Now showing items 1-3 of 3

    • Beyond the Oberbeck-Boussinesq and long wavelength approximation 

      Held, Markus; Wiesenberger, Matthias (Journal article; Tidsskriftartikkel; Peer reviewed, 2022-12-22)
      We present the first simulations of a reduced magnetized plasma model that incorporates both arbitrary wavelength polarization and non-Oberbeck–Boussinesq effects. Significant influence of these two effects on the density, electric potential and <i><b>E</i></b> × <i><b>B</i></b> vorticity and non-linear dynamics of interchange blobs are reported. Arbitrary wavelength polarization implicates so-called ...
    • A finite volume flux coordinate independent approach 

      Wiesenberger, Matthias; Held, Markus (Journal article; Tidsskriftartikkel; Peer reviewed, 2023-07-03)
      We present a novel family of schemes as the merging between a one-dimensional advection scheme with the flux coordinate independent approach. The scheme can be used to discretize the field-aligned NavierStokes equations in three dimensions. Our approach consists of three major steps: (i) the formulation of the one-dimensional scheme in a locally field-aligned coordinate system, (ii) a numerical ...
    • Numerical evaluation of line, surface and toroidal integrals on level sets of toroidally symmetric functions 

      Wiesenberger, Matthias; Gerrú, Raul; Held, Markus (Journal article; Tidsskriftartikkel; Peer reviewed, 2023-08-05)
      We investigate strategies to numerically integrate closed lines and surfaces that are implicitly defined by level sets (iso-contours) of continuously differentiable toroidally symmetric functions. The “grid-transform” approach transforms quantities given in non-surface-aligned coordinates onto a numerically constructed surface-aligned grid. Here, line and surface integrals, as well as so-called ...