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Solution of solute transport in unsaturated porous media by the method of characteristics
Author(s) -
Kačur Jozef,
Mahmood Mohammed Shuker
Publication year - 2003
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.10070
Subject(s) - porous medium , convergence (economics) , degenerate energy levels , diffusion , mathematics , relaxation (psychology) , partial differential equation , scheme (mathematics) , partial derivative , convection–diffusion equation , porosity , mathematical analysis , thermodynamics , chemistry , physics , psychology , social psychology , organic chemistry , quantum mechanics , economics , economic growth
A degenerate convection‐diffusion problem is approximated using the scheme that is based on the relaxation method and also the method of characteristics. A mathematical model for solute transport in unsaturated porous media is included. Moreover, multiple site adsorption is considered. Convergence of the scheme is proved and numerical experiments in 1D and 2D are presented. © 2003 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 19: 732–761, 2003.