A Taylor-series approach to numerical accuracy and a third-order scheme for strong convective flows
Computer Methods in Applied Mechanics and Engineering
Optimum positive linear schemes for advection in two and three dimensions
SIAM Journal on Numerical Analysis
High-resolution conservative algorithms for advection in incompressible flow
SIAM Journal on Numerical Analysis
A method for reducing dispersion in convective difference schemes
Journal of Computational Physics
Mathematical and Computer Modelling: An International Journal
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The objective of this work is to present a numerical study of contaminant migration in saturated porous media. For this purpose, the advection-diffusion equation describing the evolution of contaminant plumes in a 2D horizontal aquifer (Atlantic margin, Rharb Basin of Morocco) is discretized employing a Total Variation Diminishing method (TVD), which provides an efficient way to eliminate spurious numerical oscillations. The stationary velocity field is computed by the ModFlow code using the finite difference method discretization. The initial concentration needed to determine the solution was specified using data from well samples. Numerical examples showing the implementation of the algorithm to describe groundwater contamination by the chloride in the aquifer are presented. This high accuracy method (TVD) constitutes an approach in the water management and allows us to envisage risks of pollution and to manage the groundwater resource from the durable development perspective.