Abstract
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.
This work is supported by the National Natural Science Foundation of China (Grant No. 10271066). The Project-sponsored by SRF for ROCS, SEM.
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Deng, Y., Cui, M. (2010). Numerical Methods for Nonequilibrium Solute Transport with First-Order Decay and Zero-Order Production. In: Zhang, W., Chen, Z., Douglas, C.C., Tong, W. (eds) High Performance Computing and Applications. Lecture Notes in Computer Science, vol 5938. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11842-5_16
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