Finite-volume scheme for anisotropic diffusion

Bram Es, van, Barry Koren, Hugo de Blank

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Abstract

In this paper, we apply a special finite-volume scheme, limited to smooth temperature distributions and Cartesian grids, to test the importance of connectivity of the finite volumes. The area of application is nuclear fusion plasma with field line aligned temperature gradients and extreme anisotropy. We apply the scheme to the anisotropic heat-conduction equation, and compare its results with those of existing finite-volume schemes for anisotropic diffusion. Also, we introduce a general model adaptation of the steady diffusion equation for extremely anisotropic diffusion problems with closed field lines.
Original languageEnglish
Pages (from-to)422-442
JournalJournal of Computational Physics
Volume306
DOIs
Publication statusPublished - 1 Feb 2016

Keywords

  • Finite volumes
  • Anisotropic diffusion

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