [Google Scholar]
  19. C. Lau, Y. Lin, G.R. Hanson, G. Wallace, S.J. Wukitch, B. LaBombard, R. Ochoukov, S. Shiraiwa, J. Terry, J. Wilgen, LH and ICRF driven scrape-off-layer density modifications and their impact on LH coupling on Alcator C-Mod, AIP Conference Proceedings 1580, 410 (2014). https://doi.org/10.1063/1.4864575 [Google Scholar]
  20. D. D’Ippolito, J. Myra, J. Jacquinot, M. Bures, Radio-frequency-sheath-driven edge plasma convection and interaction with the H mode, Physics of Fluids B: Plasma Physics 5, 3603 (1993). https://doi.org/10.1063/1.860832 [Google Scholar]
  21. W. Zhang, Y. Feng, J.M. Noterdaeme, V. Bobkov, L. Colas, D. Coster, T. Lunt, R. Bilato, J. Jacquot, R. Ochoukov et al., Modelling of the ICRF induced E B convection in the scrape-off-layer of ASDEX Upgrade, Plasma Physics and Controlled Fusion 58, 095005 (2016). https://doi.org/10.1088/0741-3335/58/9/095005 [Google Scholar]
  22. W. Gekelman, R. Stenzel, Localized fields and density perturbations due to self-focusing of nonlinear lower-hybrid waves, Physical Review Letters 35, 1708 (1975). https://doi.org/10.1103/PhysRevLett.35.1708 [Google Scholar]
  23. G. Morales, Coupling of lower-hybrid radiation at the plasma edge, The Physics of Fluids 20, 1164 (1977). https://doi.org/10.1063/1.861678 [Google Scholar]
  24. V. Chan, S. Chiu, Wave-plasma coupling at the lower hybrid frequency, Phys. Fluids;(United States) 22 (1979). https://doi.org/10.1063/1.862808 [Google Scholar]
  25. A. Fukuyama, T. Morishita, Y. Furutani, Nonlinear coupling of the slow wave structure with the lower-hybrid waves near the plasma surface, Plasma Phys. 22, 565 (1980). https://doi.org/10.1088/0032-1028/22/6/006 [Google Scholar]
  26. O. Meneghini, C. Lau, S. Shiraiwa, G.M. Wallace, R.R. Parker, B.L. LaBombard, I.C. Faust, J.R. Wilson, S.J. Wukitch, SOL Effects on LH Wave Coupling and Current Drive Performance on Alcator C-Mod, AIP Conference Proceedings 1406, 411 (2011). https://doi.org/10.1063/1.3665004 [Google Scholar]
  27. M. Preynas, M. Goniche, J. Hillairet, X. Litaudon, A. Ekedahl, L. Colas, Experimental characterization and modelling of non-linear coupling of the lower hybrid current drive power on Tore Supra, Nuclear Fusion 53, 013012 (2013). https://doi.org/10.1088/0029-5515/53/1/013012 [Google Scholar]
  28. R.L. Barnett, D.L. Green, C.L. Waters, J. Lore, D. Smithe, J.R. Myra, RF-transpond: A 1D coupled cold plasma wave and plasma transport model for ponderomotive force driven density modification parallel to B0, Computer Physics Communications 274, 108286 (2022). https://doi.org/10.1016/j.cpc.2022.108286 [Google Scholar]
  29. R. Schneider, X. Bonnin, K. Borrass, D. Coster, H. Kastelewicz, D. Reiter, V. Rozhansky, B. Braams, Plasma edge physics with B2-Eirene, Contributions to Plasma Physics 46, 3 (2006). https://doi.org/10.1002/ctpp.200610001 [Google Scholar]
  30. S. Wiesen, D. Reiter, V. Kotov, M. Baelmans, W. Dekeyser, A. Kukushkin, S. Lisgo, R. Pitts, V. Rozhansky, G. Saibene et al., The new SOLPS-ITER code package, Journal of nuclear materials 463, 480 (2015). https://doi.org/10.1016/j.jnucmat.2014.10.012 [Google Scholar]
  31. T. Rognlien, X. Xu, A. Hindmarsh, Application of parallel implicit methods to edge-plasma numerical simulations, Journal of Computational Physics 175, 249 (2002). https://doi.org/10.1006/jcph.2001.6944 [Google Scholar]
  32. S.I. Braginskii, Transport processes in a plasma, Reviews of Plasma Physics 1, 205 (1965). [Google Scholar]
