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Combining the hybrid mimetic mixed method with the Scharfetter-Gummel scheme for magnetised transport in plasmas

Author

Listed:
  • Hanz Martin Cheng

    (Lappeenranta–Lahti University of Technology
    Eindhoven University of Technology)

  • Jan ten Thije Boonkkamp

    (Eindhoven University of Technology)

  • Jesper Janssen

    (Plasma Matters B.V.)

  • Diana Mihailova

    (Plasma Matters B.V.)

  • Jan van Dijk

    (Eindhoven University of Technology)

Abstract

In this paper, we propose a numerical scheme for fluid models of magnetised plasmas. One important feature of the numerical scheme is that it should be able to handle the anisotropy induced by the magnetic field. In order to do so, we propose the use of the hybrid mimetic mixed (HMM) scheme for diffusion. This is combined with a hybridised variant of the Scharfetter-Gummel (SG) scheme for advection. The proposed hybrid scheme can be implemented very efficiently via static condensation. Numerical tests are then performed to show the applicability of the combined HMM-SG scheme, even for highly anisotropic magnetic fields.

Suggested Citation

  • Hanz Martin Cheng & Jan ten Thije Boonkkamp & Jesper Janssen & Diana Mihailova & Jan van Dijk, 2023. "Combining the hybrid mimetic mixed method with the Scharfetter-Gummel scheme for magnetised transport in plasmas," Partial Differential Equations and Applications, Springer, vol. 4(6), pages 1-27, December.
    • Handle: RePEc:spr:pardea:v:4:y:2023:i:6:d:10.1007_s42985-023-00265-9
    DOI: 10.1007/s42985-023-00265-9
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