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Adaptive Grid Refinement in Numerical Models for Water Flow and Chemical Transport in Soil

A Review

^a Soil and Water Science Department, University of Florida, 2169 McCarty Hall, Gainesville, FL 32611-0290
^b USDA-ARS-NA-GPSR, 301 South Howes Street, Fort Collins, CO 80521

View larger version (20K): [in a new window]   Fig. 1. Spatial plot of volumetric water content and the second derivative of total water pressure head during water infiltration into initially dry soil (adapted from Fig. 4 in Dane et al., 1982).

View larger version (64K): [in a new window]   Fig. 2. (A) First adapted mesh with 1916 finite elements (adapted from Fig. 9 in Cao and Kitanidis, 1999); (B) fifth adapted mesh with 9845 finite elements (adapted from Fig. 15 in Cao and Kitanidis, 1999); (C) streamlines associated with the initial mesh (the discharge between two consecutive plotted streamlines is 0.05 if the total discharge is regarded as 1) (adapted from Fig. 7 in Cao and Kitanidis, 1999); and (D) flownet associated with the fifth adapted mesh (the discharge passing between two consecutive plotted streamlines is 0.05 if the total discharge is regarded as 1) (adapted from Fig. 17 in Cao and Kitanidis, 1999).

View larger version (18K): [in a new window]   Fig. 3. Spatial concentration distributions for Gaussian transport problem as obtained with ALGR-EPCOF, Upstream FEM, Galerkin FEM, and Exact Solution for a Peclet number Pe of infinity (convection-dominant transport) (adapted from Fig. 3.4.5 in Yeh, 2000).