TY - JOUR
T1 - Numerical Solutions for Nonequilibrium Solute Transport with First-Order Decay and Zero-Order Production
AU - M. Cui & Y. Deng
JO - International Journal of Numerical Analysis and Modeling
VL - 2
SP - 247
EP - 256
PY - 2012
DA - 2012/09
SN - 9
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/624.html
KW - Solute transport, error estimate, modified upwind finite difference.
AB - <p style="text-align: justify;">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.</p>