Hyperbolic diffusion with Christov–Morro theory

Gentile, M.; Straughan, B.

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