Finite-volume scheme for anisotropic diffusion

Journal Article · Mon Feb 01 00:00:00 EST 2016 · Journal of Computational Physics

DOI:https://doi.org/10.1016/J.JCP.2015.11.041· OSTI ID:22570221

Koren, Barry ^[1]; Blank, Hugo J. de ^[2]

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1. Eindhoven University of Technology (Netherlands)
2. FOM Institute DIFFER, Dutch Institute for Fundamental Energy Research, The Netherlands"1 (Netherlands)

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.

• OSTI ID: 22570221
• Journal Information: Journal of Computational Physics, Vol. 306; Other Information: Copyright (c) 2015 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA); ISSN 0021-9991
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANISOTROPY
DIFFUSION
DIFFUSION EQUATIONS
GRIDS
HEAT
PLASMA
TEMPERATURE DISTRIBUTION
TEMPERATURE GRADIENTS
THERMAL CONDUCTION