Hyperbolic diffusion with Christov–Morro theory

M. Gentile and B. Straughan

Mathematics and Computers in Simulation (MATCOM), 2016, vol. 127, issue C, 94-100

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.

Keywords: Convection in porous media; Hyperbolic diffusion; Christov concentration flux equation; Linear instability; Oscillatory convection (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:127:y:2016:i:c:p:94-100

DOI: 10.1016/j.matcom.2012.07.010

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