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

Zichen Deng

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

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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.

  • History

Published online: 2012-03

  • AMS Subject Headings

35R35, 49J40, 60G40

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