Numerical Solutions for Nonequilibrium Solute Transport with First-Order Decay and Zero-Order Production
Year: 2012
International Journal of Numerical Analysis and Modeling, Vol. 9 (2012), Iss. 2 : pp. 247–256
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2012-IJNAM-624
International Journal of Numerical Analysis and Modeling, Vol. 9 (2012), Iss. 2 : pp. 247–256
Published online: 2012-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: Solute transport error estimate modified upwind finite difference.