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

Jozef Kacur; Roger Van Keer

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

  • Volume: 35, Issue: 5, page 981-1006
  • ISSN: 0764-583X

Abstract

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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.

How to cite

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Kacur, Jozef, and Van Keer, Roger. "Solution of contaminant transport with adsorption in porous media by the method of characteristics." ESAIM: Mathematical Modelling and Numerical Analysis 35.5 (2010): 981-1006. <http://eudml.org/doc/197414>.

@article{Kacur2010,
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. },
author = {Kacur, Jozef, Van Keer, Roger},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
keywords = {Relaxation method; method of characteristics; contaminant transport; convection-diffusion with adsorption.; relaxation method; contaminant transport; convection-diffusion; adsorption; convergence; porous media},
language = {eng},
month = {3},
number = {5},
pages = {981-1006},
publisher = {EDP Sciences},
title = {Solution of contaminant transport with adsorption in porous media by the method of characteristics},
url = {http://eudml.org/doc/197414},
volume = {35},
year = {2010},
}

TY - JOUR
AU - Kacur, Jozef
AU - Van Keer, Roger
TI - Solution of contaminant transport with adsorption in porous media by the method of characteristics
JO - ESAIM: Mathematical Modelling and Numerical Analysis
DA - 2010/3//
PB - EDP Sciences
VL - 35
IS - 5
SP - 981
EP - 1006
AB - 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.
LA - eng
KW - Relaxation method; method of characteristics; contaminant transport; convection-diffusion with adsorption.; relaxation method; contaminant transport; convection-diffusion; adsorption; convergence; porous media
UR - http://eudml.org/doc/197414
ER -

References

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