Numerical modelling of convection dominated transport coupled with density driven flow in porous media

In this paper, we present a numerical model for a problem of coupled flow and transport in porous media. We use a barycentre based finite volume method (FVM), which, in the case of convection dominated transport, is combined with suitable upwind methods, in order to avoid numerical instabilities. We present some relevant and new numerical results for the Elder problem, which offer a better understanding of mutually non-compatible results in other papers, by showing the dependence of the recirculating patterns on the level of grid refinement and on the numerical scheme, as well as on (numerical) perturbations.