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An ELLAM approximation for advective–dispersive transport with nonlinear sorption |
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| Authors: | Matthew W Farthing Christopher E Kees Thomas F Russell Cass T Miller |
| Institution: | 1. Center for the Integrated Study of the Environment, Department of Environmental Sciences and Engineering, University of North Carolina, Chapel Hill, NC 27599-7431, USA;2. US Army Engineer Research and Development Center, Coastal and Hydraulics Laboratory, 3909 Halls Ferry Road, Vicksburg, MS 39180-6199, USA;3. Department of Mathematics, University of Colorado at Denver, P.O. Box 173364, Campus Box 170, Denver, CO 80217-3364, USA |
| Abstract: | We consider an Eulerian–Lagrangian localized adjoint method (ELLAM) applied to nonlinear model equations governing solute transport and sorption in porous media. Solute transport in the aqueous phase is modeled by standard advection and hydrodynamic dispersion processes, while sorption is modeled with a nonlinear local-equilibrium model. We present our implementation of finite volume ELLAM (FV-ELLAM) and finite element (FE-ELLAM) discretizations to the reactive transport model and evaluate their performance for several test problems containing self-sharpening fronts. |
| Keywords: | ELLAM Porous media Freundlich Contaminant transport |
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