J. Kacur et R. Van Keer, Solution of contaminant transport with adsorption in porous media by the method of characteristics, ESAIM-M MOD, 35(5), 2001, pp. 981-1006
Citations number
27
Categorie Soggetti
Mathematics
Journal title
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE
A new approximation scheme is presented for the mathematical model of conve
ction-diffusion and adsorption. The method is based on the relaxation metho
d and the method of characteristics. We prove the convergence of the method
and present some numerical experiments in 1D. The results can be applied t
o the model of contaminant transport in porous media with multi-site, equil
ibrium and non-equilibrium type of adsorption.