Solute transport in the subsurface is often considered to be a nonequilibrium process. Nonequilibrium during transport of solutes in porous medium has been categorized as either transport-related or sorption-related. For steady state flow in a homogeneous soil and assuming a linear sorption process, we will consider advection-diffusion-adsorption equations. In this paper, numerical methods are considered for the mathematical model for steady state flow in a homogeneous soil with a linear sorption process. The modified upwind finite difference method is adopted to approximate the concentration in mobile regions and immobile regions. Optimal order l 2- error estimate is derived. Numerical results are supplied to justify the theoretical work. © 2010 Springer-Verlag.
CITATION STYLE
Deng, Y., & Cui, M. (2010). Numerical methods for nonequilibrium solute transport with first-order decay and zero-order production. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 5938 LNCS, pp. 127–132). https://doi.org/10.1007/978-3-642-11842-5_16
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