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Solution of contaminant transport with adsorption in porous media by the method of characteristics

Published online by Cambridge University Press:  15 April 2002

Jozef Kacur  and
Roger Van Keer
Jozef Kacur
Affiliation:
Faculty of Mathematics and Physics, Comenius University Mlynska Dolina, 84815 Bratislava, Slovakia. (kacur@fmph.uniba.sk)
Roger Van Keer
Affiliation:
Ghent University, Department of Mathematical Analysis, Galglaan 2, 9000 Gent, Belgium. (roger.vankeer@cage.rug.ac.be)
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Abstract

A new approximation scheme is presented for the mathematical model of convection-diffusion and adsorption. The method is based on the relaxation method and the method of characteristics. We prove the convergence of the method and present some numerical experiments in 1D. The results can be applied to the model of contaminant transport in porous media with multi-site, equilibrium and non-equilibrium type of adsorption.

Keywords

Relaxation methodmethod of characteristicscontaminant transportconvection-diffusion with adsorption.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 35 , Issue 5 , September 2001 , pp. 981 - 1006
Copyright
© EDP Sciences, SMAI, 2001

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