  33. E. Meier, U. Shumlak, A general nonlinear fluid model for reacting plasma-neutral mixtures, Physics of Plasmas 19 (2012). https://doi.org/10.1063/1.4736975 [Google Scholar]
  34. B. Ayuso, L.D. Marini, Discontinuous Galerkin methods for advection-diffusion-reaction problems, SIAM Journal on Numerical Analysis 47, 1391 (2009). https://doi.org/10.1137/080719583 [Google Scholar]
  35. A. Valli, G. Carey, A. Coutinho, Control strategies for timestep selection in simulation of coupled viscous flow and heat transfer, Communications in Numerical Methods in Engineering 18, 131 (2002). https://doi.org/10.1002/cnm.475 [Google Scholar]
  36. K. Gustafsson, M. Lundh, G. Söderlind, A pi stepsize control for the numerical solution of ordinary differential equations, BIT Numerical Mathematics 28, 270 (1988). https://doi.org/10.1007/BF01934091 [Google Scholar]
  37. K. Gustafsson, Control-theoretic techniques for stepsize selection in implicit Runge-Kutta methods, ACM Transactions on Mathematical Software (TOMS) 20, 496 (1994). https://doi.org/10.1145/198429.198437 [Google Scholar]
  38. X.S. Li, J.W. Demmel, SuperLU_DIST: A scalable distributed-memory sparse direct solver for unsymmetric linear systems, ACM Transactions on Mathematical Software (TOMS) 29, 110 (2003). https://doi.org/10.1145/779359.779361 [Google Scholar]
  39. P.R. Amestoy, I.S. Duff, J.Y. L’Excellent, J. Koster, A fully asynchronous multifrontal solver using distributed dynamic scheduling, SIAM Journal on Matrix Analysis and Applications 23, 15 (2001). https://doi.org/10.1137/S0895479899358194 [Google Scholar]
  40. hypre, hypre: High performance preconditioners, https://llnl.gov/casc/hypre, https:// github.com/hypre-space/hypre [Google Scholar]
  41. C. Sovinec, A. Glasser, T. Gianakon, D. Barnes, R. Nebel, S. Kruger, D. Schnack, S. Plimpton, A. Tarditi, M. Chu et al., Nonlinear magnetohy-drodynamics simulation using high-order finite elements, Journal of Computational Physics 195, 355 (2004). https://doi.org/10.1016/j.jcp.2003.10.004 [Google Scholar]
  42. J.D. Lore, R.L. Barnett, D.L. Green, M.L. Stowell, M. Kobayashi, Development of a far-SOL unstructured-mesh fluid-plasma transport solver for RF antenna simulations, 28th IAEA Fusion Energy Conference (2021). [Google Scholar]
  43. M. Umansky, M. Day, T. Rognlien, On numerical solution of strongly anisotropic diffusion equation on misaligned grids, Numerical Heat Transfer, Part B: Fundamentals 47, 533 (2005). https://doi.org/10.1080/10407790590928946 [Google Scholar]
  44. H. Childs, E. Brugger, B. Whitlock, J. Meredith, S. Ahern, D. Pugmire, K. Biagas, M. Miller, C. Harrison, G.H. Weber et al., Visit: An enduser tool for visualizing and analyzing very large data, High Performance Visualization–Enabling Extreme-Scale Scientific Insight pp. 357–372 (2012). https://doi.org/10.1201/b12985 [Google Scholar]
  45. C.J. Vogl, I. Joseph, M. Holec, Mesh refinement for anisotropic diffusion in magnetized plasmas, Computers & Mathematics with Applications 145, 159 (2023). https://doi.org/10.1016/j.camwa.2023.06.019 [Google Scholar]
  46. D. Green, X. Hu, J. Lore, L. Mu, M.L. Stowell, An efficient high-order solver for diffusion equations with strong anisotropy on non-anisotropy-aligned meshes, SIAM Journal on Scientific Computing 46, S199 (2024). https://doi.org/10.1137/22M1500162 [Google Scholar]

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