Total variation diminishing schemes for pollutant transport in porous media |
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| Authors: | Lahcen Zouhri Hassan Smaoui Erick Carlier |
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| Institution: | 1. UMR CNRS 8110, Processus et Bilans des Domaines Sédimentaires, UFR des Sciences de la Terre, Université des Sciences et Technologies de Lille (USTL), 59655 Villeneuve d'Ascq, France;2. Ecole Nationale Supérieure des Arts et Métiers (ENSAM), 50000 Meknès, Morocco;3. UMR CNRS 8107, Laboratoire de Mécanique de Lille, Université des Sciences et Technologies de Lille (USTL), Polytech‐Lille, 59655 Villeneuve d'Ascq, France |
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| Abstract: | A bidimensional numerical model has been used in order to simulate the contaminant transport in the coastal groundwater area (Atlantic margin of the Rharb basin, Morocco). This groundwater is materialized by means of the salt contamination derived from several factors: evapotranspiration, lithological series formations, marine intrusion, and processes of interaction between water and rocks. In order to reduce the numerical diffusion and limit the numerical dispersion, we use the Superbee flux limiter as a total variation diminishing scheme to discretize the convective operator. This kind of discretization was applied to the coastal groundwater of the Rharb basin (Morocco). The results show that the Superbee flux limiter is efficient at drawing the path of the contaminant front with high accuracy. Consequently, this scheme could constitute an approach in water management and allows one to prevent the risks of pollution and to manage the groundwater resource from a durable development perspective. Copyright © 2007 John Wiley & Sons, Ltd. |
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| Keywords: | groundwater transport contaminants flux limiters TVD schemes managements |
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