Abstract: | We formulate mathematical and numerical models for multispecies, multi-phase and non-isothermal reactive fluid flow in porous
media focusing on the chemical reactions and the transport of solutes. Mass conservation and stability in the time integration
are emphasized. We use cell-centered finite volume differencing in space and an implicit Runge-Kutta method in time. Assuming
two space dimensions, we introduce flux approximation for arbitrarily shaped convex quadrilaterals. On equidistant and variable
sized rectangular grids we choose limited κ=
related schemes to approximate the advective flux and the central difference scheme for the diffusive flux. On non-rectangular
grids we recommend the VF9 scheme for the estimation of the diffusive flux. Our model exists as a code.
This revised version was published online in July 2006 with corrections to the Cover Date. |