Abstract
We describe and analyze a streamline-upwinded, Petrov–Galerkin (SUPG) method for numerical simulation of transport models with adsorption kinetics. Specifically, we rewrite the adsorption term to pose the problem using a single mass accumulation term for the liquid phase concentration. The rate of adsorption is used in the nonlinear coefficient for the mass accumulation. We use streamline upwinding to stabilize the advection-dominated applications we consider. We provide a priori error analysis verified by numerical results, and we provide additional numerical results demonstrating the usefulness of our scheme. We consider a variety of adsorption model parameters and describe the performance of our algorithm in these cases.
Original language | English (US) |
---|---|
Article number | 89 |
Journal | Computational and Applied Mathematics |
Volume | 39 |
Issue number | 2 |
DOIs | |
State | Published - May 1 2020 |
Keywords
- Adsorption
- Nonlinear fluid transport
- Porous media
- SUPG
ASJC Scopus subject areas
- Computational Mathematics
- Applied Mathematics