Hyperbolic diffusion with Christov–Morro theory

Gentile, M.; Straughan, B.

doi:10.1016/j.matcom.2012.07.010

Hyperbolic diffusion with Christov–Morro theory

Gentile, M.; Straughan, B.

Authors

M. Gentile

B. Straughan

Abstract

We employ recent ideas of C.I. Christov and of A. Morro to develop a theory for diffusion of a solute in a Darcy porous medium taking convection effects into account. The key point is that the solute evolution is not governed by a parabolic system of equations. Indeed, the theory developed is basically hyperbolic. This still leads to a model which allows for convective (gravitational) overturning in a porous layer, but in addition to the classical mode of stationary convection instability there is the possibility of oscillating convection being dominant for a lower salt Rayleigh number, if the relaxation time is sufficiently large.

Citation

Gentile, M., & Straughan, B. (2012). Hyperbolic diffusion with Christov–Morro theory. Mathematics and Computers in Simulation, 127, 94-100. https://doi.org/10.1016/j.matcom.2012.07.010

Journal Article Type	Article
Acceptance Date	Jul 5, 2012
Online Publication Date	Jul 31, 2012
Publication Date	Jul 31, 2012
Deposit Date	Mar 22, 2018
Publicly Available Date	Mar 22, 2018
Journal	Mathematics and Computers in Simulation
Print ISSN	0378-4754
Publisher	Elsevier
Peer Reviewed	Peer Reviewed
Volume	127
Pages	94-100
DOI	https://doi.org/10.1016/j.matcom.2012.07.010

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http://creativecommons.org/licenses/by-nc-nd/4.0/

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© 2018 This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/