Finite-volume scheme for anisotropic diffusion

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...

Full description

Saved in:
Bibliographic Details
Published in:Journal of computational physics 2016-02, Vol.306, p.422-442
Main Authors: van Es, Bram, Koren, Barry, de Blank, Hugo J.
Format: Article
Language:English
Subjects:
Adaptation
Anisotropic diffusion
ANISOTROPY
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
DIFFUSION
DIFFUSION EQUATIONS
Finite volumes
GRIDS
HEAT
Mathematical analysis
Mathematical models
Nuclear fusion
PLASMA
Plasma (physics)
TEMPERATURE DISTRIBUTION
Temperature gradient
TEMPERATURE GRADIENTS
THERMAL CONDUCTION
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:0021-9991
1090-2716
DOI:10.1016/j.jcp.2015.11.041