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Volume 9, Issue 2
Numerical Solutions for Nonequilibrium Solute Transport with First-Order Decay and Zero-Order Production

M. Cui & Y. Deng

Int. J. Numer. Anal. Mod., 9 (2012), pp. 247-256.

Published online: 2012-09

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  • 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.

  • Keywords

Solute transport, error estimate, modified upwind finite difference.

  • AMS Subject Headings

35R35, 49J40, 60G40

  • Copyright

COPYRIGHT: © Global Science Press

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  • TXT
@Article{IJNAM-9-247, author = {M. Cui and Y. Deng}, title = {Numerical Solutions for Nonequilibrium Solute Transport with First-Order Decay and Zero-Order Production}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2012}, volume = {9}, number = {2}, pages = {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.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/624.html} }
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 -

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.

M. Cui and Y. Deng. (2012). Numerical Solutions for Nonequilibrium Solute Transport with First-Order Decay and Zero-Order Production. International Journal of Numerical Analysis and Modeling. 9 (2). 247-256. doi:
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