Finite-volume scheme for anisotropic diffusion

TitleFinite-volume scheme for anisotropic diffusion
Publication TypeJournal Article
Year of Publication2016
AuthorsB. van Es, B. Koren, H.J de Blank
JournalJournal of Computational Physics
Volume306
Pagination422-442
Date Published02/2016
KeywordsAnisotropic diffusion, Finite volumes
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.

DOI10.1016/j.jcp.2015.11.041
Division

FP

Department

CPP

PID

06259ac8428785daf99d73b98b775195

Alternate TitleJ. Comput. Phys.
LabelOA
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