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An ELLAM approximation for advective-dispersive transport with nonlinear sorption

Elsevier B.V.
Publication Date
DOI: 10.1016/s0167-5648(04)80077-7


We consider an Eulerian-Lagrangian Localized Adjoint Method (ELLAM) applied to nonlinear model equations governing solute transport and sorption reactions in porous media. Solute transport in the aqueous phase is modeled by standard advection and diffusion processes while sorption reactions are modeled with a local equilibrium assumption and the nonlinear Freundlich equilibrium isotherm. In this work we focus particularly on the case when the Freundlich isotherm is not Lipschitz continuous. We present our implementation of a finite volume ELLAM (FV-ELLAM) discretization to the reactive transport model and evaluate its performance for two test problems containing self-sharpening fronts.

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