Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 114
Anderson Acceleration method for a reactive transport with sorption in porous media
Sadiq Hamidi, Mustapha El Ossmani, Abdelaziz Taakili
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 15, 2022
March 03, 2108
April 15, 2108

Abstract: This work deals with the numerical solution of a nonlinear degenerated model arising from the mathematical modeling of reactive transport in porous media, including equilibrium sorption. The model is a simplified, yet representative, version of multicomponents reactive transport models. Our approach is based on the Nonlinear Two Point Flux Approximation (NTPFA) for the diffusion term, and an upwinding scheme to handle advective term. The discrete nonlinear system is solved by the Picard method that preserves the positivity of the solution on each iteration. Our aim is, on the one hand, to ...