Volume 3, Issue 2
Crank-Nicolson Finite Element for 2-D Groundwater Flow, Advection-Dispersion and Interphase Mass Transfer: I. Model Development

MORRAKOT KHEBCHAREON

Int. J. Numer. Anal. Mod. B, 3 (2012), pp. 109-125.

Published online: 2012-03

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  • Abstract
Dense, non-aqueous phase liquids (DNAPLs) are common organic contaminants in subsurface environment. Once spilled or leaked underground, they slowly dissolved into groundwater and generated a plume of contaminants. In order to manage the contaminated site and predict the behavior of dissolved DNAPL in heterogeneous subsurface requires a comprehensive numerical model. In this work, the Crank-Nicolson finite-element Galerkin (CN-FEG) numerical scheme for solving a set coupled system of partial differential equations that describes fate and transport of dissolved organic compounds in two-dimensional domain was developed and implemented. Assumptions are made so that the code can be compared and verified with available analytical solutions.
  • AMS Subject Headings

35R35 49J40 60G40

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@Article{IJNAMB-3-109, author = {MORRAKOT KHEBCHAREON}, title = {Crank-Nicolson Finite Element for 2-D Groundwater Flow, Advection-Dispersion and Interphase Mass Transfer: I. Model Development}, journal = {International Journal of Numerical Analysis Modeling Series B}, year = {2012}, volume = {3}, number = {2}, pages = {109--125}, abstract = {Dense, non-aqueous phase liquids (DNAPLs) are common organic contaminants in subsurface environment. Once spilled or leaked underground, they slowly dissolved into groundwater and generated a plume of contaminants. In order to manage the contaminated site and predict the behavior of dissolved DNAPL in heterogeneous subsurface requires a comprehensive numerical model. In this work, the Crank-Nicolson finite-element Galerkin (CN-FEG) numerical scheme for solving a set coupled system of partial differential equations that describes fate and transport of dissolved organic compounds in two-dimensional domain was developed and implemented. Assumptions are made so that the code can be compared and verified with available analytical solutions.}, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnamb/274.html} }
TY - JOUR T1 - Crank-Nicolson Finite Element for 2-D Groundwater Flow, Advection-Dispersion and Interphase Mass Transfer: I. Model Development AU - MORRAKOT KHEBCHAREON JO - International Journal of Numerical Analysis Modeling Series B VL - 2 SP - 109 EP - 125 PY - 2012 DA - 2012/03 SN - 3 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnamb/274.html KW - Groundwater KW - Advection-Dispersi on KW - Crank-Nicolson KW - Finite Element Galerkin KW - Mass Transfer AB - Dense, non-aqueous phase liquids (DNAPLs) are common organic contaminants in subsurface environment. Once spilled or leaked underground, they slowly dissolved into groundwater and generated a plume of contaminants. In order to manage the contaminated site and predict the behavior of dissolved DNAPL in heterogeneous subsurface requires a comprehensive numerical model. In this work, the Crank-Nicolson finite-element Galerkin (CN-FEG) numerical scheme for solving a set coupled system of partial differential equations that describes fate and transport of dissolved organic compounds in two-dimensional domain was developed and implemented. Assumptions are made so that the code can be compared and verified with available analytical solutions.
MORRAKOT KHEBCHAREON. (2012). Crank-Nicolson Finite Element for 2-D Groundwater Flow, Advection-Dispersion and Interphase Mass Transfer: I. Model Development. International Journal of Numerical Analysis Modeling Series B. 3 (2). 109-125. doi:
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