Research Communication | Open Access
Volume 2021 | Communication ID 142
Volume 2021 | Communication ID 142
| A Monotone Finite Volume Scheme for Reactive Transport with Sorption in Porous Media |
Sadiq Hamidi, Mustapha El Ossmani, Abdelaziz Taakili
Received |
Accepted |
Published |
January 29, 2021 |
February 15, 2021 |
March 15, 2021 |
Abstract: This work deals with the numerical solution of a nonlinear degenerate parabolic equation arising in a model of reactive solute transport in porous media, including equilibrium sorption. The model is a simplified, yet representative, version of multicomponents reactive transport models. We develop a second-order numerical scheme based on the nonlinear finite volume method satisfying the monotonicity condition for its numerical approximation. We use the nonlinear two-point approximation for the diffusion term, which can be anisotropic and heterogeneous, and the upwind finite volume method ...