Solution of contaminant transport with adsorption in porous media by the method of characteristics
Faculty of Mathematics and Physics, Comenius University
Mlynska Dolina, 84815 Bratislava, Slovakia. (firstname.lastname@example.org)
2 Ghent University, Department of Mathematical Analysis, Galglaan 2, 9000 Gent, Belgium. (email@example.com)
Revised: 6 June 2001
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.
Mathematics Subject Classification: 65M25 / 65M12
Key words: Relaxation method / method of characteristics / contaminant transport / convection-diffusion with adsorption.
© EDP Sciences, SMAI, 2001