We will discuss a new discontinuous finite element method for modeling transport of chemically reacting species in porous media. Accurate modeling of these problems requires the ability to handle sharp fronts and nonlinearities. Mass conservation and the ability to incorporate h and/or p adaptivity are also desirable features of the numerical approximation. We will describe the Local Discontinuous Galerkin method and discuss its application to an interesting model describing competitive adsorption between two species. This model gives rise to some novel wave behavior. A mathematical analysis of the model will also be presented and compared to numerical experiments.
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