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On hyperbolic method for diffusion with discontinuous coefficients.

Authors :
Nishikawa, Hiroaki
Source :
Journal of Computational Physics. Aug2018, Vol. 367, p102-108. 7p.
Publication Year :
2018

Abstract

It is shown that the hyperbolic method, if formulated with diffusive fluxes as additional solution variables, works directly and naturally for diffusion problems with discontinuous coefficients as well as discontinuous tangential fluxes across a material interface. A suitable formulation is given, and numerical examples are shown to demonstrate that a hyperbolic scheme can produce exact non-differentiable piecewise-linear solutions for problems with discontinuous coefficients and tangential fluxes. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00219991
Volume :
367
Database :
Academic Search Index
Journal :
Journal of Computational Physics
Publication Type :
Academic Journal
Accession number :
129681510
Full Text :
https://doi.org/10.1016/j.jcp.2018.04.027