We employ recent ideas of C.I. Christov and 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.
Hyperbolic diffusion with Christov-Morro theory / Gentile, Maurizio; B., Straughan. - In: MATHEMATICS AND COMPUTERS IN SIMULATION. - ISSN 0378-4754. - 127:(2016), pp. 94-100. [10.1016/j.matcom.2012.07.010]
Hyperbolic diffusion with Christov-Morro theory
GENTILE, MAURIZIO
;
2016
Abstract
We employ recent ideas of C.I. Christov and 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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
