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@ARTICLE{Effenberger:15157,
      author       = {Effenberger, F. and Thust, K. and Arnold, L. and Grauer, R.
                      and Dreher, J.},
      title        = {{N}umerical simulation of current sheet formation in a
                      quasiseparatrix layer using adaptive mesh refinement},
      journal      = {Physics of plasmas},
      volume       = {18},
      issn         = {1070-664X},
      address      = {[S.l.]},
      publisher    = {American Institute of Physics},
      reportid     = {PreJuSER-15157},
      pages        = {032902},
      year         = {2011},
      note         = {This work was supported by Deutsche Forschungsgemeinschaft
                      through Forschergruppe FOR 1048 and by the European
                      Commission through the Solaire network (Grant No.
                      MTRN-CT-2006-035484).},
      abstract     = {The formation of a thin current sheet in a magnetic
                      quasiseparatrix layer (QSL) is investigated by means of
                      numerical simulation using a simplified ideal, low-beta, MHD
                      model. The initial configuration and driving boundary
                      conditions are relevant to phenomena observed in the solar
                      corona and were studied earlier by Aulanier et al. [Astron.
                      Astrophys. 444, 961 (2005)]. In extension to that work, we
                      use the technique of adaptive mesh refinement (AMR) to
                      significantly enhance the local spatial resolution of the
                      current sheet during its formation, which enables us to
                      follow the evolution into a later stage. Our simulations are
                      in good agreement with the results of Aulanier et al. up to
                      the calculated time in that work. In a later phase, we
                      observe a basically unarrested collapse of the sheet to
                      length scales that are more than one order of magnitude
                      smaller than those reported earlier. The current density
                      attains correspondingly larger maximum values within the
                      sheet. During this thinning process, which is finally
                      limited by lack of resolution even in the AMR studies, the
                      current sheet moves upward, following a global expansion of
                      the magnetic structure during the quasistatic evolution. The
                      sheet is locally one-dimensional and the plasma flow in its
                      vicinity, when transformed into a comoving frame,
                      qualitatively resembles a stagnation point flow. In
                      conclusion, our simulations support the idea that extremely
                      high current densities are generated in the vicinities of
                      QSLs as a response to external perturbations, with no sign
                      of saturation. (C) 2011 American Institute of Physics.
                      [doi:10.1063/1.3565018]},
      keywords     = {J (WoSType)},
      cin          = {JSC},
      ddc          = {530},
      cid          = {I:(DE-Juel1)JSC-20090406},
      pnm          = {Scientific Computing (FUEK411) / 411 - Computational
                      Science and Mathematical Methods (POF2-411)},
      pid          = {G:(DE-Juel1)FUEK411 / G:(DE-HGF)POF2-411},
      shelfmark    = {Physics, Fluids $\&$ Plasmas},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000289151900055},
      doi          = {10.1063/1.3565018},
      url          = {https://juser.fz-juelich.de/record/15157},
}